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Given 3 non-collinear points, which of the following statements are not true? There is only 1 plane that contains all 3 points. They will be contained in the same line. Any of the 3 points can be the intersection of 2 planes. Any 2 of the points defines a line entirely within the plane.


Non-collinear points are points which do not form a
straight line. Three non-collinear points create a plane therefore they are
always coplanar. Therefore the statements which are not true are:

They will be contained in the same line. 


Any of the 3 points can be the intersection of 2 planes.

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Identify both the x- and y-intercepts of the linear equation graphed on the coordinate plane above. Use the intercepts to write an equation of the line in point-slope form, slope-intercept form, and general form of a linear equation.Complete your work in the space provided or upload a file that can display math symbols if your work requires it. In your work, be sure to include the coordinates for both intercepts and the equations of the line in all three formats.


The x int (where the line crosses the x axis) is (-2,0)
the y int (where the line crosses the y axis) is (0,-2)

(-2,0)(0,-2)
slope = (-2 – 0) / (0 – (-2) = -2/2 = -1

y = mx + b
slope(m) = -1
use either of ur points (-2,0)…x = -2 and y = 0
sub and find b
0 = -1(-2) + b
0 = 2 + b
-2 = b

so ur equation in slope intercept form is : y = -x – 2

y = -x – 2
x + y = -2
x + y + 2 = 0 <== general form

there can be 2 answer for point slope form…
y – y1 = m(x – x1)
slope(m) = -1
(-2,0)…x1 = -2 and y1 = 0
sub
y – 0 = – (x – (-2)
y – 0 = -(x + 2) <=== point slope form

y – y1 = m(x – x1)
slope(m) = -1
(0,-2)…x1 = 0 and y1 = -2
sub
y – (-2) = – (x – 0)
y + 2 = – (x – 0) <== point slope form

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An airplane traveling 245 m/s east experiences turbulence, so the pilot slows down to 230 m/s. It takes the pilot 7 seconds to slow down to this speed. What is the acceleration of the plane? Round your answer to the nearest hundredth.


Answer:

– 2.14 m/s^2

Explanation:

initial velocity , u = 245 m/s

final velocity, v = 230 m/s

time taken , t = 7 second

By use of first equation of motion,

v = u + a t

where, a be the acceleration.

Substitute the values of v, u and t

230 = 245 + a x 7

a = – 2.14 m/s^2

the acceleration is negative, it means the airplane is slowing.

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An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? plzzz helpppp


Answer:

Distance between plane and airport is 134.4 miles.

Step-by-step explanation:

Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.

To find : How far is the plane from the airport.

Solution : Distance from airport to west is 150 miles and then 170 miles in the direction south  and angle form is S 49.17° W

Refer the attached picture for clearance.

Applying law of cosines

c^2=a^2+b^2-2ab Cos(C)

c=sqrt{a^2+b^2-2ab Cos(C)}

where a= 150 miles

b=170 miles

C=   49.17° angle in degree

c = distance between plane from the airport

Put values in the formula,

c=sqrt{a^2+b^2-2ab Cos(C)}

c=sqrt{150^2+170^2-2(150)(170) Cos(49.17^{circ})}

c=sqrt{22500+28900-51000(0.653)}

c=sqrt{51400-33303}

c=sqrt{18057}

c=134.37

Therefore, Distance between plane and airport is 134.4 miles.

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A polygon is a type of plane figure a square is a type of parallegram which is a special quadrilateral A quadrilateral is a four sided polygon a trapezoid is a type of quadrilateral using the sets definitions below which of the following statements about the sets given is true



A polygon is a type of plane figure a square is a type of parallegram which is a special quadrilateral A quadrilateral is a four sided polygon a trapezoid is a type of quadrilateral using the sets definitions below which of the following statements about the sets given is true

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WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other



WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other

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A plane cuts a pyramid as shown in the diagram. What is the shape of the cross section? A) a hexagon B) a pentagon C) a square D) a triangle



A plane cuts a pyramid as shown in the diagram. What is the shape of the cross section? A) a hexagon B) a pentagon C) a square D) a triangle

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An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3500 feet and Plane B is at an altitude of 2768 feet. Plane A is gaining altitude at 40.25 feet per second and Plane B is gaining altitude at 55.5 feet per second. How many seconds will pass before the planes are at the same altitude? seconds What will their altitude be when they're at the same altitude? feet



An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3500 feet and Plane B is at an altitude of 2768 feet. Plane A is gaining altitude at 40.25 feet per second and Plane B is gaining altitude at 55.5 feet per second. How many seconds will pass before the planes are at the same altitude? seconds What will their altitude be when they’re at the same altitude? feet

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How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?


Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

d=sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

d=sqrt{(x-8)^2+(y-9)^2}.

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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If points r and s are contained in a plane the rs is entirely contained in that plane, true or false


The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Two functions are graphed on the coordinate plane. Which represents where f(x) = g(x)?



Two functions are graphed on the coordinate plane. Which represents where f(x) = g(x)?

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An airplane is flying at a constant speed in a positive direction. It slows down when it approaches the airport where it’s going to land. Which term describes the slowing of the plane? 1.stationary positive velocity 2.positive acceleration 3.negative acceleration 4.constant velocity


The equation of the car is given by the equation,

                          x(t) = 2.31 + 4.90t² – 0.10t⁶

If we are going to differentiate the equation in terms of x, we get the value for velocity.

                  dx/dt = 9.8t – 0.6t⁵

Calculate for the value of t when dx/dt = 0.

                 dx/dt = 0 = (9.8 – 0.6t⁴)(t)

The values of t from the equation is approximately equal to 0 and 2. 

If we substitute these values to the equation for displacement,

(0)   , x = 2.31 + 4.90(0²) – 0.1(0⁶) = 2.31

(2)    , x = 2.31 + 4.90(2²) – 0.1(2⁶) = 15.51

Thus, the positions at the instants where velocity is zero are 2.31 and 15.51 meters. 

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Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1). (2, 8) (1, 4) (8, 8) (4, 4)



Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1). (2, 8) (1, 4) (8, 8) (4, 4)

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Against the wind a commercial airline in south america flew 784 miles in 4 hours. with a tailwind the return trip took 3.53 hours. what was the speed of the plane in still? air


Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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What process modifies light waves to vibrate in a single plane


Answer:

Velocity of plane = 30.93 m/s

Explanation:

Considering vertical motion of ball

    Initial velocity, u =  0 m/s

   Acceleration , a = 9.81 m/s²

   Displacement, s = 195 m

   We have equation of motion s= ut + 0.5 at²

   Substituting

       s= ut + 0.5 at²

       195 = 0 x t + 0.5 x 9.81 x t²

        t = 6.31 seconds

Now considering horizontal motion of ball

   Acceleration , a = 0 m/s²

   Displacement, s = 195 m

   Time, t = 6.31 s

   We have equation of motion s= ut + 0.5 at²

   Substituting

       s= ut + 0.5 at²

       195 = u x 6.31 + 0.5 x 0 x 6.31²

        u = 30.93 m/s

Velocity of plane is horizontal initial speed of ball = 30.93 m/s

Velocity of plane = 30.93 m/s

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Which undefined geometric term is described as a location on a coordinate plane


The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence) 
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)

In a similar fashion, the segments also correspond to one another. 
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)

————————————

AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.

Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.

If we move 4 units down from point B, we land on (7,-10). That isn’t listed as an answer choice. Let’s try moving 4 units up from point B. We land on (7,-2). This is an answer choice

So the final answer is choice C) (7,-2)

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A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the plane traveled 45 miles per hour faster heading south, at what speed was the plane traveling east?


Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

d=sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

d=sqrt{(x-8)^2+(y-9)^2}.

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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Airplane releases a ball as it flies parallel to the ground at a height of 195m, the ball lands on the ground at exactly 195m from the release piont, calculate the speed v of the plane


Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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A plane can fly 600 miles in the same time as it takes a car to go 120 miles. if the car travels 120 mph slower than the plane, find the speed of the plane.


Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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How long does it take a plane, traveling at a speed of 110 m/s, to fly once around a circle whose radius is 2850 m?


Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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Shear causes horizontal movement along a fault plane in a/n _______


Answer:

Rate of movement of snail, s = 0.25 meters per hour

Explanation:

It is given that,

Distance covered by snail, d = 0.5 m

The snail moved this distance in 2 hours

Since, 1 hour = 3600 seconds

So, 2 hour = 7200 seconds

We have to find the rate of movement of snail i.e. s

s=dfrac{d}{t}

So,

s=dfrac{0.5}{7200}

s = 0.000069 m/s

Converting m/s to m/h

So, s = 0.248 m/h

or s = 0.25 meters per hour

Hence, the correct option is (d)

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Question 9(Multiple Choice Worth 1 points) (04.01 MC) Je vais à la bibliothèque. What do I see? medicine a plane sand magazines Question 10(Multiple Choice Worth 1 points) (04.04 MC) Choose the sentence that is written correctly: Mes soeur est petite. Tes soeur est polie. Ma soeur est grande. Mon soeur est jolie. Question 11(Multiple Choice Worth 1 points) (04.01 MC) Vous allez à la campagne. What do you see ? prairies a hotel room a train an assembly line


Question 13 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

Tu es mon amie.

Question 14 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

On est au restaurant.

Question 15 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

Ma maman et moi (My mother and I) sommes de Paris.

Conjugaison du verbe “être” au présent :

Je suis
Tu es
Il,elle,on est
Nous sommes
Vous êtes
Ils,elles sont

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The center of a circle on a cordinate plane is located at the point (2,-1). one endpoint of the diameter is located (0,-2). what are the coordinates of the other endpoint of the diamtere of the circle


Answer:

                The point that lie on the line is:

                        B.  (1,1)

Step-by-step explanation:

We are given that a line passes through the point (0,-1) and has a slope of 2.

We know that the equation of a line passing through (a,b) and having slope m is given by:

           y-b=m(x-a)

Here we have:  (a,b)=(0,-1) and m=2

This means that the equation of line is:

y-(-1)=2(x-0)\\y+1=2x\\y=2x-1

Now we will check which option is true.

A)

                (2,1)

when x=2

we have:

y=2times 2-1\\\y=4-1\\\y=3neq 1

Hence, option: A is incorrect.

B)

                     (1,1)

when x=1

we have:

y=2times 1-1\\\y=2-1\\\y=1

                Hence, option: B is correct.

C)

                      (0,1)

when x=0

we have:

y=2times 0-1\\\y=0-1\\\y=-1neq 1

Hence, option: C is incorrect.

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Let theta denote the angular displacement of a simple pendulum oscillating in a vertical plane. If the mass of the Bob is m, then the tension in string is


Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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Which of these is the best definition of a circle? A. The set of all points in a plane that are equidistant from a single point and a line B. The set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant C. The set of all points in a plane that are a certain distance from a single point D. The set of all points in a plane for which the difference between the distances to two fixed points equals a certain constant


Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

d=sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

d=sqrt{(x-8)^2+(y-9)^2}.

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.