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Ab is perpendicular to cd how many 90 angles are formed by the intersection

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Ab is perpendicular to cd how many 90 angles are formed by the intersection

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When any two lines intersect, four angles are formed. If the intersection is perpendicular, then each angle is 90°

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When any two lines intersect, four angles are formed. If the intersection is perpendicular, then each angle is 90°

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Write the equation of a line that satisfies the following conditions: perpendicular to y=4x+3; passes through (8,5)

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Write the equation of a line that satisfies the following conditions: perpendicular to y=4x+3; passes through (8,5)

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Eric states that the slopes of perpendicular lines are opposite reciprocals (i.e. that the slope of one is equal to the negative of the reciprocal of the other), and Aviva states that the product of the slopes of perpendicular lines is −1. Who is correct? Why? Explain your reasoning with an example. If one of the lines is vertical and the other one is horizontal, how would your answer change?

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Answered by answersmine AT 22/10/2019 – 03:50 AM

Eric’s statement is correct that the slopes of the perpendicular lines are opposites reciprocal with each other compared to Aviva’s. Aviva’s statement is correct but is not usually the case. An example is that when you are given these functions such as y = -2x + 3 and y = 1/2x + 4. The coefficients of the x variable are 2 and negative 1/2. The slopes must be in opposite signs so that the two functions will intersect at a common point and will form a ninety degree angle. This is the very basis of a perpendicular line because if both lines have the same slopes, then both lines are just parallel with each other, they cannot intersect.

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Which equation has a graph that is perpendicular to the graph of 4x – 2y = 1?

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Which equation has a graph that is perpendicular to the graph of 4x – 2y = 1?

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If an angle formed by perpendicular lines has a ray in its interior coming from the vertex of the right angle, what do we call the relationship of the two angles? Select one: a. Right angles b. Corresponding angles c. Alternate interior angles d. Complementary angles

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Answered by answersmine AT 22/10/2019 – 04:13 AM

The ray divides one of the right angles into two smaller angles, but we are not told whether or not the smaller angles are equal or unequal.  These two angles are complementary angles.  Why? Because their sum is 90 degrees (definition of complementary angles).

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Determine which of the following equations are perpendicular to each other. I. y=-3x+2 II. -3x+2y=1 III. x+3y=1 IV. y+1/3x+9 A. I and III B. I and IV C. II and IV D. None of these equations are perpendicular.

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Write each equation in y = mx + b form so that you can compare the slopes.
Perpendicular slopes are opposite reciprocals.
For example: 2/3 and – 3/2; 4/5 and -5/4; 1/2 and -2

I. y = -3x + 2                 m = -3
II. y = 3/2 x + 1/2          m = 3/2
III.  y = – 1/3x  + 1/3      m = -1/3
IV. y = 1/3x + 9             m = 1/3          (I assuming this one had a typo in it                                                                   since there is no equal sign.) 
LETTER B is the answer I & IV

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What is the slope of a line that is perpendicular to the line y=2x-6? A.1/6 B.-2 C.2 D.-1/2 I think it is C but I am not sure. Also, can you explain how you find it. Thank You!

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Answer: undefined

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

text{Slope}=dfrac{d-b}{c-a}

The given points :  (-4, 3) and (-4, 7)

Then , the  slope of a line passing through two points  (-4, 3) and (-4, 7) is given by :-

text{Slope}=dfrac{7-3}{-4-(-4)}=dfrac{4}{-4+4}\\Rightarrowtext{Slope}=dfrac{4}{0}\\Rightarrow text{Slope}=infty

Since , the parallel have the same slope  .

Therefore, the slope of the line that is parallel to line m is undefined.

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What is the equation that is perpendicular and passes through 8,3

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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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The slopes of perpendicular line segments are 1/2 and d/3 What is the value of d? d=-6 d=-3/2 d=3/4 d=6

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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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Find the volume v of the described solid s. the base of s is a circular disk with radius 5r. parallel cross-sections perpendicular to the base are squares.

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Find the volume v of the described solid s. the base of s is a circular disk with radius 5r. parallel cross-sections perpendicular to the base are squares.

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What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?

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Answer: undefined

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

text{Slope}=dfrac{d-b}{c-a}

The given points :  (-4, 3) and (-4, 7)

Then , the  slope of a line passing through two points  (-4, 3) and (-4, 7) is given by :-

text{Slope}=dfrac{7-3}{-4-(-4)}=dfrac{4}{-4+4}\\Rightarrowtext{Slope}=dfrac{4}{0}\\Rightarrow text{Slope}=infty

Since , the parallel have the same slope  .

Therefore, the slope of the line that is parallel to line m is undefined.

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The slope of a line perpendicular to y=-3x-4

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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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If lines are parallel or perpendicular 4x-8y=9 and 8x-7y=9

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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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Which statement is true about the graphs of the two lines y = –6 and x =1/6 ? The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0. The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0. The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined. The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined.

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Answer:

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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Which statement is true about the graphs of the two lines y = –6 and x = ? a The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0. b The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0. c The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined. d The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.

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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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What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x + 10 and passes through the point (15, –5)? The equation of the line in slope-intercept form is y =-5/3 x + ____

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What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x + 10 and passes through the point (15, –5)? The equation of the line in slope-intercept form is y =-5/3 x + ____

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The three types of parking maneuvers are Perpendicular, Parallel, and ________________.

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The three types of parking maneuvers are Perpendicular, Parallel, and ________________.

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When slicing a cube perpendicular to its base, parallel to its base, or diagonal to its base, what is the maximum number of sides the cross section shape could have?

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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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Are the lines parallel, perpendicular, or neither?5x + 2y = 1015x + 4y = -4

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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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If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other than what is it

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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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A yacht is pushed along at a constant velocity by the wind. The wind force is 180N at an angle of 25 degrees to the direction of the of the motion of the yacht. By resolving the wind force parallel and perpendicular to the direction of motion, determine the component of the wind force in the direction of motion.

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The
maximum altitude that the bullet will reach is the point at which its velocity
is zero. The equation that may be used in order to determine the altitude is,

                                   D = ((Vi)2 –
(Vf)2)/2g

Where
Vi and Vf are the initial and final velocities, respectively. g is the
deceleration due to gravity.

Substituting
the known values,

                                    D
= ((700 m/s)2 – (0 m/s)2) / (2(-9.8 m/s2))

                                    D = 25000 m

 

Thus,
the maximum height is 25000 m.

 

For
the time needed to reach it, we use the equation,

                                    Vf
= Vi – (g)(t)

Substituting,

                                    0 = 700 m/s
– (-9.8 m/s2)(t)

The
value of t is equal to 71.43 s.

 

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The equation of line MN is y=3/4x+5 In slope-intercept form, write the equation of the line that is perpendicular to MN and that passes through the point (–6, –2).

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Answer:

The probability that he chooses 2 oranges is:

                dfrac{5}{14}

Step-by-step explanation:

The odds of choosing a orange from a basket is:

                           dfrac{5}{3}

If  O denote orange

and T denote the total number of fruits

Then the odds of selecting an orange is given by:

 dfrac{O}{T-0}=dfrac{5}{3}

This means that:

The total number of fruits in basket i.e. T=8

so that the ratio matches.

Hence, the probability of getting orange in first draw= 5/8

Now , the second draw is independent of first and the fruits are not replaced.

This means now we have to choose fruits from remaining 7 fruits in the basket .

Probability of getting orange in second draw is: 4/7

Hence, the probability of choosing 2 oranges if the fruits are not replaced is:

  =dfrac{5}{8}times dfrac{4}{7}\\\=dfrac{5}{14}

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How to determine if its parallel or perpendicular?

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How to determine if its parallel or perpendicular?

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Magnetic field lines around a bar magnet a. are only perpendicular to the magnet. b. spread out from one pole and curve around to the other. c. cross back and forth over one another. d. are perfectly straight.

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Magnetic field lines around a bar magnet a. are only perpendicular to the magnet. b. spread out from one pole and curve around to the other. c. cross back and forth over one another. d. are perfectly straight.
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