Categories

## Read the poem below and answer the question that follows. “Blazon” by Cecilia Woloch —after Breton My love with his hair of nightingales With his chest of pigeon flutter, of gray doves preening themselves at dawn With his shoulders of tender balconies half in shadow, half in sun My love with his long-boned thighs the map of Paris of my tongue With his ink-stained tongue, his tongue the tip of a steeple plunged into milky sky My love with his wishing teeth With his fingers of nervous whispering, his fingers of a boy whose toys were cheap and broken easily My love with his silent thumbs With his eyes of a window smudged of a train that passes in the night With his nape of an empty rain coat hung by the collar, sweetly bowed My love with his laughter of an empty stairwell, rain all afternoon With his mouth the deepest flower to which I have ever put my mouth Source: Woloch, Cecilia. “Blazon.” Blogalicious. Diane Lockward, 17 Jan. 2010. Web. 17 May 2011. How does this poem represent a modern version of the blazon? A. The poet selects less expected features and comparisons. B. The poet uses the conventions of the blazon structure. C. The poet uses parody and omission to emphasize her love. D. The poet uses rhyme and iambic pentameter to exaggerate the subject’s beauty.

The poem represent a modern version of the Blazon by Cecilia Woloch with The poet uses rhyme and iambic pentameter to exaggerate the subject’s beauty. The answer is letter D. The story shows how Cecilia loved his husband by implicitly describing how and what she felt with comparisons of nature and things.

Categories

## Write the equation of a line, in general form, that passes through points (-1, 2) and (5, 2).

Write the equation of a line, in general form, that passes through points (-1, 2) and (5, 2).

Categories

## Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? y + 2 =(x + 3) y – 2 = (x – 3) y + 3 = (x + 2) y – 3 = (x – 2)

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? y + 2 =(x + 3) y – 2 = (x – 3) y + 3 = (x + 2) y – 3 = (x – 2)

Categories

## Charles washes his hands every time he passes either the bathroom or the kitchen sink. Before he goes to bed at night, he checks several times to make sure that the stove is turned off. According to this information, Charles is probably suffering from A. OCD. B. GAD. C. dissociative fugue. D. acute stress disorder.

In reality this is way too little information to go on, and it would be irresponsible to make any assumptions about an individual based on what was provided here alone, but for the sake of merely answering a High School Bio question:

Categories

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

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

Categories

## Write the equation of the line that passes through (1,5) and (-2,14) in slope intercept form

Write the equation of the line that passes through (1,5) and (-2,14) in slope intercept form

Categories

## Which polynomial function has x intercepts –1, 0, and 2 and passes through the point (1, –6)? f(x) = x3 – x2 – 2x f(x) = 3×3 – 3×2 – 6x f(x) = x3 + x2 – 2x f(x) = 3×3 + 3×2 – 6x

Which polynomial function has x intercepts –1, 0, and 2 and passes through the point (1, –6)? f(x) = x3 – x2 – 2x f(x) = 3×3 – 3×2 – 6x f(x) = x3 + x2 – 2x f(x) = 3×3 + 3×2 – 6x

Categories

## What is an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5) A. y=3x-7 B. y=3x+7 C. y=3x+17 D. y=3x-17

What is an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5) A. y=3x-7 B. y=3x+7 C. y=3x+17 D. y=3x-17

Categories

## The line CD passes through point (0,2) and (4,6).which equation represents line CD?

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

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

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

d = 10.

Therefore,

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.

Categories

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

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.

Categories

## Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

Categories

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

Step-by-step explanation:

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

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 :-

Since , the parallel have the same slope  .

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

Categories

## Write an equation of a line that passes through the point (0,-15) and is parallel to 5x-4y=12

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.

Categories

## Which of the following describes the graph of a linear function? It is V shaped and passes through the origin. Its y-values increase at a constant rate as its x-value increases. It is a straight line in one portion and a curve in another portion. Its y-values increase at a nonconstant rate as its x-value increases.

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.

Categories

## What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)? x = –5 x = 4 y = –5 y = 4

Step-by-step explanation:

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

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 :-

Since , the parallel have the same slope  .

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

Categories

## 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 + ____

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 + ____

Categories

## Line F passes through the points(7,13)and(9,-3).what is the slope of a line parallel to line F. A.-8 B.-1/8 C.1/8 D8

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.

Categories

## A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police offi cer, the offi cer starts to accelerate at 2.00 m/s2 to overtake her. Assuming that the offi cer maintains this acceleration, (a) determine the time interval required for the police offi cer to reach the motorist. Find (b) the speed and (c) the total displacement of the offi cer as he overtakes the motorist.

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

Categories

## If a congressional leader passes a bill favorable to a particular pharmaceutical firm, then resigns to take a consultant position with the same firm, this may be an example of

If a congressional leader passes a bill favorable to a particular pharmaceutical firm, then resigns to take a consultant position with the same firm, this may be an example of

Categories

## Determine the slope of the line that passes through points (0,4) and (1,2).

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.

Categories

## What is the slope intercept form of the equation of a line that passes through (5,-4) and has a slope of 3/4

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.

Categories

## Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m? Show all of your work for full credit.

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

Categories

## What is the equation in standard form of a parallel line that passes through (0,-3)

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.

Categories

## A change in a sequence of DNA bases in a bacterial cell has resulted in a mutation. This mutation has increased the ability of the bacteria to break down and digest organic molecules in the environment. Bacteria with this mutation are better able to find and utilize food sources. According to the theory of natural selection, what is MOST likely to occur in future generations of this bacteria? A) The relative frequency of the mutation will increase as time passes. B) Because the mutation has changed the DNA of the bacteria, a new species will be formed. C) Because the mutation is abnormal, the mutation will become more rare with every passing generation. D) Bacteria with the mutation will increase in number until the food supply is exhausted, causing the bacteria to become extinct.

The correct answer would be B. CO, which comes from fossil fuel–powered engines, such as cars.

As the name suggests the primary pollutant is defined as the pollutant emitted directly from the source. For example, carbon monoxide which is produced due to incomplete combustion is emitted directly from cars, buses et cetera.

In contrast, secondary pollutant refers to the pollutant which is formed after reacting with other pollutants in the atmosphere. For example, nitrogen dioxide which is formed when NO reacts with oxygen, acid rain which is formed when nitrogen dioxide and sulfur dioxide reacts with water present in atmosphere et cetera.