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katrin [286]
3 years ago
5

Consider the line y=−7x+5 . find the equation of the line that is parallel to this line and passes through the point , −8 5 . fi

nd the equation of the line that is perpendicular to this line and passes through the point , −8 5 .
Mathematics
1 answer:
pantera1 [17]3 years ago
3 0
Parallel lines have equal slope do slope of 2nd line is -7 also. using point slope we get y-5=-7(x+8). solve for to get. slope intercept y=*-7x-51

perpendicular lines have slopes that are negative reciprocals do slope of this line is 1/7. using the above processes we get y,-5=1/7(x+8) or y=1/7x +43/7
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Which choice provides the best evidence for the
ella [17]

The choice which provides the best evidence to the previous question is Lines 6-68 ("He didn't ... him"). The correct option is B.

Given a passage that is shown below in the attached images.

Option B is the best answer. The previous question asked why Harouni bought a new motorcycle from his employee Nawab, with the correct answer (that Harouni did it for his own benefit) demonstrated in lines 66- 68: "He doesn't particularly care one way or the other, except that it touches his comfort - a question he's very interested in.

Options other than B are A, C, and D are incorrect because the lines cited do not support the answer to the previous question about why Harouni buys Nawab a new motorcycle. Instead, they simply identify the issue (option A), note that Harouni also gave Nawab money for gas (option C), and show how the motorcycle affects Nawab’s side businesses (option D).

Hence, the choice  which provides the best evidence for the answer to the previous question from the given passage is Lines 66-68 ("He didn’t . . . him").

Learn more about the passage from here brainly.com/question/12555695

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4 0
2 years ago
The area of a rectangular ceiling tile is 756 square inches. The perimeter is 114 inches. What are the dimensions of the tile?
kogti [31]

Here we need to use what we know about rectangles to make a system of equations.

By solving that system we found that the tile has a length of 36 inches and a width of 21 inches.

Remember that for a rectangle of length L and width W, the perimeter is:

P = 2*(L + W)

And the area is:

A = W*L

Here we know that the perimeter is 114 inches, then we can write:

114in = 2*(L + W)

We also know that the area is 756 in^2, then we can write:

756 in^2 = L*W

So we found two equations, which means that we have a system of two equations with two variables:

114in = 2*(L + W)

756 in^2 = L*W

To solve this, the first step is to isolate one of the variables in one of the equations, we can isolate L in the first equation:

114in = 2*(L + W)

114in/2 = (L + W)

57in = L + W

57in - W = L

Now that we have an expression equivalent to L, we can replace it in the other equation to get:

756 in^2 = L*W

756 in^2 = (57in - W)*W

Now we can solve this for W.

756 in^2 = W*57in - W^2

W^2 - W*57in + 756 in^2 = 0

The solutions are given by the Bhaskara's formula:

W = \frac{57in \pm \sqrt{(-57in)^2 - 4*1*(756in^2)} }{2*1} = \frac{57in \pm 15in}{2}

Then the two possible values of the width will be:

W = (57in + 15in)/2 =  36 in

W = (57in - 15in)/2 = 21 in

Suppose that we choose the second solution, W = 21in

Now using the equation 57in - W = L we can find the value of L

L = 57in - W = 57in - 21in = 36in

L = 36in

Then we found that the tile has a length of 36 inches and a width of 21 inches.

If you want to learn more, you can read:

brainly.com/question/11137975

4 0
3 years ago
Complete the square in the quadratic equation in order to write the equation in vertex form.y = x^2 - 6x - 8
Vesna [10]
Sent a picture of the solution.

4 0
3 years ago
Find the value of the expression 3+4r+n3 n=1 and r=2
mr_godi [17]

Answer:

14

Step-by-step explanation:

I'll show you how I did it.

3+4r+n3=?

3+(4*r)+(n*3)=?

3+8+3=?

11+3=14

7 0
3 years ago
Find the perimeter of the shape shown below.
motikmotik

Answer:

22 cubes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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