What are the coordinates of A' if it is reflected over the line x= -3?

Consider the line y = 7x-5.

cluponka [151]

Answer:

$\boxed {\sf Parallel: 7 }$

$\boxed {\sf Perpendicular: -\frac{1}{7}}}$

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

m=5

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

Negate the slope: 7⇒ -7
Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

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3 years ago

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A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus p

SashulF [63]

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

$V=w\times h\times l$

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

$V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3$

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

$n=8160\times2.5\\n=20400\rm\; btus$