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dem82 [27]
2 years ago
9

The figure will be dilated by a scale factor of 1.2. Find the new length. W: 25 in L: 40 in​

Mathematics
1 answer:
Ghella [55]2 years ago
3 0

The new length and width is 48in and 40in respectively

<h3>Dilation</h3>

Given the following information

  • Width = 25in
  • Length = 40in

If the length and the width are dilated by a factor of 1.2, the new length and width is expressed as;

W = 25(1.2) = 30in

L = 40(1.2)

L = 48 in

Hence the new length and width is 48in and 40in respectively

Learn more on dilation here: brainly.com/question/10253650

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What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21
docker41 [41]

The linear equation that is perpendicular to the line x+3y=21 is:

y = 3*x - 6

<h3>How to find the equation of the line?</h3>

A general line in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the two slopes is equal to -1.

Rewriting the given line we can get:

x +3y = 21

3y = 21 - x

y = 21/3 - x/3

y = (-1/3)*x + 21/3

Then the slope is (-1/3), if our line is perpendicular to this one, then:

m*(-1/3) = -1

m = 3

our line is:

y = 3*x + b

To find the value of b, we use the fact that our line passes through (1, - 3)

-3 = 3*1 + b

-3 - 3 = b

-6 = b

The line is y = 3*x - 6

Learn more about linear equations:

brainly.com/question/1884491

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3 0
1 year ago
The percent of increase or decrease i. this irem
Nikolay [14]
Since the price is going down, it's going to be a percent decrease. Now to find the percent, we divide the "after" price by the "before" price.

240 / 320 = 0.75 = 75%

The item had a 75% decrease. 
3 0
3 years ago
Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)
Monica [59]

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

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2 years ago
Solve The Geometry Question In The Image
kondaur [170]

use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²

we need AD and DC

so
AD²+7.9²=9.4²
AD=√25.95

DC²+7.9²=23.2²
DC=√475.83

so
AD+DC=base=(√25.95)+(√475.83)≈26.9076

AC≈26.91 units
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3 years ago
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