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alexira [117]
4 years ago
10

Rectangle M was dilated to form rectangle M’. What ratio is the scale factor?

Mathematics
1 answer:
Gemiola [76]4 years ago
7 0

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

Ratio=\frac{6}{4}=\frac{2}{4/3}\\ \\\\

Ratio=\frac{3}{2}=\frac{6}{4} \\ \\ \ Ratio=\frac{3}{2}=\frac{3}{2}\\

Hence the required ratio is 3/2.

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Step-by-step explanation:

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Consider the line 2x-7y=-7. Find the equation of the line that is perpendicular to this line and passes through the point (-8,-6
monitta

Step-by-step explanation:

2x - 7y = -7

2x + 7 = 7y

y = (2/7)x + 1

the slope of the line is the factor of x : 2/7

FYI that is the ratio y/x and means, when x changes by 7 points to the plus (right) side, then y changes 2 points to the plus (up) side.

the parallel line will have the same slope, of course. just a different y-axis-interception point. that means, the "+" term at the end changes. changes to what ?

well, we use the given point coordinates

-6 = (2/7)×-8 + c

-6 = -16/7 + c

-42/7 = -16/7 + c

-26/7 = c

so, the equation of the parallel line is

y = (2/7)x - 26/7

y = (2/7)×(x - 13)

the perpendicular line is a line that intercepts our original line with a 90 degree angle.

that means its slope will switch x and y of the original line slope and also flips the sign (from + to - or vice versa).

=> the slope of the perpendicular line is -7/2.

the line equation looks like

y = (-7/2)x + c

and again, we use the given point coordinates to find the missing c (y-intercept).

-6 = (-7/2)×-8 + c

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so, the full equation of the perpendicular line is

y = (-7/2)x - 34

6 0
3 years ago
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Figure 1: find the surface area: [(3 x 2 1/4) x 2] for the top and bottom. [(4 1/2 x 2 1/4)x 2] for the left and right squares. [(3 x 4 1/2) x 2] for the front and back. Which should be 20 1/4 + 27 + 13 1/2 = 60 3/4 m. The area is 4 1/2 x 3 x 2 1/4 = 30 3/4 m.

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3 years ago
Find the area of a trapezoid, in which b1=13cm, b2=16cm, and h=3cm.
Fed [463]

Answer:

b 43.5 cm^2

Step-by-step explanation:

The area of a trapezoid is found by using the formula

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases

A = 1/2(13 +16) *3

A = 1/2 (29)*3

A = 43.5 cm^2

4 0
4 years ago
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