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3 years ago

The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

Mathematics

2 answers:

Ilya [14]3 years ago

8 0

The answer is 1/2. The purple shape is half the size of the black shape.

AnnZ [28]3 years ago

4 0

Answer:

Scale factor = $\frac{1}{2}$

Explanation:

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so:

Scale Factor = $\frac{purple}{black}$

Scale factor = $\frac{10}{20} = \frac{1}{2}$

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What’s the area of this face ?

zloy xaker [14]

Answer:

Step-by-step explanation:

Remark.

I take it we are only concerned with the deep lime face that we can see closest to us.

Construction

Draw one line that goes from the right of the left foot up to the 18 foot line

Draw another line that goes from the left of the right foot up to the 18 foot line.

label the width of the right foot as 18 - 6 - 6 = 6

Solution

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Area = L * w

L = 12 feet

w = 6 feet

Area = 12*6 = 72

Left foot (same area) 72

Area above the door.

Height = 12 - 6 = 6

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Area = 6 * 6 = 36

Answer: Total Area = 72 + 72 + 36 = 180

3 0

2 years ago

Consider the given function of an arithmetic sequence.<br><br> f(n) = -5n + 8

Goshia [24]

Answer:

f(9) = -37

Step-by-step explanation:

f(n) = -5n + 8

f(9) = -5(9) + 8

f(9) = -45 + 8

f(9) = -37

8 0

2 years ago

Help on college algebra, question is on the picture!

kodGreya [7K]

$\frac{7x+1}{x-2} + \frac{2}{x} = \frac{-4}{ x^{2} -2x}$ is given
here , $\frac{7x+1}{x-2} + \frac{2}{x} = \frac{-4}{ x^{2} -2x}$
or, $\frac{7x^{2} +x +2x-4 }{x(x-2)} = \frac{-4}{ x^{2} -2x}$
or, $\frac{7 x^{2} +3x-4}{ x^{2} -2x} = \frac{-4}{ x^{2} -2x}$
or,7x²+3x-4=-4
or,7x²+3x=0
or,x(7x+3)=0
Either,x=0| Or,7x+3=0
|or,7x=-3
|or,x= $\frac{-3}{7}$
So , the solution set is S={0,- $\frac{3}{7}$ }