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salantis [7]
3 years ago
6

What is the scale factor of the dilation? A. 2/5 B. 2/3 C. 3/2 D. 8/5

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
The dilation of one of the distances from the origin to one of the endpoints of each triangle was from 8 to 3.2, since we add the lengths. Therefore, the scale factor was 3.2/8 = 2/5
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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
Show that the equation of the line passes (3,5) and (3,-7). Is it possible to what an equation of the line in slope-intercept fo
vodomira [7]

Answer: you need a x and y axis to get this answer

Step-by-step explanation: first you put the (3,5) and (3,-7) in a graph paper then make an y and x axis and you will be able to see your answer visually

5 0
3 years ago
Read 2 more answers
You have a part-time job. You earn $7.75 per hour. If you work 20 hours
katovenus [111]

Answer:

F. $155

Step-by-step explanation:

For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.

$7.75 * 20 = $155

Thus, your weekly pay will be $155.

Cheers.

4 0
3 years ago
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The distance between bases on a baseball field is 27.43 meters.
Mkey [24]
27.43 * 4.5 = 123.435

Joe jogged 123.435 meters
8 0
3 years ago
What is the answer too 3-3*6 2=?
liq [111]
3-(3x62)=
3x62=186-3=183
7 0
3 years ago
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