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3 years ago

Please give an accurate answer and show work.

Mathematics

1 answer:

Stells [14]3 years ago

6 0

Answer:

3.06

Step-by-step explanation:

$\log_{5}(\dfrac{2}{3}x-2)+2=0\\\\\log_{5}(\dfrac{2}{3}x-2)=-2\\\\$

This means that 5 to the power of -2 is $(\dfrac{2}{3}x-2)$ , meaning that:

$\dfrac{2}{3}x-2=5^{-2}=\dfrac{1}{25} \\\\\dfrac{2}{3}x=\dfrac{51}{25} \\\\2x=\dfrac{153}{25} \\\\x=\dfrac{153}{50}=3.06$

Hope this helps!

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Step-by-step explanation:

Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.

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3 years ago

Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

Gennadij [26K]

Answer:

Points J and K could be located at:

J(2,2)

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Step-by-step explanation:

Consider the vertices have a x and y coordinate:

A: x coordinate=-7 y coordinate=-2

B: x coordinate=1 y coordinate=-2

C: x coordinate=1 y coordinate=-8

D: x coordinate=-7 y coordinate=-8

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H: x coordinate=6 y coordinate=5

Then it is possible to calculate the distance between the x and y coordinates:

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The distance between A and C is 6

Then we know that the side AB of Rectangle ABCD measures 8 and the side AC, measures 6.

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x coordinate of Vertices GH:

x coordinate of H- x coordinate of G=6-(2)=4

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Answer:

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