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Veseljchak [2.6K]
3 years ago
13

If (-3, y) lies on the graph of y = , then y =

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

The value of y is 64.

Step-by-step explanation:

The given equation is

y=(\frac{1}{4})^x

It is given that (-3, y) lies on the graph of y. It means the equation of the function must be satisfy by the point (-3,y).

Substitute x=-3 in the given equation to find the value of y,

y=(\frac{1}{4})^{-3}

y=4^{3}                      (\frac{a}{b})^{-n}=(\frac{b}{a})^n

y=64

Therefore the value of y is 64.

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The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro
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Answer:

7.8 in

Step-by-step explanation:

Given:-

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What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

                    Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

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- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

                   |RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

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