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3 years ago

A square has two sides on the lines x = 3 and y = 1. It has a vertex at (12,-8). What is the perimeter, in units, of the square?

1 answer:

3 0

The point (12,-8) has the x coordinate of x = 12
Going from x = 3 to x = 12 is a distance of 9 since 12-3 = 9

Therefore this square has a side length of 9 units
There are 4 of these congruent (same length) sides, so 4*9 = 36 is the perimeter

Answer: B) 36
Note: you can use the y coordinate if you want. The distance from y = 1 to y = -8 is also 9 units because 1-(-8) = 1+8 = 9

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Answer:

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Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

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$12=a(b)^1$

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For another point of the table $(2,36)$ ,

$36=a(b)^2$

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Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

$3a=12$

$a=4$

Therefore, exponential function will be,

$y=4(3)^x$

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Step-by-step explanation:

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