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3 years ago

The area of the parallelogram shown below has an area of 72 units2

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

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Ratling [72]

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Choice B

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3 years ago

The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.

Greeley [361]

Answer: $y=(-8)2^x$

Step-by-step explanation:

The exponential function will have this form:

$y=ab^x$

We know that the function passes through the points $(2,-32)$ and $(3,-64)$ . Then, we can substitute the coordinates of the point $(2,-32)$ into $y=ab^x$ and solve for "a":

$-32=ab^2\\\\a=\frac{-32}{b^2}$

Then, we know that:

$y=(\frac{-32}{b^2})b^x$

Now, we neeed to substitute the coordinates of the second point $(3,-64)$ into $y=(\frac{-32}{b^2})b^x$ and solve for "b":

$-64=(\frac{-32}{b^2})b^3\\\\-64=-32b\\\\\frac{-64}{-32}=b\\\\b=2$

Substituting the value of "b" into $a=\frac{-32}{b^2}$ we can find "a":

$a\frac{-32}{2^2}\\\\a=-8$

Therefore, we get that the exponential function that describes the graph, is:

$y=(-8)2^x$

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3 years ago

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Step-by-step explanation:

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2 years ago