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leva [86]
3 years ago
10

The area of a square is 144 square centimeters. Find the length of the diagonal. Write your answer in simplest radical form.

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

12\sqrt{2}\ cm

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side

we have

A=144\ cm^2

substitute in the formula of area

144=b^{2}

solve for b

square root both sides

b=12\ cm

step 2

Find the length of the diagonal

Applying the Pythagorean Theorem

d^2=b^2+b^2

see the attached figure to better understand the problem

substitute the given values

d^2=12^2+12^2

d^2=288

square root both sides

d=\sqrt{288}\ cm

simplify

d=12\sqrt{2}\ cm

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Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

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Then:

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Here we can see that the graph is below the x-axis in those intervals, then here we have:

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Here the answer is positive:

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Reflect quadrilateral CJKM across the y-axis. Find the location of K'.
Montano1993 [528]

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Explanation

Step 1

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Step 2

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

so

(x,y)\rightarrow reflect\text{ across y -Ax is}\rightarrow(-x,y)

therefore

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so, the answer is

K^{\prime}(-1,4)

i hope this helps you

4 0
1 year ago
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