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Mathematics

1 answer:

enot [183]2 years ago

4 0

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

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Graph the function y=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-2-5" id="TexFormula1" title="\sqrt{x} -2-5" alt="\sqrt{

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Answer:

(3, -4)

Step-by-step explanation:

The correct equation is:

$y=\sqrt{x-2}-5$

From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:

For point (1, 4)

$y=\sqrt{1-2}-5=\sqrt{-1}-5$ , This is not equal to 4, so it does not lie on the graph of given function.

For point (3, -4)

$y=\sqrt{3-2}-5=\sqrt{1}-5=-4$ , The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.