Write the numerical expression using exponents.

Mathematics

1 answer:

andrew11 [14]3 years ago

7 0

1. 2^3/3^2

2. (-5)^2/7^3

3. -2^2/(-6)^3

4. -3^2/(-5)^2

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Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

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$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

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Add.

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Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

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