For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2.

15^2+ b^2=25^2

225+b^2= 625

b^2=400

b= 20 or x=20

x = 20

Step-by-step explanation:

This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve.  The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

Subtract 225 from both sides to get b^2 alone.

b^2 = 625 - 225

b^2 = 400

Find the square root of both sides.

b = 20 or x =  20

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answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are