What is the length of the hypotenuse of the triangle when x=8?

17 units.

Step-by-step explanation:

Let`s name the unknown quantity as

x

so according to the Pythagorean formula...

x 2 = ( 15 ) 2 + ( 8 ) 2

x 2 = 225 + 64

which is

x 2 = 289

doing the square root on both the sides,

x = √ 289

x = 17 units

hence the length of the hypotenuse is 17 units.

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~9.27

Step-by-step explanation:

6*8+6=54

4*8=32

54+32=86

The square root of 86 is ~9.27

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .