PLEASE HELP ASAP

y = √(3² + 3²)

9 = √(5² + x²)

Step-by-step explanation:

Diagram 1:

Hypotenuse = y

Opposite = 3

Adjacent = 3

y² = 3² + 3²

y = √(3² + 3²)

y = √(9 + 9)

y = √18

Diagram 2:

Hypotenuse ² = known leg² + unknown leg²

Hypotenuse = 9

Known leg = 5

Unknown leg = x

9² = 5² + x²

9 = √(5² + x²)

9² = 5² + x²

9² - 5² = x²

x² = 81 - 25

x = √ 56

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step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.