For each problem, find the missing value using the Pythagorean Theorem

b = √2

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

a = Leg₁

b = Leg₂

c = Hypotenuse

Step 1: Plug in variables

3² + b² = (√11)²

Step 2: Solve

9 + b² = 11

b² = 2

b = √2

And we have our answer!

x

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18