Answer:
(12/5)√5
Step-by-step explanation:
y = 2x - 2
x² + y² = 8
x² + (2x - 2)² = 8
x² + 4x² - 8x + 4 = 8
5x² - 8x - 4 = 0
(5x + 2)(x - 2) = 0
x = -2/5
x = 2
y = 4 - 2
y = 2
(2,2)
y = 2(-2/5) - 2
y = -4/5 - 2
y = -14/5
(-2/5,-14/5)
√((2 + 2/5)² + (2 + 14/5)²)
√((12/5)²+ (24/5)²)
√(144/25 + 576/25)
(1/5)√(144+576)
(1/5)√720
(1/5)√(16*45)
(4/5)√45
(12/5)√5
