What are the solutions to the system of equations? y=2x^2−8x+5 and y=x−2

(3.5 ; 1.5) and (1; -1)

Step-by-step explanation:

y=2x²−8x+5

y=x−2

x - 2 = 2x²−8x+5

2x² - 9x + 7 = 0

(2x - 7)(x - 1) = 0

x1 = 7/2, and x2 = 1

y = x-2

x1 = 7/2= 3.5 , y1 = 7/2 - 2 = 1.5,   (3.5 ; 1.5)

x2 = 1, y2 = 1 - 2 = -1                      (1 ; - 1)

Check:

1) y=2x²−8x+5,   (3.5 ; 1.5)

1.5 = 2*3.5² - 8*3.5 +5

1.5≡1.5

2) y=2x²−8x+5,  (1; -1)

-1 =2*1 - 8*1 + 5

- 1 ≡ -1

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your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.