Answer:
(17 , -18)
Step-by-step explanation:
5 = (-7 + x) / 2
x = 17
-8 = (2 + y) / 2
y = -18
Answer: 0.47
Step-by-step explanation:
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = Bh
A = (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6.
The coefficient of y^2 is 2 and the constant term is 6.
The product of 2 and 6 is 12.
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer: 5 (2 y - 3) (y - 2)
