Answer:
12 inches
Step-by-step explanation:
Let b represent the base
h represents the height
area of the parallelogram = base * height = 216 square inches
From the question'
b = 18 + 3h
Slot in the value of b
216 = (18 + 3h) * h
expand
216 = 18h + 3h^2
subtract 216 from both sides
0 = 18h + 3h^2 - 216
rearrange
3h^2 + 18h - 216 = 0
divide through by 3
h^2 + 6h - 72 = 0
Now, lets solve!
h^2 + 6h - 12h - 72 = 0
h( h + 6 ) - 12(h + 6) = 0
(h - 12) (h + 6) = 0
h - 12 = 0
h = 12
and
h + 6 = 0
h = - 6
Taking the positive value of h
Hence, the height is 12 inches
Lets check
when h = 12 inches
Area of the parallelogram = 18* 12 = 216 square inches .... correct
when h = -6inches
A = 18 * -6 ≠ 216 square inches
So height is 12 inches
Answer:
Look below for coordinates
Step-by-step explanation:
A: -2, 3 to A': -2, -3
B: 5, -2 to B': 5, 2
C: -5, 1 to C': -5, -1
Reflect over x-axis: (x, -y) and Reflect over y-axis: (-x, y)
The third choice is correct and can be found by plugging the values into Point-Slope Form.
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
7 = 7t
t = 1
Answer:
2160
Step-by-step explanation:
6X3=18 so 120X18=2160
