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:
The slope is 2/1.
Step-by-step explanation:
y2 - y1 /x2 - x1
6 - 4/ 2 - 1
2/1
Answer:
Step-by-step explanation:
= 
We need a common denominator before we can add.
+ 
means the same thing as
- =
Answer:
s =2
Step-by-step explanation:
__3s__ = __6__
3 3
s = 2
The answer would be the first one, combining 8 and -2
This is because the 2 like terms are 8x^2 and -2x^2. You can get this by looking in the problem. There are 2 terms with x^2 which means we have to combine them. One of them is 8x^2 (the 1st one) and the other is -2x^2 (since it says 7-2x^2)
If you combine these you will get 6x^2 [8+(-2)=6]
