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Answer:
(x - 8)² + (y - 4)² = 9
Step-by-step explanation:
(x - 8)² + (y - 4)² = 3²
(x - 8)² + (y - 4)² = 9
Couldn’t quite read everything, the writing is very light. But from what I could read, it was correct for the most part. :)
Answer:
1 i(sqrt5)
2 7i
3 -9i
4 -64i
5 -5i(sqrt2)
6 -4i(sqrt3)
7 10i(sqrt3)
8 2i(sqrt2)
9 3i(sqrt7)
10 -30i(sqrt2)
Step-by-step explanation:
i is the square root of (-1). We can simplify each one as such.
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
