Answer:
b
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
x = 4.
Step-by-step explanation:
These are exterior alternate angles which are congruent.
So 21x + 6 = 90
21x = 84
x = 4.
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
Answer:
g = 81.
Step-by-step explanation:
f = k/√g where k is a constant
When f = 12 g = 36, so:
12 = k/√36 = k/6
k = 12*6 = 72.
So the relation is:
f = 72/√g
When f = 8:
8 = 72/√g
8√g = 72
√g = 72/8 = 9
g = 9^2 = 81.
