Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
Answer:
$12
Step-by-step explanation:
If you're taking off 25% of the regular cost, "taking off" means subtracting. So if we subtract 25% OF 16, the word "of" means to multiply here. So our expression then becomes:
16 - .25(16)
16 - 4 = 12
So the CD will sell for $12.
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer: a unit rate is a rate with 1
Step-by-step explanation:
Answer:
-1.5f - 17
Step-by-step explanation:
-2.3f + 0.8f - 12 - 5
= -1.5f - 17