Answer:
8) x = 12
9) x = 12
Step-by-step explanation:
Use geometric mean of legs

x=12
10)
Use geometric mean of legs

x=12
Answer:
Step-by-step explanation:
if angles are complementary, that means they add up to 90º
if one is 65.3, then the other is just 90 - 65.3
<S = 90º - <R
<S = 90º - 65.3º
<S = 24.7º
Answer:
a = 4, p = 2, q = - 1
Step-by-step explanation:
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
Answer:
A.
Step-by-step explanation:
55x is the number of hours
then the initial 150 needs to equal less that $450
Well if the equation is -16t^2 + vt + h0,
and we know v = 30, because that's the velocity,
and we also know h0 = 6 because that's the height,
then the equation will read: -16t^2 + 30t + 6