Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
= -
= 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
Answer:
$637.50
Step-by-step explanation:
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
Answer:
36.7 degrees. A straight line is 180 degrees.
Step-by-step explanation:
If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².
We have the ratio:

Area of the smaler triangle = x
Area of the larger triangle = 567 cm²
Therefore we have the equation:

<h3>Answer: C. 63 cm²</h3>
Answer:
c
Step-by-step explanation: