Answer:
<h2>
k = 3</h2>
Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
Answer:
5/2
Step-by-step explanation:
Answer:
- A: 1/3, 2700
- B: 2/9, 1800
- C: 4/9, 3600
Step-by-step explanation:
The total number of ratio units is 3+2+4 = 9, so the fractions each school got were ...
A : B : C = 3/9 : 2/9 : 4/9
These fractions multiply the total amount raised:
A got 1/3 = 2700, B got 2/9 = 1800, C got 4/9 = 3600
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft
Area of a regular octagon = 2 * a² * (1 + √2)
a = side length
A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²
