Area = πr² = π(8)² = 201.06 in²
Answer: 201.06 in²
Answer:
<em>36%</em>
Step-by-step explanation:
"8 kg of mixed nuts containing 26% peanuts"
weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg
"5 kg ... that contain 52% peanuts"
weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg
Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg
Total weight of mixed nuts: 8 kg + 5 kg
percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%
17.
The point-slope form:
We have slope=m=8, and the point (-5, -3). Substitute:
18.
The formula of a slope:
We have the points (3, 4) and (15, 10). Substitute:
The point-slope form:
or
Answer:
Step-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
<u>f(x) = 1/3(x +5)^2 +7</u>
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
<u>f(x) = -5(x -3)^2</u>
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Answer:
P = (13h+k+6m) cm
Step-by-step explanation:
Given that,
The side lengths of a triangle are :
(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm
We need to find the perimeter of the triangle.
We know that,
Perimeter = sum of all sides
So,
P = (4h + 2k)+(9h + 4m)+(2m - k)
= (4h+9h)+(2k-k)+(4m+2m)
= 13h+k+6m
Hence, the perimeter of the triangle is (13h+k+6m) cm.
