Answer:
The answer to your question is: h = 14.5 in
Step-by-step explanation:
Data
radius = 5 in
Volume = 725 π in³
height = ?
Formula
Volume = 2πr²h
Substitution
725 π in³ = 2πr² h
h = 725π / 2πr²
h = 725 / 2(5)²
h = 725 / 50
h = 14.5 in
The distributive property: a(b + c) = ab + ac
(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)
= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6
<h3>= 4x² - 10x - 6</h3>
Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
Answer:
Step-by-step explanation:
Method
Inversely in this sentence means
y = k/x
So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5
2 = k/5 Multiply both sides by 5
2*5 = 5*k/5
10 = k
Now you are able to answer the question.
y = 10/x
3= 10/x Multiply both sides by x
3*x = x * 10/x
3x = 10 Divide both sides by 3
3x/3 = 10/3
x = 3.33 or x = 3 1/3
Answer
x = 3.33 or x = 3 1/3
Answer:
636.17251
Step-by-step explanation:
V = πr^2h = π·4.5^2·10 ≈ 636.17251