Answer:
2.22 rotations
Step-by-step explanation:
First, have to multiply the diameter by Pi. 5 * π = 15.7
15.7 is the circumference because the formula for circumference is d * π = c (diameter=d, circumference=c)
Next, 35/15.7 is 2.22.
You divide the 35 by 15.7 because if 15.7 inches is one rotation, then you want to see how many rotations fit into 35.
Since the x-intercepts are already given, we can figure out the equation of a line quite easily.
it would be:
(x-4)(x+4)=y
if you want it not in factored form, just distribute the terms. you will get:
x^2-16=y
both are the same thing, just in different forms.
hope this helped!! xx
9514 1404 393
Answer:
-26, -25
Step-by-step explanation:
The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.
Hence, one is -26 and one is -25.
We are asked to determine the opening of the graph of the given equation y² + 16y - 4x + 4= 0. To answer this problem, we need to transform the equation into the standard form where all variable y and variable x are in opposite side such as shown below:
y² + 16y - 4x + 4 = 0
y² + 16y = 4x - 4
y² + 16y + 64 = 4x - 4 +64
(y + 8)² = 4x + 60
Then, the graph opens to the right.
Answer:
6.3
Step-by-step explanation:
Arc length is circumference
C = 2 * pi *r
We are finding a fraction of the total arc length
A circle is 360 degrees
45 degrees / 360 degrees = 1/8
Find the total arc length and multiply by the fraction of the circle
arc length = 2 * pi * r * 1/8
= 2 * 3.14 * 8 * 1/8
=6.28
Rounding to the nearest tenth
6.3
