(4x+5)(4x-5) is equal to 16x^2+20x-20x-25
The positive and negative 20x cancel out
Leaving you with: 16x^2 - 25
[S/N this is a pattern that shows up a decent amount. Whenever you have something that looks like (x^2-y^2) it factors out to (x+y)(x-y). It might be helpful to remember]
The next one, (4x+5)2, just follows the distributive property. Multiply both components within the parentheses bye the coefficient of 2: 8x+10
The correct question is
<span>A cylinder has a volume of 320 pi in</span>³<span>. and a height of 5". Find the radius of the cylinder</span>
we know that
[volume of a cylinder]=pi*r²*h----> r²=volume/(pi*h)
r=√[volume/(pi*h)]
volume=320*pi in³
h=5 in
so
r=√[320*pi/(pi*5)]--------> r=8 in
the answer is
8 in
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
Answer:
Garrett gets 36 problems right.
Step-by-step explanation:
Given that,
Total number of MCQs = 60
Correct answers = 60%
We need to find how many problems did Garrett get right. It can be calculated by finding 60% of 60 such that,
So, Garrett gets 36 problems right.
