Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
4/5 x = 64
multiply both sides by 5/4
5/4 *4/5 x = 5/4 * 64
x = 80
The whole pie is 1, because 1 is 100%. Tom ate 2/3 of 1 and Sam ate 1/4 of the pie.
So, here's how to determine how much is left:
1 - (2/3 + 1/4) = 1 - (8/12 + 3/12) = 1 - 11/12 = 12/12 - 11/12 = 1/12
The correct answer is that 1/2 of the pie is left.
Answer:
40 and 28
Step-by-step explanation:
We have two unknown numbers, so let's call them x and y for now.
We know the sum of the two numbers is 68, and the difference is 12, so let's substitute those two numbers for x and y:
x+y=68
and
x-y=12
Because both of these systems are true, we can take both these equations and combine them, by adding each side of one equation with the corresponding side of the other.
So we have:
(x+y)+(x-y)=(68)+(12)
2x=80
x=40
Now we know one of the numbers, x, is equal to 40, so now we can plug that number back into one of the two original equations, x+y=68 or x-y=12. I'll choose x-y=12.
After plugging in x, we get:
40-y=12
-y=-28
y=28
So now we have figured out x and y, which are 40 and 28.
Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x
