Answer:
Talia needs to factor -1 out of one of the two binomials
Step-by-step explanation:
She could take:
3x(5x - 1) + 4(-5x + 1)
and rewrite it as:
3x(5x - 1) - 4(5x - 1)
= (3x - 4)(5x - 1)
Depends on what you're trying to study
Step-by-step explanation:
The integral was obtained using cylindrical shells. The volume of each shell is:
dV = 2π r h t
where r is the radius, h is the height, and t is the thickness.
The thickness is either dx or dy. Looking at the integral, we can tell it is dy. So the solid is revolved about the x-axis (or a line parallel to the x-axis).
The radius will be y. So the height must be x = 9/(9+y²).
So the solid is obtained by rotating the region 0 ≤ x ≤ 9/(9+y²), 0 ≤ y ≤ 3 about the x-axis.
Answer:
( 7 , 4 )
Step-by-step explanation:
Answer:
The width is 5 inches
Step-by-step explanation:
In order to find the width, start by labeling the width as x. Since we know the length is 8 inches longer, we can express the length as x + 8. Now we can plug these two into the perimeter formula and solve for x to get the width.
2l + 2w = P
2(x + 8) + 2x = P
2x + 16 + 2x = P
4x + 16 = P
4x + 16 = 36
4x = 20
x = 5
