Answer:
It is not equivalent.
Step-by-step explanation:
You have to expand the brackets :
(x-4)(x+3)
= x(x) + x(3) - 4(x) - 4(3)
= x² + 3x - 4x - 12
= x² - x - 12
Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.
56.44*12=$677.28
so he pays $677.28 a year for cable.
Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = cubic units. (Answer)
The first is 2 the second one is -4
Answer:
Length:
11
Width:5
Step-by-step explanation:
Let's say x is the width, then length is 3x-4
Area of a rectangle is Length times width
so x(3x-4)=55
then we solve
3x^2-4x-55=0
(3x+11)(x-5)=0
x cannot be negative so x=5
then if the width is 5, length is 3*5-4=11