Well, the way I see it is that both Mr. Romano, and Ms. Guerra are correct but Professor McCoy is incorrect because he said (x+2) when it should be (x-2).
The factor theorem states that:
If f(a)=0, then (x-a) is a factor
The remainder theorem states that:
If (x-a) is a factor of f(x), then f(x) / (x-a) = 0
So if 2 is indeed a zero of f(x), then a factor must be (x-2) according to the fist which supports Ms. Guerra and also if (x-2) is indeed a factor as Ms. Guerra says then we know that f(x) / (x-a) = 0 which supports Mr. Romano
Professor McCoy is wrong because he used (x + 2) when it should be (x-2). I know this because according to the factor theorem if f(a)=0, then (x-a) is a factor. And the remainder theorem says if (x-a) is a factor of f(x), then f(x)/x-a =0.
Volume = Length x Width x Height
Volume = 8 x 5 x 2 = 80 in³
Answer: 80 in³
Answer:
see explanation
Step-by-step explanation:
The width w is 4 feet longer than two times the length , then
w = 2l + 4
The area (A) of the rectangle is length × width , then
A = l(2l + 4) ← distribute parenthesis
A = 2l² + 4l
Given A = 16
2l² + 4l = 16
Subtract 16 from both sides
2l² + 4l - 16 = 0 ( divide through by 2 )
l² + 2l - 8 = 0 ← in standard form
(l + 4)(l - 2) = 0 ← in factored form
Equate each factor to zero and solve for l
l + 4 = 0 ⇒ l = - 4
l - 2 = 0 ⇒ l = 2
However l > 0 then l = 2
and w = 2l + 4 = 2(2) + 4 = 4 + 4 = 8
The length of the rectangle is 2 feet and
the width is 8 feet
Answer:
a = 1 1/15
Step-by-step explanation:
1/4 a = 4/15
Multiply each side by 4 to isolate a
4 * 1/4a = 4 * 4/15
a = 16/15
a = 1 1/15
Answer:
Ellipse C
Circle E
Sphere B
Great Circle D
Triangle A
Step-by-step explanation:
Cross sections are slices through a 3d figure to create a 2d shape. A cone creates a circle and triangle. A sphere creates a great circle. A cylinder creates an ellipse. Rotating a semi circle around an axis creates a sphere.
