Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of 
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Answer:
c
Step-by-step explanation:
Answer:
The area of the shape (trapezoid) is 55 square feet.
Step-by-step explanation:
The formula to get the area of a trapezoid is 
. b1 is one of the bases, b2 is the other and h is the height.
First, you need to find the average of the bases:
(15+7=22)/2=11
Then, you multiply that by the height.
11*5=55
Lastly, you add the units.
55 square feet is the answer
(y2-y1)/(x2-x1)
=(0-1.5)/(-2-0)
=0.5
Answer:
The rotation of the rectangle, of area 12 squared units, about y-axis produces a cylinder, with a volume of 48
cubic units.
Step-by-step explanation:
Rotation about x-axis or y-axis at an angle requires some general rules. When a 2D figure is rotated about a line a 3d figure would be produced. This can be done through a process called solid of revolution.
From the question, connecting the given coordinates produces a rectangle with a length of 4 units and width 3units.
Area of the rectangle = Length × width
= 4 × 3
= 12 square units
The required rule for rotation of a figure about y-axis is: (x, y) → (-y, x).
If the given rectangle is rotated about y-axis, a cylinder would be formed.
The volume of the cylinder = V = 
h
where: r = 4 units and h = 3 units.
V = × 
× 3
= 48 cubic units
Therefore, the rotation of the rectangle of area 12 squared units produces a cylinder with volume of 48 cubic units.
