<h3>
Answer: (x+1)(x+3)</h3>
===================================================
Explanation:
Let's assume it factors into (x+a)(x+b)
The goal is to find the two numbers a and b.
FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab
Note how a+b is the middle term and ab is the last term.
In the original expression, 4 is the middle term and 3 is the last term.
So we need to find two numbers that
There are two ways to multiply to 3 and they are
- 1 times 3 = 3
- -1 times -3 = -3
But only the first way has the factors add to 4. So that means a = 1 and b = 3.
Therefore (x+a)(x+b) = (x+1)(x+3)
And x^2+4x+3 = (x+1)(x+3)
Answer: B
The rotation will go back to the place where the trapezoid started
Answer: 22 1/2
Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2
The divide that by 5 (mult by reciprocal)
Reciprocal is the # flipped so,
9/2 x 1/5
= 45/2
divide 45 by 2
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder
Area of the base of the cylinder =

Area of the cylinder 'wall' = width × length =

×

=

×

=

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by

where

is the slanted height of the cone
SA of cone =

Hence total painted surface area is
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle