<h3>
Answer: (x+1)(x+3)</h3>
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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:
Step-by-step explanation:
To start of u have to subtract 150 with 180 which is 180 (cuz its a straight line and E to get angle S
Now that we know that 180-150= 30
We add S and R then subtract by 180
so 80+ 30= 110
then we said subtract 180
180-110= 70
Now we know that angle Q is 7-
Then the bottom is RS & SE (NOT REALLY SURE)
It is a Remote Interior Angle
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there are 0.125 cups inside 1 fluid ounces
144 / 0.125 = 1152 (divide because you are trying to figure out how many of the volumes of the mold can fit inside the 144 fluid ounces
You can fill 1152 molds with 144 fluid ounces
Answer:
The approximate volume is 
Step-by-step explanation:
we know that
The exact volume of the cylinder is
so
To find the approximate volume of the cylinder, substitute the term 
by the approximate value of 
and then multiply
so
Answer:
4. A
5. B
Step-by-step explanation:
4. I'll solve question four first:
The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.
5--3/2--2 or 8/4;simplified to 2/1 or 2.
Now use point-slope form: y-y1 = m(x-x1)
y--3 = 2(x--2): Substitute in the values of y1, m, and x1.
y+3 = 2x + 4: Distribute.
y = 2x + 1: Subtract three from both sides.
5. Do the same for question 5.
The first point is (-4, 2), the second point is (4, -1).
-1-2/4--4; -3/8.
Now use point-slope form:
y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.
y = -3/8x + 1/2
