Answer:
x² - 100
Step-by-step explanation:
Use the FOIL method. The FOIL method is the way in which you multiply the terms:
FOIL stands for First, Outside, Inside, Last. Multiply:
First:
x * x = x²
Outside:
x * 10 = 10x
Inside:
-10 * x = -10x
Last:
-10 * 10 = -100
Combine like terms:
x² + 10x - 10x - 100
x² + (10x - 10x) - 100
x² - 100
x² - 100 is your answer.
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Answer:
b=204
Step-by-step explanation:
The law of sine states that: 
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 
°.
Using these two things, we can come up with the equality 
, which we can use to solve for side b.
, so we know that 
.
Next, we would multiply both sides by b to get 
.
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)
Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
Answer:
0.04
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
when cut you can see that the cutout will be a square
the base is a square and the cut is parallel to the base
therefore the cutout will be a square
