Answer:
x^2 +10x + 21
Step-by-step explanation:
You know the distributive property tells you ...
a(b +c) = ab +ac
Here, you can let
and you get ...
a ( b + c ) = a·b + a·c
(x +3)(x +7) = (x +3)·x +(x +3)·7
Now, you can use the distributive property on each of those products:
= x·x +3·x +x·7 +3·7
= x^2 +10x + 21
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<em>Alternate solution</em>
This is perhaps more commonly done by separating the terms of the first factor first:
(x +3)(x +7) = x(x +7) +3(x +7)
Then the next round looks like ...
x^2 +7x +3x +21
In order, left to right, these terms are the products of First terms, Outer terms, Inner terms, and Last terms. The acronym FOIL is often used to help students remember these pairs of products.
The acronym FOIL is only useful when multiplying a pair of binomials.
For anything else, the distributive property is relatively easy to remember and apply. Each term in each factor is multiplied by the remaining factors. The process is repeated until there are no parentheses left. Then like terms can be collected.
Answer:
-13c-4
Step-by-step explanation:
Answer:
I think it is question 2, B
Answer:
135 degrees
Step-by-step explanation:
Coterminal means it ends at the same spot around the circle.
To calculate the resulting angle we need to reduce/increase the started value to arrive to a value between 0 and 359 degrees.
If the starting angle is greater or equal to 360, we subtract 360 until we get below 360.
If the starting angle is below 0, we add 360 until we get equal or greater than 0.
So, starting with 495, we subtract 360 a first time....
A = 495 - 360 = 135
We're already in the desired range (0-359)... so we have our answer.
