Answer:
- <em>B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping</em>
Explanation:
The description may be better explained by applying it to an example.
Example:
- the general form of a trinomial is a x² - bx - 30
- comparing with x² - x - 30 the <em>bx term </em>is - x
- then you must <em>rewrite the bx term, - x,</em> into two terms whose coefficients are factors of 30:
Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.
Hence, the two terms are -6x and 5x, and the expression rewritten is:
x² - 6x + 5x - 30
- <em>factor these four terms using grouping</em>:
(x² - 6x) + (5x - 30)
x(x - 6) + 5(x - 6)
(x - 6) (x + 5)
Hence, the factored trinomial is (x - 6) (x + 5)
{y/y=-9,-3,0,5,7} the range are the y values of a function or relation
Brian-90×5+85=535
Christina-90×5+65=515
So after 5 weeks Brian will do 535 push ups and Christina will have done 515.
<h3>
Answer: Choice A) 1/3</h3>
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Work Shown:
x = preimage length = 12
y = image length = 4
z = scale factor
z = y/x
z = 4/12
z = (1*4)/(3*4)
z = 1/3
The scale factor is 1/3.
This means the image is 1/3 of the length of the preimage.
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>

<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:
m∠С = 38°42' = 38.7°
Answer: 38.7°
<span>I hope this helps</span>