Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to
1 answer:
Answer:
(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.
(C)The GCF of the variables(a and ab) in each term in the expression is a.
(E)The factored form of the expression is 4a(7+9b)
Step-by-step explanation:
Given the expression:
If we write it as a product, we obtain:
We can see the following
- The GCF of the numbers(28 and 36) in each term in the expression is 4.
- The GCF of the variables(a and ab) in each term in the expression is a.
- The factored form of the expression is 4a(7+9b)
The correct options are B, C, and E.
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AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B. 
. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula: ![C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B%20x_%7B1%7D%20%2Bk%28run%29%2C%20y_%7B1%7D%20%2Bk%28rise%29%5D)
. Filling in accordingly, we have ![C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B-3%2B%20%5Cfrac%7B1%7D%7B8%7D%2812%29%2C9%2B%20%5Cfrac%7B1%7D%7B8%7D%28-4%29%5D%20%20)
which simplifies a bit to 
. Finding common denominators and doing the math gives us that the coordinates of point C are 
. There you go!