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Alexus [3.1K]
3 years ago
11

Factor by grouping. a2 + ab – 56b2

Mathematics
2 answers:
Alinara [238K]3 years ago
8 0
A^2 + ab - 56b^2

Factor by grouping is typically done when you have 4 terms not 3.
This is a trinomial that is factorable as is.
If it has to be done by grouping I can do that also. Let me know.

What are the factors of -56 that add up to 1?
8 * (-7) = -56
8 + (-7) = 1

(a + 8b)(a - 7b)
goblinko [34]3 years ago
7 0

a^2 + ab -56b^2
= a^2 +8ab -7ab -56b^2
= a (a+8b) -7b ( a+ 8b)
= (a-7b)(a+8b).
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Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.
Galina-37 [17]

Answer:

AD \parallel BC

AB \parallel CD

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0

The slope of side BC is

M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1

The slope of side CD is

M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0

The slope of AD is

M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1

AD \parallel BC

AB \parallel CD

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0
3 years ago
Solve for (y)(x)<br> x-y=1<br> 1/2x+y=5
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Using addition

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Using the value of x
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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