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Verizon [17]
3 years ago
12

Which expressions are factors of the expression -24xyz - 12xy + 20xyz

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

Answer:

xy

2xy

4

Step-by-step explanation:

A factor is a number of term you can factor out of each part of the expression/ or divide it by.

In -24xyz - 12xy + 20xyz

All three parts have xy, so it is a factor

All three don't have 12xz, because -12xy doesn't have z variable for instance.

All three have 2xy.

All three can't factor out 3y, because you can't divide 20 by 3 nicely.

All three can't factor out 4yz, because middle term -12xy doesn't have z.

All three can't factor out 12, because you can't nicely divide 20/12.

All three can factor out 4, because -24, -12, and 20 are all divisible by 4.

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
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Answer:  By the slope formula.

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Given: ABC is a triangle (shown below),

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By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

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Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


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