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Alex Ar [27]
2 years ago
8

23) Find the length of the median of each trapezoid. A) 7.4 C) 5.6 B) 5.8 D) 6.1

Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:  5.8 (choice B)

=================================================

Explanation:

To find the length of the median, we add up the parallel sides and divide by 2. In other words, we're averaging the parallel sides to get the length of the midsegment shown.

FE = (WX + VY)/2

FE = (4.5 + 7.1)/2

FE = 11.6/2

FE = 5.8

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Step-by-step explanation:

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3 years ago
Factor 81z^4 - 16<br> Please answer asap
Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

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2 years ago
10. (04.01)
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Answer:

A] A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
V = ℓwh for ℓ. please help soon
erma4kov [3.2K]
Isolate the variable by dividing each side by factors that don't contain the variable.
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4 0
2 years ago
G(x) = -3/2x-9, if G(x) = -48, find x
Svetlanka [38]

Answer:

x=26

Step-by-step explanation:

first rewrite the problem since u know that G(x)=-48

-48=-3/2x-9

second you want to add the 9 to -48 which gives u -39

-39=-3/2x

third you want to times the reciprocal so it would be

-2/3 times -39/1

u can cross out the negatives and turn them into a positive

fourth you can cross cancel 3 and 39 which now the problem looks like this

2/1 times 13/1

which you would times 2 and 13 which your answer would be

26

6 0
3 years ago
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