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just olya [345]
3 years ago
5

Telephone pole breaks and falls as shown. To the nearest foot, what was the

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

The missing measurement is : \sqrt{7^{2} +10^{2} } = ~ 12

=> Original height should be : 7+12 =19

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It is 6 kilometers from Linda's house to the nearest mailbox. How far is it in meters?
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Answer:

6000 meters

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Each kilometer is 1000 meters so 1000 x 6 is 6000

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Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
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Number 16 what is the answer
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1 / Under root 2 = 7 under root 2 / AB
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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

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2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

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\frac{30}{10}=a

3=a

So a=3 and b=5.

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3 years ago
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