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Schach [20]
3 years ago
15

If 3x−y=12, what is the value of 8x/2y?

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

17.2

Step-by-step explanation:

3x=12+y

x=12+y/3

8(  \frac{12 + y}{3}) \div 2y

\frac{96 + 8y}{3} \times  \frac{1}{2y}

\frac{96 + 8y}{6y}

(y is divided by y so it no longer exists)

\frac{96 + 8}{6}

\frac{104}{6}

17.2

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
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Answer:

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Step-by-step explanation:

Given

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F\ C = 5.6

Required

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i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

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B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

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To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

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Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

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Step-by-step explanation:

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