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dusya [7]
3 years ago
9

Which expression is equivalent to -3/4 (32+24e-4f)

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

-24 -18e +3f

Step-by-step explanation:

-3/4 (32+24e-4f)

Distribute the -3/4

-3/4 * 32 + -3/4 *24e + -3/4 *-4f

-24 -18e +3f

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Answer:

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x-4 y = -4    and </em>

<em>The equation of the parallel  line to the given equation is </em>

y = 1 + \frac{3 x}{4}

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

<em>The equation of the parallel line to the given equation is </em>

<em>3 x - 4 y = k </em>

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

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k = -4

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>Dividing '4' on both sides , we get</em>

<em></em>\frac{3 x-4 y}{-4} = 1<em></em>

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<em></em>y = 1 + \frac{3 x}{4}<em></em>

<u><em>Conclusion</em></u>:-

∴ <em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>and </em>

<em>The equation of the parallel  line to the given equation is </em>

y = 1 + \frac{3 x}{4}

<em>     </em>

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Analyze the diagram below and complete the instructions that
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Answer:

  D.  x = 15; y = 5√3

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You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

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If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

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