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Contact [7]
3 years ago
5

Express tan M as a fraction in simplest terms. Help please

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

tan M = \frac{24}{7}

Step-by-step explanation:

To obtain tan M we require to find KL

Using Pythagoras' identity in the right triangle.

KL² + LM² = KM²

KL² + 7² = 25²

KL² + 49 = 625  ( subtract 49 from both sides )

KL² = 576 ( take square root of both sides )

KL = \sqrt{576} = 24

Then

tan M = \frac{opposite}{adjacent} = \frac{KL}{LM} = \frac{24}{7}

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Answer: Choice A

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Explanation:

The general template for standard form is Ax+By = C, where A,B,C are integers.

This immediately rules out choices C and D, since they don't fit the format mentioned.

To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.

For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...

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So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.

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If we tried (2,4) with choice B, then,

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

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so that means +c=-7

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