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enyata [817]
3 years ago
14

In ΔKLM, the measure of ∠M=90°, LK = 89, ML = 80, and KM = 39. What ratio represents the tangent of ∠K?

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0
I am just trying to get point not right answer 89 ml = 80 km = 39
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Write the equation of the line passing through the points (-4,-1) and (2,8)
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<h3><u>Explanation</u><u>:</u></h3>
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m =  \frac{y_2 - y_1}{x_2 - x_1}

Let these points

\begin{cases}(x_1, y_1) = ( - 4,  - 1) \\ (x_2, y_2) = ( 2,  8) \end{cases}

m =  \frac{8 - ( - 1)}{2 - ( - 4)}  \\ m =  \frac{8 + 1}{2 + 4}  \Longrightarrow \frac{9}{6}  \Longrightarrow \frac{3}{2}  \\ m =  \frac{3}{2}

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y = mx + b \\ m = slope \\ b = y - intercept

Substitute the value of m in the equation.

y =  \frac{3}{2} x + b

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(x_, y) = ( - 4,  - 1)

- 1 =  \frac{3}{2} ( - 4) + b

  • Solve the equation for b-term.

- 1 =  \frac{3}{ \cancel{2}} ( \cancel{ - 4})   + b\\  - 1 = 3( - 2) + b \\  - 1 =  - 6 + b \\  - 1 + 6 = b \\ 5 = b

  • Rewrite the equation by substituting the value of b in the equation.

y =  \frac{3}{2} x + 5

<h3><u>Answer</u></h3>

\large \boxed{y =  \frac{3}{2} x + 5}

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200/160 as a percentage (200 over 160)
dem82 [27]

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asambeis [7]

Answer:

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<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

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