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3 years ago

Write your answer in simplest radical form

Mathematics

1 answer:

pogonyaev3 years ago

8 0

Answer:

a = sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp / hyp

sin 30 = a / 2 sqrt(2)

2 sqrt(2) sin 30= a

2 sqrt(2) * 1/2 =a

sqrt(2) =a

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klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

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Let these points

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

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Slope-Intercept

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

Substitute the value of m in the equation.

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

Substitute any coordinate points that are given or part of the graph in the equation.

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

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

Solve the equation for b-term.

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

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

<h3>Answer</h3>

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

If you have any questions related to the answer, feel free to ask via comment.

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Write your answer in simplest radical form​

Write your answer in simplest radical form