Mathematics: Slope of (5, 10) and (1, 6)

Slope of (5, 10) and (1, 6) - id5101615272868, jhernandez70

emmilicious

09.02.2022

Hope this helps :D

Your welcome

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UnnKoown

09.02.2022

Step-by-step explanation:

The equation for slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given coordinate pairs into the equation:

$Slope=\frac{6-10}{1-5}=\frac{-4}{-4}=1$

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saucyboyFredo

06.02.2022

DE=6.38 units

Step-by-step explanation:

The triangle described in the problem is shown in the image below.

The opposite side of the angle of 50° is 7.6 units and we need to find the adjacent side of 50°.

The trigonometric ratio that relates both legs of a right triangle is the tangent. Its formula is as follows:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan\ 50^\circ=\frac{7.6}{DE}$

Solving for DE:

$\displaystyle DE=\frac{7.6}{\tan\ 50^\circ}$

Operating and computing the tangent with a scientific calculator:

DE=6.38 units

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