A line passes through the slope(-18,16) and (-7,-6 ). what is the slope of the line

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

5 0

Answer:

-2

Step-by-step explanation:

slope = difference of y/difference of x

slope = (-6 - 16) / (-7 - -18) = -22/11 = -2

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Find the kissing lengths of the sides of the triangle.

alina1380 [7]

Answer: The last option.

Step-by-step explanation:

The triangle shown in the figure attached is a right triangle.

1. You can calculate the lenght a as following:

$sin\alpha=\frac{opposite}{hypotenuse}$

$opposite=a\\hypotenuse=6in\\\alpha=30\°$

Substitute values and solve for a. Then, you obtain:

$sin(30\°)=\frac{a}{6in}\\a=6in*sin(30\°)\\a=3in$

2. You can calculate the lenght b as following:

$cos\alpha=\frac{adjacent}{hypotenuse}$

$adjacent=b\\hypotenuse=6in\\\alpha=30\°$

Substitute values and solve for b. Then, you obtain:

$cos(30\°)=\frac{b}{6in}\\b=6in*cos(30\°)$

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3 years ago

Which function has the same y intercept as the function y = 2/3x - 3 ?

AnnyKZ [126]

$\bf y=\cfrac{2}{3}x\stackrel{\stackrel{b}{\downarrow }}{-3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf 6x-7y=21\implies -7y=-6x+21\implies y=\cfrac{-6x+21}{-7}\implies y=\cfrac{6x-21}{7} \\\\\\ \stackrel{\textit{distributing the denominator}}{y=\cfrac{6x}{7}-\cfrac{21}{7}}\implies y=\cfrac{6}{7}x\stackrel{\stackrel{b}{\downarrow }}{-3}$