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Ksivusya [100]
3 years ago
7

Determine the slope of a line that is perpendicular to the line y = -2x + 7

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

Answer:

C)

Step-by-step explanation:

Perpendicular means negative reciprocal of the current slope.

And the negative reciprocal of -2 is 1/2.

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B(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{( 5- 2)^2 + ( -1- 1)^2} \\\\\\ BC=\sqrt{3^2+(-2)^2}\implies BC=\sqrt{9+4}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) ~\hfill CA=\sqrt{( -2- 5)^2 + ( -3- (-1))^2} \\\\\\ CA=\sqrt{(-7)^2+(-3+1)^2}\implies CA=\sqrt{49+(-2)^2}\implies \boxed{CA=\sqrt{53}}

\stackrel{\textit{\large perimeter of ABC}}{4\sqrt{2}+\sqrt{13}+\sqrt{53}~~\approx~~ 16.54}

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Step-by-step explanation:

<u>The line x = 3 is parallel to y- axis, the perpendicular line is going to be parallel to x- axis and will have an equation:</u>

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<u>Since it passes through the point (-2, 5), it will have a = 5:</u>

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Answer:

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