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ololo11 [35]
2 years ago
13

Find the perimeter of the parallelogram with these vertices.

Mathematics
1 answer:
blondinia [14]2 years ago
4 0

Check the picture below.

so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}

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Hello! The answer to your question would be as followed:

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Answer:

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Step-by-step explanation:

With the given information, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute values for the m, x_1, and y_1 to find the answer.

m represents the slope, so substitute -5 in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute 4 for x_1 and -6 for y_1. This gives the following equation:

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