History: Jada wants Entrances C and D to be the same distance from the playground. How much longer is Path C than Path D? Round your answer to the nearest tenth. Show your work.

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Jada wants Entrances C and D to be the same distance

Ответ:

brooket30057

21.07.2021

History

28.3 unit

Explanation:

The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

$Distance=AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

The playground is at P(0, 0), point C is at (400, 300) an point D is at (250, -400). Hence:

$Path\ C=\sqrt{(300-0)^2+(400-0)^2} =500\ unit\\\\Path\ D=\sqrt{(-400-0)^2+(250-0)^2} =471.7\ unit$

Therefore the difference in length between path C and path D = 500 - 471.7 = 28.3 unit

Jada wants Entrances C and D to be the same distance from the playground.

How much longer is Path C

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Jada wants Entrances C and D to be the same distance from the playground. How much longer is Path C than Path D? Round your answer to the nearest tenth. Show your work.

Ответ:

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