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2 years ago

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9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3

) C. (4,0) D. (2, 3)

1 answer:

ludmilkaskok [199]2 years ago

7 0

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

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

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).

B. Distance = sqrt((-3)² + (3)²) = sqrt(18).

C. Distance = sqrt((4)² + 0²) = sqrt(16).

D. Distance = sqrt((2)² + 3²) = sqrt(13).

Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

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Answer:

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To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

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It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

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