The midpoint of a segment is (−2,−3) and one endpoint is (3,0) . find the coordinates of the other endpoint.
a. (8, 3)
b. (-7, 3)
c. (8, -6)
d. (-7, -6)

The midpoint can be defined using formula,

So by knowing and we can calculate

First we must derive two equations,

and

Then just put in the data,

So the other endpoint has coordinates therefore the answer is D.

Hope this helps.

r3t40

To work out the mid point of two points you, add the x coordinates and divide by 2, and you take the y coordinates and divide by two:

So:

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So the x-coords of the midpoint is:

and

y -coords of midpoint is:

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However, in this question we are trying to work out one of the endpoints.

First let's say that the coordinates of the missing endpoint is:

(x , y)

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That means that the x-coords of the midpoint of (x, y) and the other endpoint (3, 0) is :

However, we already know the x-coord of the midpoint ( it's -2). So we can form an equation to workout x:

               (multiply both sides by 2)

                     (subtract 3 from both sides)

This is the x-coord of the other endpoint

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Let's do the same for the y coordinates:

We know y coords for the midpoint of (x, y) and (3, 0) is:

But we also know the ycoord is -3. So we can form an equation and solve for y:

  (multiply both sides by 2)

               (simplify)

This is the y-coord of the other endpoint

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Now we just put these coords together to get the coordinate of the other endpoint:

Endpoint is at:

(x, y)                           (substitute in values that we worked out)

=  (-7, -6)

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D. (-7, -6)

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Note:

If there is anything you don't quite understand or was unclear

- please don't hesitate to ask below in the comments.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value