contestada

HELP!!! WILL MARK BRAINIEST!!

1) midpoint of R(4,1) and (-1,6)
2) find the coordinate of the midpoint of the segment with the given endpoints; -3 and 8
3) find the midpoint; (-9,3) and (-3,4)
4) find the coordinates of the other endpoint of the segment given its midpoint and one endpoint, apply the midpoint formula and solve the two equations for x and y; midpoint (-9,-7), endpoint (-1,-12)
5) find the coordinates of the other endpoint of the segment given its midpoint and one endpoint, apply the midpoint formula and solve the two equations for x and y; midpoint (-11,-10) endpoint (-14,-13)

Respuesta :

MathWeWe

Answer:

1)     ( [tex]-\frac{5}{2}[/tex], [tex]\frac{5}{2}[/tex])

2)    5

3)    ( 2, [tex]\frac{1}{2}[/tex])

4)    (17, 2)

5)    (8, 7)

Step-by-step explanation:

No. 1

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change In X is: -1 - 4 = -5

And the Change in Y is: 6 - 1 = 5

Once you divide both of the changes by 2, you get

X: [tex]-\frac{5}{2}[/tex]

Y:  [tex]\frac{5}{2}[/tex]

So the midpoint is: ( [tex]-\frac{5}{2}[/tex], [tex]\frac{5}{2}[/tex])

_________________________________________________________

No. 2

You can just find the middle of the two numbers. You could honestly just count it on your fingers if you wanted.

8 - 3 = 5

__________________________________________________________

No. 3

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change In X is: -3 - (-9) = 6

And the Change in Y is: 4 - 3 = 1

Once you divide both of the changes by 2, you get

X: 2

Y:  [tex]\frac{1}{2}[/tex]

 So the midpoint is: ( 2, [tex]\frac{1}{2}[/tex])

__________________________________________________________

No. 4

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change in X is: -1 - X

And the Change in Y is: -12 - Y

Once you divide both of the changes by 2, you get

X:  [tex]\frac{-1-X}{2} = -9[/tex]

    -1 - X = -18

    -X = -17

     X = 17

Y:  [tex]\frac{-12-Y}{2} = -7[/tex]

     -12 - Y = -14

     -Y = -2

      Y = 2

So the endpoint is: (17, 2)

__________________________________________________________

No. 5

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change in X is: -14 - X

And the Change in Y is: -13 - Y

Once you divide both of the changes by 2, you get

X:  [tex]\frac{-14-X}{2}=-11[/tex]

    -14 - X = -22

    -X = -8

     X = 8

Y:  [tex]\frac{-13-Y}{2} =-10[/tex]

     -13 - Y = -20

     -Y = -7

      Y = 7

So the endpoint is: (8, 7)

Otras preguntas