Question

What is the midpoint of the following coordinates:

1.A=(4,7) and B=(-3,11) M=

2.A=(-8,3) and B=(-6,-3) M=

For questions three and four we know A and the midpoint but need to find B or A for question 4.

3.A=(-8,5) and M=(-3,-5) B=

4.M=(5,7) and B=(9,-2) A=

Thanks

Please answer as soon as possible.

32 points available.

Answer 1

to find the midpoint if you have the points
(x,y) and (z,t) and you wnat to finnd the midpoint you do
midpoint=(
`(x+z)/(2) , (y+t)/(2)`)
so

1. (4,7) and (-3,11)
midpoint=(
`(4-3)/(2) , (7+11)/(2)` )=(1/2,9)



2. (-8,3) ad (-6,-3)
midpoint=(
`(-8-6)/(2) , (3+11)/(2)`)=(-7,7)




3. (-8,5) and (-3,-5)
(-3,-5)=(
`(-8+x)/(2) , (5+y)/(2)`)
so
-3=
`(-8+x)/(2)`
-6=-8+x
2=x


-5=
`(5+y)/(2)`
-10=5+y
-15=y
B=(2,-15)


4. (9,-2) and (5,7)
(5,7)=(
`(9+x)/(2) , (-2+y)/(2)`)

5=
`(9+x)/(2)`
10=9+x
1=x

7=
`(-2+y)/(2)`
14=-2+y
16=y

A=(1,16)





1. M=(1/2,9)
2. M=(-7,7)
3.B=(2,-15)
4. A=(1,16)