ck90
Answered

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.

Verified Answer :

to find the midpoint if you have the points
(x,y) and (z,t) and you wnat to finnd the midpoint you do
midpoint=(\(\frac{x+z}{2} , \frac{y+t}{2}\))
so

1. (4,7) and (-3,11)
midpoint=(\(\frac{4-3}{2} , \frac{7+11}{2}\) )=(1/2,9)
 


2. (-8,3) ad (-6,-3)
midpoint=(\(\frac{-8-6}{2} , \frac{3+11}{2}\))=(-7,7)




3. (-8,5) and (-3,-5)
(-3,-5)=(\(\frac{-8+x}{2} , \frac{5+y}{2}\))
so
-3=\(\frac{-8+x}{2}\)
-6=-8+x
2=x


-5=\(\frac{5+y}{2}\)
-10=5+y
-15=y
B=(2,-15)


4. (9,-2) and (5,7)
(5,7)=(\(\frac{9+x}{2} , \frac{-2+y}{2}\))

5=\(\frac{9+x}{2}\)
10=9+x
1=x

7=\(\frac{-2+y}{2}\)
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)