The midpoint of the segment joining points (a, b) and (j, k) is a. ( j - a, k - b)
b. (j- a/2, k-b/2)
c. (j+a, k+b)
d. ( j+a/2, k+b/2)

(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)

So,

a=

2

10+k

and b=

2

−6+4

=−1

It is given that,

a−2b=18

Put b=−1

a−2(−1)=18

a=18−2=16

Now,

a=

2

10+k

16=

2

10+k

k+10=32

k=22

Step-by-step explanation:

it is good

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you