1. At Chesterfield Town Center, Alex is at the Barnes and Noble at coordinates (-10,9) and Jeff is at the Macy's which is at (4,-6). They decide to meet for lunch in the food court which is halfway between their locations. What are the coordinates of the food court?

(-1,-1)

Step-by-step explanation:

The easiest way I know how to explain it is you put the numbers on a line for instance

-6, -5,-4,-3,-2,-1,0,1,2,3,4

and the number in the very middle of the y then for x

-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9

and then again you use the midpoint for the x

because they are trying to meet each other half way you are trying to find the midpoint.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3