A is at (-2, 1) and B is at (4, -1). P is a point on y-axis which is equidistant from A and B.
What are the coordinates of P?

The coordinates of P are (1,0)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).

Calculate the midpoint:

Thus, the coordinates of P are (1,0)

Note the midpoint does not lie on the y-axis but on the x-axis.

12.5 feet

step-by-step explanation:

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