Find the location of point q which is 1/2 of the way between points p and r. point p is at (-2,-7). point r is located at (6,10)

Point Q: (2, 3/2)

Step-by-step explanation:

this question is asking us to find the midpoint (point Q) of points P and R. the midpoint formula is: ,

Point P will be our x1 and y1, and point R will be our x2 and y2. so we plug it into the equation

,

x --> -2 + 6 = 4/2 = 2

y --> -7 +10 = 3/2 = 3/2

with these answers we have determined the location of point Q. point q is located at (2, 3/2)

18

step-by-step explanation:

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there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1