Point a is located at (0, 4) and point b is located at (−2, −3). find the x value for the point that is 1 over 4 the distance from point a to point b.

  The answer is -0.5.

Step-by-step explanation:  The given points are A(0,4) and B(-2,-3). Let the co-ordinates of the new point P be (q,r), whose x value is 1/4 the distance from point A to point B. So, the ratio in which P divides AB will be m:n=1:3.

We have to calculate the x-coordinate of P using the internal division method of finding the coordinated of a dividing point.

Now, the x-coordinate of P is given by

Thus, the answer is -0.5.

answer: d. $20

step-by-step explanation:

just took the test

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1