M(−6, 7) is the midpoint of df . the coordinates of point d are (−14, 13) .

what are the coordinates of point f?

Step-by-step explanation:

Step 1

Find the x-coordinate of point F

we know that

The formula to calculate the x-coordinate midpoint between the point D and the point F is equal to

substitute the values

Solve for Fx

Step 2

Find the y-coordinate of point F

we know that

The formula to calculate the y-coordinate midpoint between the point D and the point F is equal to

substitute the values

Solve for Fy

The coordinates of the point F are

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.