Find the coordinates of T given that M is the Midpoint segme

Find the coordinates of T given that M is the Midpoint segment ST. S(10, -5) and M(-6, 11) write the parabolic equation in vertex form by completing the square: 4y^2 - 4y - 3 = x Write the equation for a circle in standard form: 5 = y^2 + x^2 - 20x + 4y Prove or disprove that the following points are the vertices of a right triangle. A(3, 2), B(5, 1), C(6, 8)

Solution

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We know that coordinates of midpoint M (h,k) of line ST. (x1,y1) and (x1,y1) are given as

H = (x1 +x2)/2

K = (y1 + y1)/2

Given x1 = 10 , y1 = -5

H = -6 , k = 11

Therefore using formula above

X2 = 2h - x1 = -12-10 = -22

Y1 = 2k - y1 = 22 +5 ,= 27

Coordinates of t are -22,27

Solution

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