Given the line segment ab with endpoints a(-9,2) and b(12,9), what are the coordinates of point c that is partitioned one-third from a to b?

(-2, )

Step-by-step explanation:

⇒ First, evaluate the x-coordinate of C:

The x-distance from A to B is 12 - (-9) = 21.   of 21 is 7

The x-coordinate of A (-9) plus one-third the distance to B (7) = -2

⇒ Next, evaluate the y-coordinate of C:

The y-distance from A to B is 9 - 2 = 7.   of 7 is

The y-coordinate of A (2) plus one-third the distance to B () =

3 ft

step-by-step explanation:

since the triangle is right use pythagoras' identity to solve for a

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

a² + 8² = ( )²

a² + 64 = 73 ( subtract 64 from both sides )

a² = 9 ( take the square root of both sides )

a = = 3

b

step-by-step explanation: