Find the length and the midpoint of the segment joining the two given points.
k(23, 4) and w(-2, 16)

a. 30; (0, 0)
b. 27; (10.5, 10)
c. 15; (4, 9)
d. 45; (-8, 9)

By the Pythagorean Theorem...

L^2=(x2-x1)^2+(y2-y1)^2

L^2=(-2-23)^2+(16-4)^2

L^2=25^2+12^2

L^2=625+144

L^2=769

L=√769 units

L≈27.73 units (to nearest hundredth of a unit)

Who are the idiots who make up these multiple choices?  I guess that 27 is closest from your choices, but whomever made the choices didn't even round in the correct direction.  (No wonder why the education system is so horrible.)

The midpoint is just the average of the coordinates of the endpoints...

mp=((x1+x2)/2, (y1+y2)/2)

mp=(23-2)/2, (4+16)/2)

mp=(21/2, 20/2)

mp=(10.5, 10)  at least they got that part right... :)

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