Circle P has a diameter with endpoints at (-4, 3) and (1,6). Find the center of the circle.

(-3/2, 9/2)

Step-by-step explanation:

Midpoint formula (x1 + x2)/2, (y1 + y2)/2 would be your best way to go. Because you have been given the diameter of the circle with end points, you can just find the middle of those 2 points to find your center. Remember the diameter goes through the center of the circle and is not a chord, so:

(-4 + 1)/2 for x

(3 + 6)/2 for y

Simplify and put into coordinates, you get:

(-1.5, 4.5)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl