Find the coordinates of point b that lies along the directed line segment from a(-5, 2) to c(11, 0) and partitions the segment in the ratio of 5: 3.
a. (3, 1)
b. (5,3/4)
c. (10, 5)
d. (6, 2)

ANSWER

The correct answer is B.

EXPLANATION

If the point B(x,y) partitions

and

in the ratio m:n then, then we have

and

We want to find the coordinates of the point B(x,y) that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment in the ratio of 5:3.

This implies that:

Therefore the coordinates of B are

i think the answer is fried chicken ; >

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.