Find the coordinates of P such that P divided the line segment from A(1, 3) to B(8, 4) into a 4:1 ratio.

a)

P(-4.6, 2.2)

b)

P(1.8, 8.6)

c)

P(6.6, 3.8)

d)

P(7, 1)

Step-by-step explanation:

Here's the basic rule for this:

If P with coordinates divides a line segment from A with coordinates to B with coordinates in the ratio a:b, then

and

Our fills in as follows:

which simplifies to

which further simplifies to

and

which gives us, finally, that

Our fills in as follows:

which simplifies to

which simplifies to

which gives us, finally, that

Choice C is the one you want!

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: