Geom_CQA1_20-21 Question: 1-5
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point P that divides MN such that MP : PN is equal to 2: 1?
(-3.5, 2.5)
(-2,2)
(-1, 1)
(0,0)

The coordinates of the point P is (0,0)

Step-by-step explanation:

Here, we want to find the coordinates of point P which divides the segment MN in the ratio 2 to 1.

Mathematically, what we shall use here is the internal division formula;

The internal division formula is given as follows;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

From the question;

x1 = -4

x2 = 2

y1 = 4

y2 = -2

m = 2

n = 1

By substituting, we have;

(1(-4) + 2)2))/(1 + 2) , (1(4) + 2(-2))/(1+2)

= (-4 + 4)/3 , (4-4)/3

= (0,0)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,