Line segment ab has endpoints a(1, 2) and b(5, 3). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 3.

The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).

Step-by-step explanation:

Given:

Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)

point A( x₁ , y₁) ≡ ( 1 , 2)

point B( x₂ , y₂) ≡ (5 , 3)  

To Find:

point P( x , y) ≡ ?

Solution:

IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

Substituting the values we get

The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).

the 4th choice is the correct one

step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: