Answer:
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 ).
Answer:
x = 20°
Step-by-step explanation:
Given
3x + 80° + 2x = 180° [ being linear pair ]
5x + 80° = 180°
5x = 180° - 80°
5x = 100°
x = 100° / 5
Therefore x = 20°
Hope it will help. :)
Answer:
<em>Why does thou post a question.....</em>
<em>Only to answer it later?</em>
Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).