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:
For continuation probability:
Total students: 25
Students not get paper: 2
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
brainly.com/question/7437053
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Multiply 80 by 5/8ths.
80*5/8=50