Answer:
( 10 , 15 )
Explanation:
If two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] form a line segment AB and is divided in the ratio of m:n by a point O(x, y). The coordinates of point O is calculated as follows:
[tex]x=\frac{n}{n+m}(x_2-x_1) +x_1\\\\y=\frac{n}{n+m}(y_2-y_1) +y_1[/tex]
Given Segment ST from S(−5 , 0 ) to T(20, 25 ) divided in a 3:2 ratio by point M. Let us assume the coordinates of M is at (x, y), then:
[tex]x=\frac{3}{3+2}(20-(-5)) +(-5)\\\\x=\frac{3}{5}(25)-5=15-5\\\\x=10 \\\\y=\frac{3}{3+2}(25-0)+0\\\\y=\frac{3}{5} (25)\\\\y=15[/tex]
The coordinate of M is at (10, 15)
Answer:Find the distance between the given points: (-7, 5) and (-8, 4)
Find the distance between the given points: (-7, 5) and (-8, 4)
Explanation:
Find the distance between the given points: (-7, 5) and (-8, 4)
