Given points Q(2, 5) and R(7, 12). We are to determine the coordinate of point P that lies along the directed line segment which partitions the segment in the ratio of 3 to 2.

For internal division of a line segment, the coordinate of the point which partitions the segment in the ratio m:n is given as:

$\left(\dfrac{mx_2+nx_1}{m+n} , \dfrac{my_2+ny_1}{m+n}\right)$

m:n =3:2

$(x_1,y_1)=Q(2,5)\\(x_2,y_2)=R(7,12)$

Therefore:

$P(x,y)=\left(\dfrac{3*7+2*2}{3+2} , \dfrac{3*12+2*5}{3+2}\right)\\=\left(\dfrac{25}{5} , \dfrac{46}{5}\right)\\P(x,y)=(5,9.2)$

5 0

4 years ago

30=3(v–8) what is the value for v

Vilka [71]

V= 18

hope this helped!!!

8 0

3 years ago

Maggie is training for a bicycle trip across her home state. She recorded the approximate number of miles biked for ten days of

Inessa [10]

let

A(3,20) B(8,35)

step 1

find the slope AB

m=(y2-y1)/(x2-x1)-------> m=(35-20)/(8-3)------> m=15/5-----> m=3

step 2

with m=3 and the point A(3,20) find the equation of the line

y-y1=m*(x-x1)------> y-20=3*(x-3)----> y=3x-9+20------> y=3x+11

therefore

the answer is

the equation of the line of best fit for Maggie's data is

y=3x+11

5 0

3 years ago