Mathematics: If A(2, 2) and B(14, 10) find the point that will divide AB into a ratio of 3:1 starting from point A.

9 out of 14 is around 64%. Find 64% of 1,500Should get 960The best estimate for the # of students coming is 960 students....

If A(2, 2) and B(14, 10) find the point that will - id22141011185655, rileyeddins1010

cvhufjbvbcxx2406

16.03.2021

Point (11,8) divides into a ratio of 3:1 .

Step-by-step explanation:

Given: Points are $A(2,2)\,,\,B(14,10)$

To find: point that will divide into a ratio of 3:1 starting from point .

Solution:

If the point (x,y) divides the line joining points A(u,v) and B(p,q) in ratio m:n then

$(x,y)=(\frac{mp+nu}{m+n},\frac{mq+nv}{m+n} )$

Put $(u,v)=(2,2)\,,\,(p,q)=(14,10)\,,\,m:n=3:1$

Therefore,

$(x,y)=(\frac{3(14)+1(2)}{3+1} ,\frac{3(10)+1(2)}{3+1} )=(\frac{42+2}{4},\frac{30+2}{4})=(\frac{44}{4},\frac{32}{4})=(11,8)$

Therefore,

point (11,8) divides into a ratio of 3:1 .

0,0(0 оценок)