tonio638
24.07.2020 •
Mathematics
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. The endpoints of AB are A(1,4) and B(6,-1). If point C divides AB in the ratio 2 : 3, the coordinates of point C are (_,_). If point D divides AC in the ratio 3 : 2, the coordinates of point D are (_,_). help plz!
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Ответ:
- The coordinates of C is (3,2)
- The coordinates of D is (11/5,14/5)
Step-by-step explanation:
Given
A(1,4) and B(6,-1)
Required
a. Point C divide AB in ratio 2:3
b. Point D divide AC in ratio 3:2
When endpoints are divided into ratios, the formula to calculate the coordinates is;
Solving for (a): Point C divide AB in ratio 2:3
The ratio;
For Point A;
For Point B;
Substitute m,n,x1,x2,y1,y2 in the ratio formula given above;
The coordinates of C is (3,2)
Solving for (b): Point D divide AC in ratio 3:2
Using the same steps as (a) above;
The ratio;
For Point A;
For Point C;
Substitute m,n,x1,x2,y1,y2 in the folowing ratio formula;
The coordinates of D is (11/5,14/5)
Ответ:
it's A
Step-by-step explanation:
sorry if its wrong