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

 C= (3,2) and D=(2.2, 2.8)

Step-by-step explanation:

The coordinates of point P(x,y) divides a line segment having end points M and N in m:n will be :-

Given : 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 will be :-

Simplify,

Thus , coordinate of C= (3,2)

If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

Simplify,

Thus , coordinate of D= (2.2,2.8)

d

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,