Point q is on mn such that mq: qn 2: 3. if m has coordinates (3,5) and n has coordinates (8, -5), the coordinates of q are

a) (5,1)
b) (5,0)
c) (6,-1)
d) (6,0)

Option A. (5, 1)

Step-by-step explanation:

Let the coordinates of the point Q be (X, Y).

Coordinates of M and N are (3, 5) and (8, -5).

Point Q divides the line segment MN in two parts MQ : QN :: 2 : 3

Or ratio of MQ and QN is 2 : 3

Now we know the formula

X = x +

and Y = y +

here a and b is the ration in which line MN is divided.

For x coordinates

X = 3 +

X = 3 +

X = 3 + 2 = 5

Now for y coordinates

Y = 5 +

Y = 5 +

Y = 5 - 4

Y = 1

Therefore, coordinates of Q are Option A. (5, 1).

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.

step-by-step explanation: