Question

. Given PQ and point ???? that lies on PQ such that point ???? lies 7 / 9 of the length of PQ from point P along PQ:

Answer 1

Answer:

Point R is closer to Q.

Step-by-step explanation:

Correct Question Statement:

Given PQ and point R that lies on PQ such that point ???? lies 7 / 9 of the length of PQ from point P along PQ:

a. Sketch the situation described.

b. Is point R closer to P or closer to R, and how do you know?

c. Use the given information to determine the following ratios:

i. PR: PQ

ii. RQ: PQ

iii. PR: RQ

iv. RQ: PR

d. If the coordinates of point P are (0, 0) and the coordinates of point R are (14, 21), what are the coordinates

of point Q.

ANSWER

a. PQ is the line as shown below:

P_______R__Q

Point R lies at 7/9 means if PQ is divided in 9 parts then R lies at 7th place.

b. point R is closer to Q as shown above.

c. Ratios:

i. PR:PQ = 7:9.

ii. RQ:PQ = 2:9

iii. PR:RQ = 7:2.

iv. RQ:PR = 2:7.

d. Suppose coordinates of Q are (x,y)

7/9 of x is 14 → (7/9)*x = 14 → x = $\frac{14*9}{7}$ = 18

7/9 of y is 21 → (7/9)*y =21 → y =$\frac{21*9}{7}$ =27

Thus, Q(18,27) are required coordinates.