Question

The distance between two points is 234 (square rooted) One of the points is 6,4 Which could be the other point? Possible answers

A.(15,9) because (square rooted) 15* 2 + 9* 2 = (square rooted) 234
B. none of the answers are correct
C. (9,-1) because (square rooted) (9 + 6)*2 + (-1 + 4)*2= (square rooted) 234
D.(3,-11) because (square rooted) 3* 2 + 15* 2= (square rooted)234
E.(8,-10) because (square rooted) 234 = (square rooted) 8*2 + 10(17)

Answer 1

Answer:

(D). (3, - 11)

Step-by-step explanation:

$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$

$d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 }$

The easier way is to check each point. Plug in coordinates into formula for distance.

I can see that option (D) is the right one.

(D). (3, - 11) and (6, 4)

(6 - 3)² + (4 - (- 11))² = 3² + 15² = 234