Question

Given the points (–3,k) and (2,0), for which values of k would the distance between the points be √34 ?

Answer 1

3,-3

Explanation:

Answer 2

The values of k are 3 and -3

Explanation:

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have

`(-3,k)\\(2,0)`

`d=√(34)`

substitute

`√(34)=\sqrt{(0-k)^(2)+(2+3)^(2)}`

`√(34)=\sqrt{(-k)^(2)+(5)^(2)}`

`√(34)=\sqrt{k^(2)+25}`

squared both sides

`34=k^(2)+25`

`k^(2)=34-25`

`k^(2)=9`

`k=(+/-)3`