Question

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

Answer 1

The distance between  the points (–3,k) and (2, 0) exists k = ± 3.

How to estimate the distance between points (–3, k) and (2, 0)?

To calculate the distance between two points exists equal to

$d=\sqrt{(y 2-y 1)^{2}+(x 2-x 1)^{2}}$

we have (-3, k) and (2, 0)

$&d=\sqrt{34}$

substitute, the values in the above equation, and we get

$\sqrt{34} &=\sqrt{(0-k)^{2}+(2+3)^{2}}$

simplifying the above equation

$\sqrt{34} &=\sqrt{(-k)^{2}+(5)^{2}}$

$\sqrt{34} &=\sqrt{k^{2}+25}$

squared both sides

$&34=k^{2}+25$

$&k^{2}=34-25$

$&k^{2}=9$

k = ± 3

Therefore, the value of k = ± 3.

To learn more about distance refer to:

brainly.com/question/23848540

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