## anonymous 5 years ago find x such that the distance between the points is 5. (0,0),(x, -4)

1. anonymous

i applied the distance formula, setting it equal to 5

2. amistre64

or just use a vector

3. amistre64

distance formula is the same either way

4. amistre64

x^2 + 16 = 26 x = 3 or -3

5. amistre64

and by 26 i mean 25

6. anonymous

$\sqrt{{x^2} + 4^2} = 5$

7. amistre64

right; now square both sides; or simply forgo that steps by doing it in your mind :)

8. anonymous

right so we get: x = +-3

9. anonymous

I thought if i applied the distance formula again with x = 3, i should get 5

10. amistre64

you will

11. amistre64

9+16 = 5^2 25 = 25

12. anonymous

right i see, thank you!