Question

What is the distance between P(–4, 3) and Q(6, 1)?

Answer 1

Use the distance formula., if you know it!

Answer 2

\[distance = {\sqrt(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

Answer 3

\[d = \sqrt(x^2 - x^1)^2 + (y^2 - y^1)^2\]

Answer 4

Yeah, but 2 and 1 are subs... not exponents!

Answer 5

\[d = \sqrt(3 - 1)^2 + (-4 + 6)^2?\]

Answer 6

\[= \sqrt(2)^2 + (10)^2\]

Answer 7

\[\sqrt(4 + 100) = \sqrt(104) \approx \]

Answer 8

Yes

Answer 9

And rounded to the nearest tenth is approximately 10.2? Thanks @ParthKohli ! :)

Answer 10

Actually you can express it in radical form, since that's more accurate!

Answer 11

104|2
52|2
26|2
13|13
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Answer 12

\[\sqrt{104 } \implies \sqrt{2 \times 2 \times 2 \times 13} \implies 2\sqrt{26}\]