Question

What is the length of the segment joining the points at (1, –8) and (5, 0)?

Round to the nearest tenth if necessary.

Answer 1

I got 11.31

Answer 2

@jdoe0001

Answer 3

hmmm one sec

Answer 4

ok

Answer 5

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -8}})\quad
% (c,d)
&({\color{red}{ 5}}\quad ,&{\color{blue}{ 0}})
\end{array}\qquad
% distance value
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

what would that give you? is not 11.31 btw

Answer 6

sq root of (16 + 64)

Answer 7

yeap

Answer 8

8.94

Answer 9

That seems about right

Answer 10

\(\bf d=\sqrt{4^2+8^2}\implies d=\sqrt{80}\implies d=\sqrt{4^2\cdot 5}\implies d=4\sqrt{5}\)

or the decimal 8.94, yes

Answer 11

They say Round to the nearest tenth if necessary.
would 9.94 still be right

Answer 12

ohh the nearest hmm

Answer 13

hmmm 8.94 can round up to 9.00

Answer 14

But that wouldn't be the nearest tenth

Answer 15

nearest tenth, meaning the decimal on the right
so for say 8.25 that be 8.30

but this is 8.94, so I'd think it'd make it 9.00.... since you can't make it 8.100 =)

Answer 16

hmm wait a sec... is .94 you have to drop it down, to .90

so.. 8.90 :)

Answer 17

8.9 would be the answer

Answer 18

Thanks so much @jdoe0001 and @wolf1728

Answer 19

yes, as @wolf1728 said, notice 94 is below "95" or the 5-threshold
so it rounds downwards, to 90 or 8.90 or 8.9 for significant numbers