Question

To the nearest tenth,what is the distance between (7,4) and (12,5)?
A: 4.8 Units B:4.9 Units C:5.0 Units D: 5.1 Units

Answer 1

Have you applied the distance formula in this case?

Answer 2

i think it's B

Answer 3

Why do you think it is B?

Answer 4

bc i jus do dang

Answer 5

If you are just guessing, that is not helpful to the asker...
As I said, we should apply the distance formula with the two points:
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
And then use a calculator to determine the approximate form with rounding .

Answer 6

k bye

Answer 7

can you show me how ?

Answer 8

bye @_mar5iah_

Answer 9

Do what @AccessDenied said and plug in your \((x_1,y_1)\wedge(x_2,y_2)\) into that formula.

Answer 10

Just substitute our points into the equation:
\( (\color{blue}{12}, \color{blue}{5}) \text{ and } (\color{green}7, \color{green}4) \)
\( d = \sqrt{(\color{blue}{12} - \color{green}{7})^2 +( \color{blue}5 - \color{green}4)^2} \)
And simplify. That makes sense?

Answer 11

i got 626 @AccessDenied

Answer 12

am i right?@AccessDenied

Answer 13

@AccessDenied

Answer 14

That seems much too high. Could you write out the operations you did in a little more detail so we can figure out the issue? :)

Answer 15

25^2 + 1^2
d=625+1
d=626

Answer 16

@AccessDenied

Answer 17

I think you squared the 5 twice:
(12 - 7)^2 = 5^2 = 25

Answer 18

ok @AccessDenied

Answer 19

sqrt(5^2 + 1^2) would look better now, which simplifies down to:
sqrt(26)

Answer 20

what do i do ? Can u help me with that part ? I Am Confused @AccessDenied

Answer 21

Which part? The sqrt(26) ?

Answer 22

what is the answer ?

Answer 23

I agreed with the steps up to here:
sqrt( (12 - 7)^2 + (5- 4)^2 )
= sqrt( 5^2 + 1^2 )
= sqrt(26)

The answer comes from simply using a calculator now. Enter the sqrt(26) and you should get a decimal. Round it to the nearest tenth.

Answer 24

26 is rounded to 5.0 units Answer Choice : C

Am i right ?

c:5.0 units @AccessDenied

Answer 25

You originally had 5.099019... ?
Since 5.09 is closer to 5.1 than 5.0, so we round up.

Answer 26

am i right @AccessDenied

Answer 27

You are rounding:
\( 5.0\underline{\color{red}9}9019... \)
We use this digit to determine whether to round up or down.
If the digit before the tenths place is 5 or higher, we round UP to 5.1.
If the digit before the tenths place is less than 5, we round DOWN to 5.0.

So the choice of (C) 5.0 is false because we should be rounding up, or (D) 5.1.

Answer 28

can you help me with another question ? @AccessDenied