Question

Find the distance between the points to the nearest tenth
A(-1,5), B(0,4)

Answer 1

Hi there!
Welcome to OpenStudy! :)
Do you have any ideas as to where to start?

Answer 2

Hi!
Thank you!
Well, based on my book I see that I have to use the distance formula but when I did the answer didn't come out right :(

Answer 3

Hmm..
Can you show me the work you did so far?

Answer 4

Ok so I put (-1,5) (x1, y2) (0,4) (x2, y2)

d=sqrt (0-(-1))^2 + (4-5)^2

Answer 5

(x^2-x^1) + (y^2-y^1)

Answer 6

Plug your values into that formula.

Answer 7

=sqrt(1)^2 + (-1)^2
=sqrt 1+(-1)
=0
but thats not right :(

Answer 8

Find the squareroot of 20 for your answer.

Answer 9

Ok let's work this out again,
Here's the distance formula
\[\huge d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]
We plug in our values
\[\huge d=\sqrt{(0-(-1))^2+(4-5)^2}\]
Continue from here

Answer 10

It's quite simple when you use the formula since the formula (x^2-x^1) + (y^2-y^1) is very straight forward. (-1^2-0^1)+(5^2-4^1) = 20

Answer 11

From there on you'd find the square root

Answer 12

=sqrt(1)^2 + (-1)^2?

Answer 13

You don't have to solve the formula under the SQRT sign first @Mimijola, you can just solve the equation first then take the solution and get the sqrt

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Mimijola
=sqrt(1)^2 + (-1)^2?
\(\color{#0cbb34}{\text{End of Quote}}\)
correct so far continue :)

Answer 15

Mimi I led you to the answer, what is the sqrt of 20?

Answer 16

4.4.....

Answer 17

Yes

Answer 18

4.472136 to be specific.

Answer 19

So that is the answer?

Answer 20

That's incorrect.

Answer 21

My book says 1.4

Answer 22

That's the right answer but do you know how to get it?

Answer 23

No, thats what Im confused about.

Answer 24

Ok let's work this out again,
Here's the distance formula
\[\huge d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]
We plug in our values
\[\huge d=\sqrt{(0-(-1))^2+(4-5)^2}\]
Continue from here
Bare in mind that 2 minus signs next to each other make a positive
\[\huge d=\sqrt{(0+1)^2+(4-5)^2}\]
Continue it

Answer 25

Whoa whoa, -1 should come before 0 since -1 is X1 being that it's A

Answer 26

Consider rereading the formula @marziman

Answer 27

d=sqrt 1^2 + (-1)^2?

Answer 28

That good :)
So we have
\[\huge d=\sqrt{(1)^2+(-1)^2}\]

Answer 29

Keep going!

Answer 30

\[\sqrt{1+(-1)}\]

Answer 31

?

Answer 32

Not quite...
-1^2=-1 *-1 =?

Answer 33

0? or 1?

Answer 34

Well we are multiplying so which is it?

Answer 35

1

Answer 36

Good :)
so we have
\[\huge~\rm~\sqrt{1+1}\]
1+1=?

Answer 37

2

Answer 38

Right?

Answer 39

Yep
\[\huge~\rm~\bf~\sqrt{2}=? \]

Answer 40

Yayyyy!! 1.4....

Answer 41

Thank you!!!

Answer 42

May I have your help with another one?

Answer 43

You're welcome :)

And sure we can do another one

Answer 44

Ok, thanks!
Question: AB has endpoints A(-3,2) and B(3,-2)
Find the coordinates of the midpoint AB

Answer 45

Here's the midpoint formula
\[\huge~\rm~\frac{ x_2+x_1 }{ 2},\frac{ y_2+y_1 }{ 2 } \]
We plug in our values
\[\huge~\rm~\frac{ 3+(-3) }{ 2},\frac{ -2+2 }{ 2 } \]

Answer 46

0/2, 0/2?

Answer 47

Well almost what is 0/2

Answer 48

0?

Answer 49

Yep so the coordinates are?

Answer 50

0,0?

Answer 51

Yep :)

Answer 52

Omg Thank you very much! You saved my life :0

Answer 53

You're welcome! :)