Question

Help pleaseee??

Answer 1

Find (a) the distance between the points to the nearest tenth.
(b) the coordinates of the midpoint of the segments with the given endpoints.
35. A(2, 1), B(3, 0) 36. R(5, 2), S(−2, 4)
37. Q(−7, −4), T(6, 10) 38. C(−8, −1), D(−5, −11)
39. A map of a city and suburbs shows an airport located at A(25, 11). An ambulance is on a straight expressway headed from the airport to Grant Hospital at G(1, 1). The ambulance gets a flat tire at the midpoint M of . As a result, the ambulance crew calls for helicopter assistance.
a. What are the coordinates of point M?
b. How far does the helicopter have to fly to get from M to G? Assume all coordinates are in miles.

Answer 2

Ok. So all we really need here are two equations. The midpoint formula and the distance formula.

Answer 3

Do you know either of those?

Answer 4

No this is all i was given to look at

Answer 5

Ok. That's fine. Here they are.

Answer 6

ive been working on this for days i just dont get it!

Answer 7

They are very important for math so try to remember them.

Answer 8

Alright so for the first one. (2,1) (3,0), you really just need to plug it into the formula for distance.

Answer 9

So take one of the x values ( doesn't matter which) And subtract the other x value from that.

Answer 10

Square that.

Answer 11

Wait ugh... i ahte this i am so confused!

Answer 12

\[\sqrt{(2-3)^{2}-(1-0)^{2}}\]

Answer 13

Sorry that took so long.

Answer 14

Thats how you put things into the distance formula.

Answer 15

Ok,

Answer 16

Do you get it?

Answer 17

Could you work out what that answer would come to?

Answer 18

That was the point (2,0) (3,1) I put in.

Answer 19

...If you can figure that out I can do you rest for you...

Answer 20

This stuff is really fun for me lol

Answer 21

can you please do it for me? ill just confuse u and myself haha.

Answer 22

Well I want to make sure you understand before I just give you the answers. So lets work through this one.

Answer 23

I understand it, if i try one can you help me with rest?

Answer 24

Absolutely!

Answer 25

\[\sqrt(2-1)^2 - (3-0)^2\]

Answer 26

Oh, I'm so sorry, I just realized I made a typo. You add the two numbers under the square root not subtract them!

Answer 27

But that isn't quite right there.

Answer 28

Wait what?

Answer 29

Im confused:(

Answer 30

You see you have x-y rather then x-x Take a look at the formula again.

Answer 31

which one u gave me two

Answer 32

Ok. Open the attachment for the distance formula.

Answer 33

GOT IT :D

Answer 34

Alright!

Answer 35

So try putting the second one in that formula.

Answer 36

(5,2) (-4,2)

Answer 37

its -2,4.
what is the R for?

Answer 38

Oh sorry youre right! The R is just a name they are giving the point.

Answer 39

Okay,

Answer 40

\[\sqrt{(5,2}) - (-2,4))\]

Answer 41

Sorry for the confusion, but you are adding the two values not subtracting.

Answer 42

how am i adding??

Answer 43

Ok. so it would look like this. \[\sqrt{(5-(-2))+(2-4)}\]

Answer 44

but + is add... this is sub -

Answer 45

I'm subtracting the 5 and the negative 2 there. But notice How I'm adding 5-(-2) and the (2-4)

Answer 46

okay want me to do 37 than?

Answer 47

Sure give it a shot. It would probably help to look at the formula for distance while you're doing it.

Answer 48

\[\sqrt (-7 -(-4) + (6 - 10)\]

Answer 49

Alright. very close. But do you know how an ordered pair works? It goes (x,y) so right now you're doing x-y rather then x-x like the formula says to do.

Answer 50

can you show me??? im going mad at my self

Answer 51

Ok. so you'd set number seven up like this. \[\sqrt{(-7-6)^{2}+(-4-6)^{2}}\]

Answer 52

Thirty seven I mean.

Answer 53

OH I GET IT!!! OK I GET IT!! LET ME DO NEXT ONE PLEASE?!

Answer 54

Yes sure! Look at the formula carefully!

Answer 55

\[\sqrt(-8 -5 ) ^2 + (-1 -11)\]

Answer 56

You're getting warmer! But remember a negative plus a negative is positive. so since you're doing (-8-(-5)) it would be (-8+5)

Answer 57

Also, both terms need to be squared ( although I think you just forgot to add that part on)

Answer 58

ok got it so far than whats next step?

Answer 59

Well thats really all there is to it. Then you just need to add whats in parenthesis and square it. \[\sqrt{(-8-(-5))^{2}+(-1-(-11)^{2}} \]
\[\sqrt{(-3)^{2}+(10)^{2}}\]

Answer 60

then.

Answer 61

\[\sqrt{(9+100)}\]

Answer 62

\[\sqrt{109}\]

Answer 63

wait wait wait, can we back up just a little bit?

Answer 64

Which part? After you plug everything in its all really just simple arithmetic.

Answer 65

okay so answer would be 109?

Answer 66

The square root of 109

Answer 67

ok can we do rest together so i know i get right asnwer. can you explain how you got (-3)^2 +(10)^2 please?

Answer 68

Which, if you plug into a calculator is roughly 10.44

Answer 69

Well, Whats -8+5?

Answer 70

35

Answer 71

And whats (-1+11)?

Answer 72

-3 lmao sorry

Answer 73

No.

Answer 74

big retricetypeo sorry!

Answer 75

Oh haha

Answer 76

10

Answer 77

right. So do you see how all I did was simplify what was in parenthesis?

Answer 78

yes can i try rest?

Answer 79

Yep go for it.

Answer 80

ok so would i do -7 + 10??

Answer 81

Nope. If the ten were negative then yes. But here, remember we do x-x so its (-7-10)

Answer 82

so we subtract -7 - 10?

Answer 83

Right.

Answer 84

Wait no!

Answer 85

-7-6

Answer 86

Remember x-x not x-y

Answer 87

oh ok itd be -13

Answer 88

Right.

Answer 89

so answer woudl be square root of -13

Answer 90

oh wait. we need do -4 + 10 right?

Answer 91

Right!

Answer 92

itd be 6

Answer 93

well, no. remember -4-10 since the 10 is positive.

Answer 94

-14

Answer 95

right.

Answer 96

so what do i do with -13 and -14

Answer 97

Now look at the formula. What should you do next to the -14 and the -13