Question

5 part Linear question. Help needed!

Answer 1

@csscgirl
Figured I'd mention you in the question since you helped last time :p

Answer 2

shoot ^_^

Answer 3

1. Before blast-off, the Mathonauts must set the trajectory of their ship. Create a linear equation with a positive slope to be your original trajectory.


2. After blast-off, the sensors have picked up an incoming meteor. The Mathonauts frantically start preparing for impact. If the linear equation of the meteor’s path is known, describe to the captain how to solve where your equation from question 1 and the meteor’s path will cross. Explain any possible methods used in discovering a solution.

We'll start with these two parts.

Answer 4

lol thanks :)

Answer 5

a=mx+b
m will not be negative and b will be 0, m will b pretty high asuming this is a ship going to space )

Answer 6

TRY this http://openstudy.com/study#/updates/521d0958e4b0750826e0408d

Answer 7

@Albany_Goon give smores a medal for me pweez! ^_^

Answer 8

yes np reed my bio

Answer 9

For 1, we could make y = 5x +1 the liner equation, right? I was searching for an example of a linear equation with a positive slope.

Albany, I would use that example but I would like more parts of the question than provided :p

Answer 10

@csscgirl

For two, I saw in the other link that we could set them equal to each-other and solve for x?

Answer 11

I went ahead and solved for x. I got myself \[x= \frac{ 1 }{ 5 }y-\frac{ 1 }{ 5 }\]

Is this correct?

Answer 12

yes, that can be your linear equation... and yeah... just divide everything by 5 and then move the constant to the side that x is on :D telll me what you get then :)

Answer 13

I've never done a question like this... like woah :P

Answer 14

Yeah, it's quite confusing to me myself so I am just trying to solve it slowly. I'm going to get confused mainly at graphing.

Answer 15

@csscgirl
I still have 3 parts!

Answer 16

Oh, I just read what you told me to do. One moment

Answer 17

lol alright... just keep em comin :D i'll be back and forth between some questions, but i promise, im here to help u :)

Answer 18

@skullpatrol

Answer 19

hes smart.

Answer 20

@csscgirl To be sure, am I solving for y or something?

Answer 21

yep :)

Answer 22

I actually just finished question 1 & 2.

Now it's time for the next two parts ._.

3.Having survived the meteor impact, thanks to some last minute evasive maneuvers, the Mathonauts now set their sights on their Interstellar Headquarters. The Interstellar Headquarters orbits the Earth based on the equation y2 + x2 = 40,000. Using the original trajectory of the ship and complete sentences, explain to the pilot how to find where the ship’s path will cross the Interstellar Headquarters’s path.


4.While docked, the captain wants to resupply the ship’s missiles and ray-guns. You will need to explain to the captain what information you must know and how that can be used to determine the number of missiles and ray-guns to fill the ship and use all the batteries.

The ship can hold only 15 weapons total and only has 45 batteries.
The missiles and ray-guns each require different amounts of batteries to operate.

Answer 23

@csscgirl
Do you want me to message you rather than being annoying and mentioning you each time I'm on the next part?

Answer 24

nah its alright... im done with the others for now... u have my full attention

Answer 25

Alright. So I'm looking at 3 right now.

Answer 26

3. that is an equation for a circle.

Answer 27

i realize that so far.

Answer 28

Yeah. :P

So this is basically our question : Using the original trajectory of the ship and complete sentences, explain to the pilot how to find where the ship’s path will cross the Interstellar Headquarters’s path

Interstellar HQ : y2 + x2 = 40,000

Answer 29

yep... now, where do the line and the circle intersect?

Answer 30

do this by solving the system of equations, the circle being one equation and the line you travel being the second equation and see if you can solve the system for the answer :D

Answer 31

To be honest, I'm stuck completely right now.

Answer 32

I have no idea what I'd do in this one. I'm assuming a way to solve this would be graphing it.

Answer 33

you can graph it if you would like. that would be probably the easiest way if you are using a calculator

Answer 34

Right and like I said, graphing is one of my weakest points. :p

Mind showing me how I'd solve this step by step?

Answer 35

lol alright... here is a really good site for graphing: desmos.com/calculator

Answer 36

now, graph x^2+y^2=40000

Answer 37

(is this algebra or precal?)

Answer 38

Algebra II.

Answer 39

lol i prtty much skipped algebra II :/ but i think i can do this one :P

Answer 40

Alright so I graphed it and it doesn't seem to be showing on the graph. Am I supposed to enter another part to see the results?

Answer 41

Well lucky you >_>
@csscgirl

Answer 42

lol ikr... my teacher didn't now how to do any of the math, so when i said i was confused, she gave up and gave me 100 for the class :P

Answer 43

to see the graph, zoom out a lot

Answer 44

Okay I see it. So would I enter our original trajectory now?

(I'm stuck doing this and this is probably one of the most confusing courses I've taken.)

Answer 45

ikr.... and yes... i believe so. :) (or im hoping so, beecause that how i would solve it :P)

Answer 46

Lucky to have you here. Alright, I'm entering it now.

Answer 47

lol thx. we can gete thru this together XD and great :)

Answer 48

Okay I see it. So would I simply just find the coordinates on the bottom?

Answer 49

(39,196.2) is that the coordinates you got?

Answer 50

(-39.42, -196.08) is mine

Had to brb.

Answer 51

ok... then trust urs... :)

Answer 52

Hehe alright. ^_^

Answer 53

Alright, now for question 4.

While docked, the captain wants to resupply the ship’s missiles and ray-guns. You will need to explain to the captain what information you must know and how that can be used to determine the number of missiles and ray-guns to fill the ship and use all the batteries.
-The ship can hold only 15 weapons total and only has 45 batteries.
-The missiles and ray-guns each require different amounts of batteries to operate.

Answer 54

Two more parts cssc! :P

Answer 55

lol alright... what is question 4 askin?

Answer 56

@csscgirl I am back now. I'm reading it now.

Answer 57

So we want to basically determine how many missiles and ray-guns we can load that also use all the batteries. So we can only load 15 weapons and we need to use all 45 batteries. What we do not know is the amount of batteries required for each weapon.

Answer 58

Are you there?

Answer 59

yeah sorry... oh...ok... so idk... i gotta think bout that one ... what is the next one?

Answer 60

Before departing the Interstellar Headquarters, the ship’s navigator begins to plan the next trip. She uses a map with their current trajectory already graphed on it. There is also a table that has coordinate points of a satellite that the Mathonauts must intercept. Explain to the navigator how she can use the graph and table to find where they will intercept the satellite. Assume the path of the satellite is linear. Use the coordinates to create an equation representing the path of the satellite. Explain the process and show how to find the point of intersection algebraically.


Last part. I need to upload the image for it for you :p

Answer 61

http://i.imgur.com/MIhaKQT.png

Answer 62

ummmm..... alright, im so confused now :/

Answer 63

I just answered question 4. It was worded oddly but basically the answer is that the information needed was how many batteries each requires.

Answer 64

@whpalmer4 can you help?

Answer 65

Don't worry, I'm confused with ya.

Answer 66

@satellite73

Answer 67

this person may know... he has a really high smartscore :P

Answer 68

No luck on him coming. :P

Answer 69

@UnkleRhaukus

Answer 70

Unkle, we are currently on the last part. If you would like, I can copy and paste it for you?

Answer 71

yeah ok, i can't read this entire post

Answer 72

Okay!

Answer 73

Before departing the Interstellar Headquarters, the ship’s navigator begins to plan the next trip. She uses a map with their current trajectory already graphed on it. There is also a table that has coordinate points of a satellite that the Mathonauts must intercept. Explain to the navigator how she can use the graph and table to find where they will intercept the satellite. Assume the path of the satellite is linear. Use the coordinates to create an equation representing the path of the satellite. Explain the process and show how to find the point of intersection algebraically.

http://i.imgur.com/MIhaKQT.png


And previous information in case it is needed.
Selected trajectory : y = 5x +1

Answer 74

@UnkleRhaukus Just in-case you were unaware it was posted.

Answer 75

I have to go for now. If you could solve this and show me how you did it, I would be extremely grateful. THANKS! ;D

Answer 76

use any two points \((x_1,y_1)\) and \((x_2,y_2)\) from the table
and the two point formula \(y=(x-x_1)\dfrac{y_2-y_1}{x_2-x_1}+y_0\)
to determine an equation that describes the satellites trajectory

now use this equation to find point that the satellite will be at further times
i.e. extend the table

now plot points of the table

you are looking for the coordinates of the point that is on the line of the ship AND on the line of satellites