Question

Need Help with a Linear Word Problem Please?

Answer 1

Basically, I have done the first 2 numbers. This 3rd question I am stuck on. My equation I chose to work with is y = x + 1. Im not understanding how to find this answer.

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.

Answer 2

I'll help :)
We have the same name!!! Lol

Answer 3

haha I noticed! :)
and thanks!

Answer 4

This is what I've got so far :

• The orbit being y^ + x^2 = 40,000, you can use substitution to find the x and y intersection points. Substitute x + 1 into the original equation of y^2 + x^2 = 40,000. This should give you, x^2 + (x + 2)^2 = 40,000. First, you will need to convert that into quadratic form to make it simpler to solve. After converting this into quadratic form, you should get the answer of x = 140.92047235. After getting this answer, you now want to plug this into the y = x + 1 equation to find y. The next equation will be y =

But the x answer doesn't sound right to me. When i graph it I get, (-0.2, 0.8) and then I ahve no idea how to find y.

Answer 5

Here:

Answer 6

Did you post something? lol I can't see anything

Answer 7

Here is your graph for this problem.

Answer 8

Hm, can't see anything.

Answer 9

having troubles getting it up... lol

Answer 10

haha okay, well heres the graph I got so far. http://tube.geogebra.org/student/m590347

Answer 11

I just plotted the points, but the teacher wants to know by elimination or substitution, I can't simply saying graphing. D; Thats what I am trying to figure out.

Answer 12

Hmm... I cant get it. But if you put y = x + 1 in the box it will show the same graph I have. Here is the link: http://www.mathpapa.com/calc.html?q=2x%20 @%20x%3D3

Answer 13

Yeah, my issue right now is explaining how the find the intersection point using substitution.

Answer 14

But thanks for trying!

Answer 15

Okay, hmm... I'm not to good with these. Let me tag some people.

Answer 16

Alrighty, thanks!

Answer 17

@jjuden

Answer 18

@Squirrels

Answer 19

@elyskittles

Answer 20

@Secret-Ninja @misty1212

Answer 21

\[x^2+y^2=40,000\]
\[y=x+1\]
\[x^2+(x+1)^2=40,000\] solve for \(x\)

Answer 22

http://www.wolframalpha.com/input/?i=x%5E2%2B%28x%2B1%29%5E2%3D40%2C000
click on "approximate form"

Answer 23

How do I do that exactly? Do I distribute? I'm not used to the + sign being there before the parenthesis.

Answer 24

I got 140.92047235

Answer 25

@misty1212

Answer 26

\[x^2+x^2+2x+1=40,000\\
2x^2+2x-39,000=0\] use the computer

Answer 27

oops it is
\[2x^2+2x-39999=0\]

Answer 28

How did you get the x^2 + x^2 +2x + 1 = 40,000? and 2x^2 + 2x - 3999= 0? I cant use my computer unfortunately, I need to explain all this somehow. @misty1212

Answer 29

@katti @Agl202

Answer 30

@k_lynn

Answer 31

@satellite73 please help

Answer 32

are you trying to sovle \[x^2+(x+1)^2=40,000\]?

Answer 33

Yes

Answer 34

I got 140.9204735 @satellite73

Answer 35

@shadow2239

Answer 36

@UltraSoundwave15