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anonymous
 one year ago
Fan and Medal!!
The area of a rectangular piece of land is 240 square meters.
If the length of the land was 5 meters less and the width was 3 meters more, the shape of the land would be a square.
Part A: Write an equation to find the width (x) of the land. Show the steps of your work.
Part B: What is the width of the land in meters? Show the steps of your work.
anonymous
 one year ago
Fan and Medal!! The area of a rectangular piece of land is 240 square meters. If the length of the land was 5 meters less and the width was 3 meters more, the shape of the land would be a square. Part A: Write an equation to find the width (x) of the land. Show the steps of your work. Part B: What is the width of the land in meters? Show the steps of your work.

This Question is Closed

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1A square would be X by X This rectangle is said to be (X5) by (X+3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know how to find the area of a rectangle

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Solve for X, you will get 2 answers, the positive one is correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do I FOIL (x+3)(x5)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I ended up getting x^22x15

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1move the 240 over now to get x^2  2x  255 = 0

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1factor that, or use the quadratic formula , since it is a book prob, it will probably factor nice

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I make that into two binomials?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait how did you get the 17 and 15?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1255 = 17 * 15 and 15  17 = 2 (middle number)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1If you multiply that out, you get back to the original ax^2 + bx + c = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh okay I understand that

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1or you could always just apply the quadratic formula, and you would get the X values

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1so now you have (x17)(x+15)=0 which means either term can be zero, so (x17)=0 or (x+15)=0 X=17 or X=15

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The problem is a physical measure, so the positive value is the one that makes sense... X=17

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What do I write for part A and for Part B?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1First Part... Area of Land = Length * Width = 240 240 = (X5)(X+3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And do I work it out until I get (x17)(x+15) = 0?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1right, for the second part you solve it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you sososo much! You really helped a lot.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you think you can check over some of my answers? If you have the time of course

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks so much! They're quite long, so do you want me to screenshot it and attach it?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Sure, i have a bit of time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And that's it, since I don't want to have you check all of them, haha

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The first one looks good, what is the prob with that one?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just wanted to see if I got it correct or not

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1That one looks good to me

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1second one looks good too

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1For the last one part C, it asks if they all have a common factor

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1I don't see a common factor btw all 3 of those

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would be no because no common factor is consistent between the three polynomials?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you think you could check 2 more?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1k, real quick, then i have to go... you can fan me for help later if you want

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright! Once I finish with these questions, I'll be done with Algebra for the year, aha

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1For the first, for the domain, be sure to call the variable 't' and not x, Since y is a function of t, in S(t)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did you check the last one? or

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Part b asks what the maximum profit is, you dont say what that is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find the maximum?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1it would be at the vertex of the parabola, or axis of symmetry value

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find that? Did my steps correspond to the question at all?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1It looks like you have P(n) written in vertex form in part b right... so you can use that to extract the vertex coordinate (h,k)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1vertex point  (h,k) Vertex Equation  y = a(xh)^2+k

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I need to rewrite anything?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1so the vertex from your equation is at the point, (5, 2250)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is so confusing ._. I'm sorry that I'm so difficult to work with

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1sorry i said year... the most profit is at (5,2250) price 5 and prfit 2250

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find that with the steps I wrote down?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1which is also on the axis of symmetry

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The last thing you wrote, is the vertex equation for the parabola. vertex point  (h,k) Vertex Equation  y = a(xh)^2+k The maximum profit 'k' is at that vertex point, you can just read it from your equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahhh okay! So now I write that the maximum profit is 2250 ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yes, The vertex is at point (5,2250) When the tickets are sold at 5 dollars each, the profit is the most at 2250 dollars.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you sosososo much!! You're truly a lifesaver, I wish I could give you a thousand medals , haha
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