Question

I am so confused.....PLEASE HELP
I understand part c but not a and b.

A right triangle has base (x - 7) units and height (2x - 10) units.
Part A: What is the square of the length of the hypotenuse of the triangle? Show your work.

Part B: What is the area of the triangle?

Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials.

Answer 1

Please help, I'm lost>

Answer 2

Use a part of Pythagorean theorem for A.
The equation will be:
(x - 7)^2 + (2x - 10)^2
Do not square root the answer since it is telling you to get a square of the hypotenuse.

For part B, use a formula for an area of a triangle.
(b*h) / 2
= (x - 7)(2x - 10) / 2

Answer 3

Oh thank you. That is what I di for Part a but I squared it. So, I will unsquare it now.

Answer 4

So for part b, the answer is what you wrote? Because otherwise how would I do the problem (x-7)(2x-10)/2 ? @cindykim95

Answer 5

(x-7)(2x-10) = 2x^2 - 24x + 70
(2x^2 - 24x + 70)/2 = x^2 - 12x + 35

Answer 6

Thank you so much. I always have so much trouble with math. Can you help with another one? @cindykim95

Answer 7

You're welcome :) And yes, I can help you.

Answer 8

The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each:

P(n) = -250n2 + 2,500n - 4,000

Part A: What are the zeroes of the above function and what do they represent? Show your work.
Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work.

Part C: What is the axis of symmetry of the function P(n)?

Answer 9

Please wait for a second. I'm working on my paper now.

Answer 10

Do you know what is the derivative by any chance? I mean, have you ever learned about that concept?

Answer 11

I don't know

Answer 12

Part A: I don't understand the question. Sorry.. :( Seriously, I've never seen this kind of question in my life. Can you explain this to me if you can?

Part B:
p(n)' (Derivative of p(n) = -500n + 2500
Let p(n)' so it becomes
0 = -500n + 2500
-2500 = -500n
n = 5.
If you put 5 into the original function, it becomes
-250(5^2) + 2500(5) - 4000
= 2250 (This is the final answer)

Part C:
There is a formula for getting the axis of symmetry for a quadratic equation.
For ax^2+bx+c = 0, -b/2a.
In this equation, b = 2500 and a = -250
If you plug the number,
-2500/(2*-250) = 5 (this is the axis of symmetry)

Answer 13

@cindykim95, that was all that was written in the question

Answer 14

In case you want to know what the derivative is,

for example,
Derivative of x^5 = 5x^4
Derivative of 5x^4 = 20x^3
Derivative of 20x^3 = 60x^2
Derivative of 60x^2 = 120x
Derivative of 120x is 120
Derivative of 120 is 0.

Do you kind of see the pattern here?

Answer 15

Yes, I think so

Answer 16

I think in part a the zeros represent the ticket @cindykim95

Answer 17

@Cindykim95... thank you so much. You really helped me out a lot! When I see it, I understand it more. I just can't figure it out. :) Thanks again.

Answer 18

You're welcome :)