I need some help with my homework..?

Question

Questions 1: Each side of a square is lengthened by 3 inches. The area of this new, larger square is 196 square inches. Find the length of a side of the original square.

Question 2: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares measuring 3 inches on a side from the corners and the shapes the metal into an open box by turning up the sides. If each box must have a volume of 48 cubic inches, find the length and width of the open box.

Question 3: 6/2x^2-12x+12

Any of the answers will be fine and very much appreciated, but explain how you got it so I can learn? Thanks.

For question 3 its

List all numbers that must be excluded from the domain of the rational expression. Write your answer as an exact answer, i.e. in radical form.

(6)/2x^2-12x+12

I tried to solve it, I got 6/12+ or - squareroot(48)/4

But when I put it in webassign, it said it was wrong? What am I doing wrong?

Answer 1

That's an awful lot of answer, luv. Very quickly:

1) Set up the equation. Let the old side of the square be x, then the new one is x + 3. You know that the new area is 196 square inches, so

(x + 3)^2 = 196

Solve the resulting quadratic. Remember to apply the reality test to your answers - if you get a negative answer, you probably want to reject it.

2) Same problem, essentially, as #1. If the side of the square is x, then the box will have dimensions (x - 6), (x - 6) and 3. Make sure you understand why it's x - 6 and not x - 3.

3) This isn't a question, it's an expression. What do you want to do with it?

Answer 2

all i can get is question 1 as long as all the sides are equal the answer is 11.

Answer 3

Try to learn on your own, we're here to help, not to be taken advantage of.

Answer 4

do your own homework!!!