CalTheGreat

Hint for #2: 

Factor the equation and let a and b be the roots of it. Then, compute!

Yeah. Technically my dad. He tells me everything. LOL!

Hint:

Since the radius is 28mm, we know that the diameter is 56mm.

Therefore, the length of the rectangle will be 56mm. Knowing this, I bet you can work out the area of the rectangle :D

Hope this helped!

This can't be found... when you get it to work, I will be happy to help!

Here is another way to put it:

We find the GCF of all of the terms, which is x. That will get us x^2+4>5x

This can be set into a quadratic (ax^2+bx+c). 

In this case, the quadratic will be x^2-5x+4.

We will then factor the quadratic, which will get us (x - 1)(x - 4) > 0

The possible values of x will be x=1 and x=4.

If we write this in interval notation, it will be (-infinity, 1) U (4, infinity) 

I will try but... wow! This is really complicated!!!

Oh yeah!!! Thanks for the explanation, Chris. 

Me to myself: "I didn't realize that this was a polynomial! Read the question, Cal!" LOL!

Anyway, thanks again!

Nice, Chris! We can also look at it like this--

First equation:   3x + 4y  = -14

                          y = (-3/4)x - 7/2   

We know that Line 2  is perpendicular to Line 1.

Therefore, its slope is also -4/3

The question also says that Line 2 passes through (-5, 7).

Second equation: 7 = (4/3)(-5) + b

                             b= 41/3 

Line 2 will have the equation

y = (4/3)x + 41/3

Where 4/3 is the slope and 41/3 is the y-intercept.

Therefore, Slope+y-intercept will give us 4/3) + (41/3)  =  45/3 = 15

I agree! This is true. The inverse sin allows the max and minimum x value between the domain.

We know from f(x)=sin^-x that the range is all real numbers since x can be any real number.

Hope this helped!

Same. I'm just doing math and video games... gettin' homeschooled... NOT FUN AT ALL!!! I need some sports!!! I like a normal, young and immature life. LOL!