Answer:
The correct option is 2.
Step-by-step explanation:
The given function is

Where, a and b are positive numbers.
The given function is the slope intercept form of a linear function. Where a is the slope and b is y-intercept.
Since slope is positive therefore function approaches to infinity as x approaches to infinity and function approaches to negative infinity as x approaches to negative infinity.
It is also proved by using limits.

Apply limits.

Similarly,

Apply limits.

Therefore option 2 is correct.


Answer:
They are the same
Step-by-step explanation:
So, as you can see there are 4 empty tiles in the middle. Now imagine that the 4 tiles outside don't exist. the width and height of both squares is the same. It's only the 4 tiles that have been misplaced. Therefore, technically they have the same area. Hope this helps!!
Square root 49 because the square root of 49 is 7.
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and
so we fill in the formula accordingly and then simplify:

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:

I'm not sure why you have 7/2 there...