Answer: see attachment
<u>Step-by-step explanation:</u>
The standard form of a linear equation is: Ax + By = C
where A, B, and C are INTEGERS.
The 1st, 3rd, & 4th equations are in the form Ax + By = C
The 2nd, 5th, & 6th equations are NOT in standard form.
simply need to fill in Y=Mx+b!
slope is 1/2, the and b (the y intercept) is 0! so y=1/2x + 0 or y=1/2x :)
100-33.33= 66.67 (about 2\3-- --basicly it is)
<span>First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)
=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2]
We will ignore the negative sign
I hope it helped.</span>
Answer:
Step-by-step explanation:
This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.
We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:
where s is a side.
Since we are looking for the rate at which the area is changing, 
, we need to take the derivative of area formula implicitly:
that means that if is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:
so
s = 7
We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is 
. Filling it all in:
and
