The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2.
So the answer is b(2a+b)
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
I’m a little confused do you have a picture I could solve for cos then
Answer:
415.63 minutes
Step-by-step explanation:
Growth can be represented by the equation
. We can find the rate at which it grows by using t=25 minutes and
or double the amount at that time. The first step we always take is to divide
by A.
To solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know
so we were able to cancel it out and divide both sides by 25.
We solve with a calculator
We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.
The equation is
.
We repeat the step above substituting A=5,000,000,
=50, and r=0.02777. Then solve for t.

t=415.63 minutes