Exponentiate the log or In because Exponentials are inverses of Logs and lns.
P=2(L+W)
l=x+7
w=x
P=2(x+7+x)
P=2(2x+7)
P=4x+14
hast to be greater than 154
P>154
4x+14>154
minus 14 both sides
4x>140
divide 4
x>35
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
The slope is -2/3.
You have to do -2-2 and you get -4.
Then you do 12-6 and you get 6.
The final step is to do -4 divide 6 and you get -2/3.
Answer:
The first answer choice
Step-by-step explanation:
Formula for volume of a rectangular pyramid is V=lwh/3
