(3x+7)(3x-7)
You can distribute these values to give you 9x^2 minus 49. For future reference, when you have no terms including x to the first power the basic numbers in the factored equation (in this case -7 and 7) will be identical with one of them negative in order to cancel this piece out
First of all you are going to want to google the way to solve that area of a triangle. Solve the triangles area. then find the area of the rectangle and add all of your answers to get the over all area.
Answer:
67 cm
Step-by-step explanation:
We are given the initial height of the plant let's call it H.
H = 54 cm. This is the original height of the plant at M(months) = 0.
We are given that it grows at 1 cm/month. This is the rate of growth.
Rate = 1
Time (M) is given in Months.
So when M = 0, H = 54
Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.
When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.
H = 1M + 54.
Now we just plug in 13 for M, to get 13 months.
H = 13 + 54
H = 67 cm
So our plant would be 67 cm in height after 13 months.
10^-8 = 1/(10^8)
10^8 = 100000000
1/100000000 is your answer
hope this helps
Answer:
Week=25 Hours
Weekend= 5 Hours
Step-by-step explanation:
So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).
$20x+$30y=$650
We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.
The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).
x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.
20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.
100y+30y=650 Next add the like terms together (100y+30y).
Now all we have to do to find y is divide by 130 on both sides to get y alone.
130y=650
________
130 130
y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.
x=5(5)
x=25