There's a simple formula for the area of an ellipse: pi*a*b, where a and b are , half the lengths of the long axis and the short axis respectively.
Here, A = pi*(12 ft)(4 ft) = 48 pi ft^2, or about 150.8 ft^2.
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
-5=s/18
Pretend that s/18 is 1/18s
-5=1/18s
Multiply by 18/1 for both sides
-5(18/1)=1/18(18/1)s
Cross out 1 and 1, divide by 1 and then is one.
Cross out 18 and 18, divide by 18 and then is one.
s=-90
Answer: s=-90
Answer:6
Step-by-step explanation:Which sequence is modeled by the graph below?
10
9Hold on, our servers are swamped. Wait for your answer to fully load.
8
• (5,8)
7 7.
8
5
4 +
. (4,4)
3
2
• (3, 2)
1
.
(2, 1)
1 2 3
empl
4
5
6 7
8 9 10
Collect like terms
2n2 i’m gonna assume is 2n^2
and n2 is 2n
2n^2-10n+5
