Step-by-step explanation:
First, let's move the 
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the 
term is 
, we know the square will be 
(since 
it's half of ).
To complete this square, we will need to add 
to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
Answer: 81 units²
Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.
Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.
Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.
So the area of a square that has a perimeter of 36 is 81 units².
Answer:
a
Step-by-step explanation:
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Answer:
The exponential Function is 
.
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year = 
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;
The exponential Function is .
Subtracting both side by 20 using subtraction property we get;
Now Dividing both side by 12 using Division property we get;
Hence Farmer will have 200 sheep after <u>15 years</u>.
Answer: c)She should have multiplied 15 by 3 instead of dividing.
Step-by-step explanation:
Number of quilts Ruby plan to make in one month= 3
which means if Ruby makes more than 3 quilts, the time will be more than 1 month.
To find the number of months to make 15 quilts, she need to divide 15 by 3
Thus, the number of months to make 15 quilts=5
Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5 month she would make fewer than 3 quilts.
She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.
Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.
