Answer:
Step-by-step explanation:
Given:
A translation upward or downward affects the 
value of a coordinate while a translation left or right affects the 
value of a coordinate.
We are translating the whole triangle down three units, so we subtract all the values by 3.
We are also translating the whole triangle to left left five units, so we will subtract all the values by 5.
New Coordinates:
Answer:
125000 square feet
Step-by-step explanation:
Since there are only three sides of the rectangle, the perimeter of the fence is:
Let x and y be the sides of the rectangle, we are left with:
2 * x + y = 1000
solving for and:
y = 1000 - 2 * x
The area of the corral is:
A = x * y
replacing
A = x * (1000 - 2*x)
A = 1000 * x - 2*x^2
to find the maximum for the parabolic function A = 1000 * x - 2*x^2
The function has a maximum since the quotient before x ^ 2 is negative: -2 <0
Amax = c - b^2 /4*a
where a = -2, b = 1000, c = 0
A max = 0 - 1000^2/(4 * (- 2))
A max = 125000 ft^2
The maximum possible area of the pen is 125000 square feet.
Solution:
<u>Step-1: Find the data.</u>
- 70's: 1
- 80's: 1
- 90's: 2
- 100's: 3
- 110's: 4
- 120's: 4
- 130's: 2
- 140's: 1
Data obtained (Smallest to biggest):
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
<u>Step-2: Count the number of digits.</u>
<u>Step-3: Use the formula "Total digits/2".</u>
The 9th digit in the data is the median.
<u>Step-4: Revise the data.</u>
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
The median value of the line plot is 110.
Y=-X-3
X+Y=4
You'll want to get X or Y by itself, which in this question it already is.
After that, use substitution (Plug -X-3 in place of Y in X+Y=4)
Equation should look like X+(-X-3)=4
Solve that equation
X+(-X-3)=4
X+(-X) cancels eachother out, leaving you with (-3)=4
Add 3 to both sides of (-3)=4, leaving you with 0=7
0 Can't equal 7, so this equation has no solutions
Answer: The answer is Iπ + √17|.
