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.
You did not provide us with equations to select.
Find the slope m.
m = (1 - 2)/(3 - (-1))
m = -1/(3 + 1)
m = -1/4
Use the slope and one of the points and plug into the point-slope formula.
y - 1 = (-1/4)(x - 3)
Isolate y.
y - 1 = (-1/4)x + (3/4)
y = (-1/4)x + (3/4) + 1
y = (-1/4)x + (7/4)
Did you follow?
You need to know and have memorized metric unit conversions. They are easy, you just need to know how many zeros to add.
1 cm = 10 mm
1 m = 1000 mm
1 m = 100 cm
1 km = 1000 m
(1.) 4m + 3cm = 400cm + 3cm = 403cm
(2.) 3km + 8m = 3000m + 8m = 3008m
(3.) 7cm + 9mm = 70mm + 9mm = 79mm
(4.) 1m + 5cm = 100cm + 5cm = 105cm
(5.) 5km + 5m = 5000m + 5m = 5005m
Do you see that to switch 5km to smaller unit meters you just add the zeros on to the end. Because 1km = 1000m ; 5km = 5000m
You try the rest. let me know if you have any questions.
Use this to calculate a 15 percent tip on a $36 bill.
What should I tip on 36 dollars? How much is the tip for $36?
which would be $41.40
What if we split the bill? How to tip? What's the best tip? Use this as a guide for tipping. It can be for anything, such as a restaurant, pizza delivery driver, tour guide, taxi driver, or anything calculating a percentage tip on the total amount.
Answer:
1. B
2.C
Step-by-step explanation:
A plot of land in the shape of a vertical ellipse. The equation of the ellipse is
If the foci are 8 feet from the center, then 
If the plot of land is 34 feet across the vertical axis, then 
Use formula 
(because ellipse is vertical, then b>a) to find a:
Then the plot of land is 2a=30 ft across the other axis.
If b>a, the eccentricity of the ellipse is
