Answer:
225 ft^2
Step-by-step explanation:
From what we have in the question, we have 60 ft of fencing
To maximize the area, we will need to have a square
For a square, the length of all sides are equal
Let us call one of the sides s
Thus, from the perimeter of the square;
4s = 60
s = 60/4
s = 15 ft
The area is thus, the product of the side length of the square
15 * 15 = 225 ft^2
-4h -6 = 22
To solve this, we need to get -4h by itself and then simplify.
-4h -6 = 22
Add 6 to both sides.
-4h = 28
Divide both sides by -4.
h = -7.
I hope this helps!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Translation 12 units down puts each point 12 units lower on the graph than the position where it is currently shown. Segment RS is now shown on the line y=9. It will be translated straight down so it appears on the line y = 9-12 = -3.
Similarly, T has a y-coordinate of 2. Translated down 12, it will have a y-coordinate of y = 2-12 = -10.
The x-coordinates of all of the points remain the same.
The translation is shown in the attachment.
Answer:
Step-by-step explanation:
4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."
Second, we want to solve the equation:
4 (x + 3) = 2x + 8
4x + 12 = 2x + 8
2x + 12 = 8 <-------subtract 2x from both sides of the equation.
2x = -4 <-------subtract -12 from both sides
x = -2 <-------divide both sides by 2 which leaves a negative answer
Third, we want to check the answer by substituting the value of -2 for x in the original equation.
4 (x + 3) = 2x + 8
4 (-2 +3) = 2(-2) + 8
-8 + 12 = -4 + 8
4 = 4
4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."
Second, we want to solve the equation:
4 (x + 3) = 2x + 8
4x + 12 = 2x + 8
2x + 12 = 8 <-------subtract 2x from both sides of the equation.
2x = -4 <-------subtract -12 from both sides
x = -2 <-------divide both sides by 2 which leaves a negative answer
Third, we want to check the answer by substituting the value of -2 for x in the original equation.
4 (x + 3) = 2x + 8
4 (-2 +3) = 2(-2) + 8
-8 + 12 = -4 + 8
4 = 4
Assuming that f and g are numbers/functions that represent the position of Achilles and the turtle, then the distance between two numbers/functions is given by the absolute value of their difference:
