Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
Answer:
Step-by-step explanation:
24 is a composite number.
Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3
The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6
The answer is four because you solve simplify the equation given and W could equal 4 or -5, and since the width can not be a negative number it has to be 4.
Answer:
x = -2 and y = 0
Step-by-step explanation:
5x + y = -10
4x - 7y = -8
Rearrange the first equation to equal y.
5x + y = -10
y = -10 - 5x
Replace y in the second equation with the first equation.
4x - 7y = -8
4x - 7(-10 - 5x) = -8
4x - (-70 -35x) = -8
4x + 70 + 35x = -8
Rearrange the equation to find x.
4x + 35x = -8 - 70
39x = -78
x = -2
Now that you know x, use the rearranged first equation to find y.
y = -10 - 5x
y = -10 - 5(-2)
y = -10 + 10
y = 0
Answer:
14
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 + 20) / (5 - 3)
28 / 2
= 14
So, the slope is 14.
