Answer:
Step-by-step explanation:
The permiter of a rectangle got be determined by the following equation:
P = 2L + 2W
where P is the perimeter, L is the length of the rectangle, and W is the width of the rectangle.
From the problem statement, we know that P = 60, and that the length is twice the width, so we have the following two equations:
60 = 2L + 2W
L = 2W
If we substitute the second equation into the first, we have the following:
60 = 2(2W) + 2W
60 = 4W + 2W
60 = 6W
10 = W
Plugging this value back into the second equation, we have the following:
L = 2W
L = 2(10)
L = 20
The area of a rectangle is determined by the following:
A = LW
where A is the area.
Plugging in the values that we determined previously we give you the answer.
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
A and D
should be the answers.
Answer: yes. They all add up to 79
Step-by-step explanation:
Answer:
36 is the answer for this problem