Answer:
the correct option is D (12 units, 14 units, 10 units)
Step-by-step explanation:
P= 36
2t + 2 + 2t + 4 +2t = 36
combine like terms
6t + 6 = 36
subtract 6 from both sides
6t = 30
30/6 = 5
T = 5 so plug the t in the other equations
2(5) + 2 = 10 + 2 = 12
2(5) + 4 = 10 + 4 = 14
2(5) = 10
To check combine all the numbers above and you would get 36
Answer: 128 
Step-by-step explanation:
Let the width be W then the length will be 2W since it is twice as long as it width.
The formula for calculating the perimeter of a rectangle is given by :
P = 2 ( L + W )
48 = 2 ( W + 2W )
48 = 2(3W)
48 = 6W
Divide through by 6
Therefore:
W = 48/6
W = 8 inches
This means that the Length is 2 x 8 = 16 inches
Area = Length x breadth
Area = 16 x 8
Area = 128 
Answer:

Step-by-step explanation:
We are given the equation:

Where <em>a</em>, <em>b</em>, and <em>c</em> are solutions to the equation and where <em>a</em> < <em>b</em> < <em>c</em>, we want to determine the value of 10<em>c</em> - 6<em>a</em>.
To find the solutions of the equation, we can factor:

From the Zero Product Property:

Solve for each case:

We can see that -5/3 < 0 < 10. Thus, <em>a</em> = -5/3, <em>b</em> = 0, and <em>c</em> = 10.
Therefore:
