<span>Simplifying
3a2 + -2a + -1 = 0
Reorder the terms:
-1 + -2a + 3a2 = 0
Solving
-1 + -2a + 3a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1 + -3a)(1 + -1a) = 0
Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve:
Simplifying
-1 + -3a = 0
Solving
-1 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -3a = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3a = 0 + 1
-3a = 0 + 1
Combine like terms: 0 + 1 = 1
-3a = 1
Divide each side by '-3'.
a = -0.3333333333
Simplifying
a = -0.3333333333
Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve:
Simplifying
1 + -1a = 0
Solving
1 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1
Combine like terms: 0 + -1 = -1
-1a = -1
Divide each side by '-1'.
a = 1
Simplifying
a = 1Solutiona = {-0.3333333333, 1}</span>
The perimeter of a square with a side measurement of 6 inches is equal to 24 inches.
Answer:
B
Step-by-step explanation:
Circumference is equal to 
Although the question is not given,I can infere that you need to know the value of x, that is the widht of the frame.
Note that the dimensions of the rectangle covered by the frame are:
8 + 2x and 7 + 2x, meaning that the area covered by the whole figure is:
(8 + 2x) * (7 + 2x).
While the area of the picture is 8 in * 7 in = 56 in^2.
Then, you can state that the area of just the frame meets this equation:
area of the frame = area of the whole figure - area of the picture
34 = (8+2x)(7+2x) - 56
Now solve the equation, starting by expanding the product of the two parenthesis:
8*7 + 16x + 14x + 4x^2 - 56 = 34
4x^2 + 30x + 56 - 56 - 34 = 0
4x^2 + 30x - 34 = 0
Divide by 2 => 2x^2 + 15x - 17 = 0
Factor: (2x - 2)(x + 17/2) = 0
=> 2x - 2 = 0 => x = 1, and x + 17/2 = 0 => x = - 17/2.
Only x = 1 has a real physical meaning so, the solution is x = 1, which is the width of the frame.
Answer: the widht of the frame is 1 inch.
You can check: (8 + 2) (7 + 2) = (10)(9) = 90 = area of picture + the frame.
90 - 56 = 34 which is the area of the frame.
48/8 = 6 -- 6ft for one blanket
1 foot is approximately 0.333333 yards.
12 yds / 0.333333 yds = 36 ft.
36/ 6 = 6.
Six blankets can be made from 12 yards of fabric
