A 2 binomial main root word is bi which means 2
Length = 6x - 12
Width = x
Area of a rectangle:
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
Answer:
Step-by-step explanation:
Let the sides be a, b and c.
<h3>Given</h3>
The length of one side of a triangle is 2 feet less than three times the length of its second side
The length of the third side is 3/4 of the sum of the lengths of the first two sides:
The perimeter of the triangle is 17.5 feet:
<h3>Solution</h3>
Substitute a with b in the second equation:
- c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5
Now substitute a and c with b in the third equation and solve for b:
- 3b - 2 + b + 3b - 1.5 = 17.5
- 7b - 3.5 = 17.5
- 7b = 17.5 + 3.5
- 7b = 21
- b = 3
Find the value of a:
- a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7
Find the value of c:
- c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5
The sides of the triangle are:
- a = 7 feet, b = 3 feet, c = 7.5 feet
You did it right because 12 x 2 = 24 x 8 = 192