Answer:
Width is 10ft and length is 6ft.
Step-by-step explanation:
The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.
![A = l*w\\60 = w(w -4)\\60 = w^2-4w](https://tex.z-dn.net/?f=A%20%3D%20l%2Aw%5C%5C60%20%3D%20w%28w%20-4%29%5C%5C60%20%3D%20w%5E2-4w)
Subtract 60 from both sides and factor the quadratic to solve for w.
![w^2 -4w - 60 = 0\\(w-10)(w+6) = 0](https://tex.z-dn.net/?f=w%5E2%20-4w%20-%2060%20%3D%200%5C%5C%28w-10%29%28w%2B6%29%20%3D%200)
Set each factor equal to 0 and solve.
w - 10 = 0 so w = 10
w + 6 = 0 so w = -6.
Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.
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The answer to this problem is 75%
The answer is Yes, you can factor this equation.
Answer:
90 different ways
Step-by-step explanation:
We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.
To solve this problem, we need to calculate a permutation of 10 choose 2.
The formula for a permutation of n choose p is:
![P(n, p) = n! / (n - p)!](https://tex.z-dn.net/?f=P%28n%2C%20p%29%20%3D%20n%21%20%2F%20%28n%20-%20p%29%21)
So we have:
![P(10, 2) = 10! / (10 - 2)!](https://tex.z-dn.net/?f=P%2810%2C%202%29%20%3D%2010%21%20%2F%20%2810%20-%202%29%21)
![P(10, 2) = 10! / 8!](https://tex.z-dn.net/?f=P%2810%2C%202%29%20%3D%2010%21%20%2F%208%21)
![P(10, 2) = 10*9 = 90](https://tex.z-dn.net/?f=P%2810%2C%202%29%20%3D%2010%2A9%20%3D%2090)
So there are 90 different ways of choosing a president and a vice-president.