A bag contains 10 marbles: 2 are green, 6 are red, and 2 are blue. Ivanna chooses a marble at random, and without putting it bac
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To solve the problem we must know about quadratic equations.
<h2>Quadratic Equation</h2>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
The breadth of the rectangle is 200 ft, while the length is 210 ft.
<h2>Explanation</h2>Given to us
- Area of the parking lot = 42,000 ft²
- Perimeter of the parking lot = 820 ft
Area of the parking lot = Area of the rectangle
42,000 ft² = Length x Breadth
Solving for L,
Perimeter of the parking lot = Perimeter of the rectangle
820 ft. = 2(Length + Breadth)
820 ft. = 2(L+ B)
Substituting the value of L,
Solving the quadratic Expression,
Equation the factors against zero,
B-210=0
B = 210
B-200=0
B = 200
Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.
Learn more about Quadratic Expression:
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let where k is an integer
Then, which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is , 2 is even.
The sum is , 6 is even.