The area of a rectangle is calculated through the equation, V = L x W. That of the circle is equal to V = πr². These areas should be equal,
V = L x W = πr²
Substituting the known values,
2 ft x 11 ft = (22/7)(r²)
The value of r is sqrt 7.
2000 is the correct answer hope this helps! :D
Which of the following characteristics of the set {(0 , 8), (8 , 0), (1 , 6), (6 , 1), (2 , 4), (4 , 2)} make it a function?
photoshop1234 [79]
Answer:
C
Step-by-step explanation:
For a relation to be a function, the ordered pairs do not repeat any of the x values. This is Answer C.
Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
