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
Answer:
x=10
Step-by-step explanation:
Because these are vertical angles, they will be congruent.
Ask yourself, "What times 3 is thirty?" or 30÷3=?
Your answer will be 10.
66 is the 100%
we can solve this problem by the rule of three.
Therefore:
66------------------------100%
x--------------------------150%
x=(66 * 150%) / 100%=99
Answer 150% of 66 is 99.
Other method:
150% of 66=1.5 *66=99
Answer: 150% of 66 is 99.
The answer is about 113.1 feet squared
In scientific notation, it would be 2x10^3.
An easy trick to help remember when it is a multiple of 10 is that you do the numbers that aren't zero (2) times 10 and the exponent is how ever many zeros there are after the other numbers (3).