Consecutive numbers can be written as such:
n + (n + 1) = 73
Open the parentheses and simplify:
2n + 1 = 73
Subtract 1 from both sides:
2n = 72
Divide both sides by 2:
n = 36
The numbers are 36 and 37
Answer:
see explanation
Step-by-step explanation:
Assuming you are factoring the expression
Given
4y² + 26y + 30 ← factor out 2 from each term
= 2(2y² + 13y + 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.
product = 2 × 15 = 30 and sum = 13
the factors are 10 and 3
Use these factors to split the y- term
2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )
= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term
= (y + 5)(2y + 3)
Thus
4y² + 26y + 30
= 2(y + 5)(2y + 3)
3x is the least common denominators because you need to be able to make sure all other denominators can go multiple into it. Since the rest are just x, the largest number of 3x would be the denominator you want.
Answer:
c.
Step-by-step explanation:
Law of sines
=
A and B are angles.
a and b are sides opposite corresponding angles.