Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
The answer is (-2,-3) Thank you and please rate if I helped you! Thanks again!
Answer:
9x² -6xy +y²
Step-by-step explanation:
The square of the binomial can be written directly using the relationship ...
(a +b)² = a² +2ab +b²
where you have a=3x and b=-y.
area = (3x -y)² = (3x)² + 2(3x)(-y) + (-y)²
area = 9x² -6xy +y²
Answer:
-914
Step-by-step explanation:
f(n)=-5f(n-1)-n
f(2)= -5f(1) -2 = -5(7) - 2 = -37
f(3) = -5f(2) - 3 = -5(-37) - 3 = 182
f(4) = -5f(3) - 4 = -5(182) - 4 = -914
