12, or -12
12*12 = 144
-12*-12 = 144
Answer: The prime factorization of 15 is: 3 x 5. The prime factorization of 18 is: 2 x 3 x 3. The prime factors and multiplicities 15 and 18 have in common are: 3. 3 is the gcf of 15 and 18.
Step-by-step explanation:
12.42
12°+.42(60)
12°25.2'
12°25'+.2(60)
12°25'12"
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.
2/10 = x/5
Now, we can use cross products to simplify this proportion. Cross products sets the products of the numerator and denominator of separate fractions equal to one another. It results in the equation:
(5)(2) = (10)(x)
Let's multiply out these numbers to further simplify the equation.
10 = 10x
Finally, we have to divide both sides by 10, to get our variable x alone
x = 1
Therefore, 2 tenths is equal to 1 fifth.
Answer:
The quotient of the rational function is 
.
Step-by-step explanation:
We proceed to solve the expression by solely algebraic means below:
1) 
Given
2) 
Modulative property
3) ![\frac{(3\cdot x +5) + [1+(-1)]}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5Ccdot%20x%20%2B5%29%20%2B%20%5B1%2B%28-1%29%5D%7D%7Bx%2B2%7D)
Existence of additive inverse/Associative property
4) 
Definition of addition/Commutative and associative properties
5) 
/ 
/Distributive property
6) Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result
The quotient of the rational function is .
