Let's convert one of these numbers:
1 foot = 12 inches
9 feet were 9*12=108 inches
so the ratio would be 42: 108
or we can simplify it: divide by 2:
21:54
divide by 3:
7:18
A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
Answer:
5/6
Step-by-step explanation:
When adding fractions, you must ensure the denominator is the same in both fractions.
In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.
When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.
2/3 × 2/2 = (2×2)/(3×2) = 4/6
Replace 2/3 with its equivalent 4/6.
Now you will add the numerators together.
1/6 + 4/6 = (1+4)/6 = 5/6
Your final answer is 5/6
The correct answer is C.
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.
Let's find a^2 and b^2 by squaring the first 2 side lengths.
(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2
Then add the two to find c^2
x^4+ 2x^2 +1= c^2
Root both sides
x^2+1=c
Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
3×-1= -3 if u put it the other way it would will still be -3
