Answer:
The corresponding divisor (12) is the GCF of 36 and 84.
2nd answer
LCM = 252
Step-by-step explanation:
Divide 84 (larger number) by 36 (smaller number). Since the remainder ≠ 0, we will divide the divisor of step 1 (36) by the remainder (12). Repeat this process until the remainder = 0. The corresponding divisor (12) is the GCF of 36 and 84.
2nd answer step
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3 Find the prime factorization of 84 84 = 2 × 2 × 3 × 7 Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 3 × 7 LCM = 252
We can represent the width as x and the length as x+5. Then we can make the area formula A=(x)*(x+5), plug in 36 for A, and solve for x
36=x^2+5x (distribute)
0=x^2+5x-36
0=(x+9)(x-4)
So x=-9 and 4 but dimensions can't be negative so x=4
So if the width is 4, then the length is 9 (4+5)
Hope this helps :)
If x = -b/2a, then 2a = -b / x so a = -b / 2x or a = b / -2x
So the denominator is -2x because it has to take the minus sign that the numerator refused to take ;-)
The answer to this is five
First we have to combine like terms. 4x² is one term. -8x is another term. -7 is another term. poly = "many" ⇒ polynomial = many terms
(4x² - 8x - 7) + (-5x + 16)
4x² - 8x - 7 - 5x + 16
Combine like terms.
Step 1: 4x² has no other terms with x² so it stays by itself.
Step 2: -8x and -5x are like terms because they both have x.
So -8x -5x = -13x (You put two negatives together)
Step 3: -7 and 16 don't have any x with them. -7 + 16 = 16 - 7 = 9
Now we put all the answers of the steps together.
Step 1: 4x²
Step 2: -13x
Step 3: 9
So the answer is 4x² - 13x +9
And it's a polynomial because there are three terms = "more than one term"
