Answer:
Step-by-step explanation:
We are given quadratic equations as
and it can be factored as
now, we can multiply factor term
now, we can compare
so, we get
we are given that
'a' and 'b' are integers
so, we can find all possible factors
so, we can find k
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
So, values of k are
8,500,000
Round the number 4 to 5 because the number 7 is behind it.
Answer: See explanation
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.
Triangle inequality: 1 < x < 7
Hope that helped!
Answer: 8:12 and 36:54
Step-by-step explanation:
Let's take a peek at the denominators first off, and do a "prime factoring" on them.
25 = 5 *
527 =
3 *
3 * 3
45 =
3 *
3 *
5
the numbers in bold are repeated there more than once among the factors, and therefore we'll use them once, so our LCD will be 5 * 5 * 3 * 3 * 3, or 675.
