Answer:
53.13
Step-by-step explanation:
Answer:
71
Step-by-step explanation:
Add 46 to each number, see if the sum is in the list. In the set of 7 numbers listed, two of them are even (24 and 38), and the other 5 numbers are odd
71
We do not need to look at all differences.
We need to find two numbers fairly far appart,
and not all look promising.
You could look at approximate differences,
or you could look at the last digit.
71-35 and 63-17 are the only promising differences,
because 71 and 63 are the only numbers large enough to be 46 more than another number in that list,
and when you calculate the last digit you calculate
11-5=6 and 13-7=6.
71-35=36
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
