Answer:
b = c − 2a
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2
Step-by-step explanation:
2a + 2b = c
2b = c − 2a
b = c − 2a
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2
Answer:
Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)
Find the common difference.
Step-by-step explanation:
Answer:
$500
Step-by-step explanation:
She pick in $400, she took that $400 out so she would then have $0
She then inserted $500 back in with no money previously
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.)