The circle below is centered at (3, 1) and has a radius of 2. What is its
1 answer:
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Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
Answer:
An equation that indicates you can spend exactly $45 per day for rental fees is,
Step-by-step explanation:
Let x represents the days and y represents total the rental fees.
As per the statement:
you can spend exactly $45 per day for rental fees.
In 1 day you spend = $45 rental fees.
then
in x days = 45 x
we have to find an equation that indicates you can spend exactly $45 per day for rental fees
since, y represents the total rental fees,.
⇒ y= 45x
Therefore, an equation that indicates you can spend exactly $45 per day for rental fees is,
Answer:
D. The sum of twice number and six is no more than five.
Step-by-step explanation:
In the inequality,
The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).