Answer: The last expression shows the result of 3 so it models the distance between x and y.
Step-by-step explanation:
First you will have to find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .
-4 - (-1) = -3
-5 - ( -5) = 0
-3^2 + 0^2 = d^2 where d is the distance
9 = d^2
d= 3
The distance is 3 units
Now evaluate which expression have a solution as 3.
The last expression is the answer
the absolute value for -4 is 4 , and the absolute value for -1 is 1 and 4 minus 1 is 3.
Answer:
There are a total of 2011 integer divisors.
Step-by-step explanation:
The only primes p such that 1/p has finite spaces after the coma are 2 and 5. If we divide a number with last digit odd we will obtain 1 extra digit after the decimal point and if we divide a number by 5 we will obtain 1 more digit if that number has a last digit in the decimal which is not a multiple of 5.
If we take powers of those primes we will obtian one more digit each time. In order to obtain more digits it is convinient to divide by a power of 2 instead of a power of 5, because the resulting number will be smaller.
If we want 2010 digits after the decimal point, we need to divide 1 by 2 a total of 2010 times, hence f(2010) = 2²⁰¹⁰, which has as positive integer divisors every power of 2 between 0 and 2010, hence there are a total of 2011 integer divisors of f(2010).
Answer:16
Step-by-step explanation:
It's along the number line