Find the distance between two parallel lines l1:6x + 8y = 11 and l2:3x + 4y-15 = 0

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• 1. How many combinations can 123456 be composed of six numbers, such as 65432?
• 2. How to prove that a positive integer n is prime if it cannot be divided by any integer between 2 and root n
• 3. The distance between two parallel lines L1: 3x + 4Y + 2 = 0, L2: 6x + 8y-4 = 0 is ()
• 4. How many permutations are there in 123456
• 5. On the problem that C, a, B, C ∈ n *, C cannot be divisible by the square of prime number under the root sign of a + B. find a + B + C Eight spheres with radius of 100 are placed on a horizontal plane. Each sphere is tangent to two adjacent spheres, and their center is the eight vertices of a regular octagon. Now put the ninth sphere on this horizontal plane, so that it is tangent to the eight placed spheres. Let C, a, B, C ∈ n *, C be not divisible by the square of prime. Find a + B + C
• 6. If 2x-5y = 0 and X ≠ 0, then the value of 6x − 5y6x + 5Y is______ ．
• 7. There are 123456 six numbers in total. Every four numbers make up a group of numbers. At the same time, 6 can't be in thousand digits and 1 can't be in single digits. How many combinations are there? Except that 6 can't be in the thousand digits, all other digits are OK, just like 1. Hope to give the method
• 8. Why is there a number n? To judge whether it is prime, we only need to check whether n can be divided by the number between 2 and the root n
• 9. Let F 1 and F 2 be the left and right focal points of hyperbola x ^ 2 / 4-y ^ 2 = I respectively, and point P satisfy ∠ f 1pf 2 = 90 ° on the hyperbola, then the area of △ f 1pf 2 is
• 10. Use 123456 six digits to form six digits without repeated digits (1) how many are adjacent to 135 (2) how many are odd digits and even digits alternating?
• 11. If the product of some prime numbers is ± 1, the resulting number cannot be divisible by these prime numbers Is there any proof? If the product of some prime numbers is ± 1, the resulting number cannot be divisible by any of these prime numbers.
• 12. The sum of the two numbers is 250, where the quotient of the large number divided by the decimal is 21, and the remainder is 8
• 13. The ratio of the distance from the moving point P (x, y) to the vertex f (1,0) to the distance from it to the fixed line x = 4 is 1:2,
• 14. If a two digit number is not divisible by (), then it must be prime Ask which teacher to help answer, the answer has been known, but I do not know why, for the analysis process. Thank you!
• 15. A number is 1 / 9 of 32, 4 / 9 of this number is (), 21 times of the product of 3 / 7 and 2 / 3 is () A number is 1 / 9 of 32, 4 / 5 of this number is (), 21 times of the product of 3 / 7 and 2 / 3 is () Sorry, the wrong number just now.
• 16. Given the line 4x + 3Y + 6 = 0 and x = - 1, find the minimum of the sum of the distances between the moving point P on y ^ 2 = 4x and the two lines
• 17. Is 10001 a prime number? If not, by which numbers can it be divided?
• 18. 1+2-3+4+5-9+8+7-0+21
• 19. Trajectories of points equidistant from two straight lines 3x + 4Y + 5 = 0,4x-3y-7 = 0
• 20. Can many netizens prove a mathematical proposition: an odd number greater than 9 is prime if it can't be divided by any one of 3, 5, 7, 9