I started out trying to subtract a prime number from 85, and then
see whether I had a prime number remaining. I did this several
times, before I slapped myself upside the head.
-- 85 is an odd number.
-- To get an odd-number for a sum, you have to add one odd number
to one even number ... there's no other way.
-- So one of the prime numbers we're looking for must be
an even number.
-- The ONLY even number that's a prime number is ' 2 '.
So it must be one of them.
-- Subtract 2 from 85, and you have 83 left.
Is 83 a prime number ? Yes.
-- So the two numbers are 2 and 83.
If 83 were not a prime number, this wouldn't work, and I would have said
"There is no such pair of numbers.". That means it doesn't necessarily work
for every odd number.
Examples:
75 ===> 2 and 73 . \
55 ===> 2 and 53 . \
45 ===> 2 and 43 . \
Both primes. It works.
65 ===> 2 and 63 . 63 is not a prime. \
35 ===> 2 and 33 . 33 in not a prime. \
It doesn't work.
Answer: a₁₁ = -11 a₁₂ = -16 a₁₃ = 6 a₁₄ = -10
<u>Step-by-step explanation:</u>
"A" represents the following matrix of unknown values [a₁₁ a₁₂ a₁₃ a₁₄]
[a₁₁ a₁₂ a₁₃ a₁₄] + [11 17 -8 13] = [0 1 -2 3]
a₁₁ + 11 = 0 --> a₁₁ = 0 - 11 = -11
a₁₂ + 17 = 1 --> a₁₂ = 1 - 17 = -16
a₁₃ + -8 = -2 --> a₁₃ = -2 + 8 = 6
a₁₄ + 13 = 3 --> a₁₄ = 3 - 13 = -10
Answer:
23/30 L
Step-by-step explanation:
4/15=8/30
1/2=15/30
8+15=23/30
Answer:
B) 24 degrees
Step-by-step explanation:
As this is a right angle with a total of 90 degrees you would first minus 42 from 90, which gives you 48. This now leaves you with just the 2x. As we know that 2x is 48 to work out x you would simply divide 48 by 2, which gives you 24.
1) Minus 42 from 90.
2) Divide 48 by 2.
Answer:
y = 5s, s = 2
y = 5(2)
y = 10 is the solution
Step-by-step explanation:
