perp to x-3y=2 thru (2,4)
For perpendicular we swap the coefficients on x and y, negating one
3x + y = some constant
We get the constant in the obvious way from the point
3x + y = 3(2) + 4 = 6 + 4 = 10
Answer: 3x + y = 10
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Answer:
156.8
Step-by-step explanation:
156.78 ≈ 156.8
tenth place is 7.
After 7 we see 8, so we need increase 7 by 1.
If after the digit there are 0,1,2,3,4 the digit stays the same'
If 5,6,7,8 ,9 the digit should be increased by 1.
2 5/16 divided 7/8
Simplify
(37/16) / (7/8)
When dividing by a fraction flip over the fraction and multiply
(37/16) * (8/7)
Multiply numerators, multiply denominators
296 / 112
Reduce the fraction
37/14
=2 9/14 <------------- answer
