I need help with fractions and mixed numbers

330

Step-by-step explanation:

A number is divisible by 3 if you add up its digits and that is divisible by 3.
Example: 7263 is divisible by 3 because 7+2+6+3 = 18 and 18 is divisible by 3.

A number is divisible by 9 if you add up its digits and that is divisible by 9.
Example: 7263 is divisible by 9 because 7+2+6+3 = 18 and 18 is divisible by 9.

A number is divisible by 6 if it is an even number AND it is divisible by 3.
Example: 7263 is divisible by 3 because 7+2+6+3 = 18 and 18 is divisible by 3, but 7263 is not even, so it is not divisible by 6.
Example: 7362 is divisible by 3 because 7+3+6+2 = 18 and 18 is divisible by 3 AND 7362 IS even, so 7362 is divisible by 6.

Step-by-step explanation:

We have to prove that perpendicular lines have opposite and reciprocal slopes.

One line passes through two points S(-5, 2) and R(-2, 5)

So slope of this line will be

m₁ =

    =

m₁ = 1

Now another line passes through two points U (2, 5) and V (5, 2)

So slope of this line will be

m₂ =

     =

     = -1

Now m₁ × m₂ = 1 × (-1)

                     = (-1)

Therefore, m₁ =

Hence it is proved that perpendicular lines have opposite and reciprocal slopes.