In my block of 100 flats a painter is kept employed by painting one flat each month from january to november. the flats are painted in the same order and he takes a holiday every december. if my flat was last painted in august 2010 when will it be next painted?

January to November == 11 months.

11 flats are painted every year.

100 flats / 11 flats per year = 9 years + 1 month 

the next time it will be painted is September 2019.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

6mm^3 or .6cm^3

      216

      /   \

  36     6

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6     6   6

factor trees are nice.