twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels
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Turn y - 4 = -2/3(x - 6) into a linear equation.
y - 4 = -2/3(x - 6)
y - 4 = -2/3x + 4
+4 +4
y = -2/3x + 8
The equation that is perpendicular to y = -2/3x + 8 is y = 3x + 4 as shown in the image below using a graph.
Let assume that is a rational number. Therefore it can be expressed as a fraction
where
and
.
This means that is divisible by 7, and therefore also
is divisible by 7.
So, where
Analogically to -------
is divisible by 7 and therefore so is
.
But if both numbers and
are divisible by 7, then
which contradicts our earlier assumption that
.
Therefore is an irrational number.