Answer:
The simplified form of the given expression is 12(m -n).
Step-by-step explanation:
The given expression is
We need to simplify the given expression.
Rearrange the terms according to the variables.
On combining like terms, we get
On simplification, we get
Taking GCF common.
Therefore the simplified form of the given expression is 12(m -n).
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
