The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any 
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have 
so
The square root -38 is sqrt(38)i, or approximately 6.2i.
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.
In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.
Out of the given options:
y + 2 = -3(x — 4)
y = -3x - 5
are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).
Therefore, the correct answers are Options 1 and 3.
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B. same angle, congruent
c. both angles are 90 degrees so it equals 180 when added together
e. congruent angles
g. supplement means when 2 angles have a sum of 180 and since both are 90 it has a sum of 180
h.
