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ANSWER
EXPLANATION
We want to simplify the expression,
Let us expand the bracket to obtain,
We now group the complex number parts and real number parts.
We simplify further to obtain,
This is in the form,
where
and
EXPLANATION
We want to simplify the expression,
Let us expand the bracket to obtain,
We now group the complex number parts and real number parts.
We simplify further to obtain,
This is in the form,
where
and
Answers:
Line A is parallel to line D.
Line A is perpendicular to line C.
Line C is perpendicular to line D.
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Explanation:
Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)
The slope of line A is 7
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Now let's find the slope of line B.
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Now onto line C.
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Lastly we have line D.
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Here's a summary of the slopes we found
Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.
Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.
Lines C and D are perpendicular for the same reasoning as the previous paragraph.
Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.
You can use a graphing tool like Desmos or GeoGebra to verify these answers.