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Answer:
Step-by-step explanation:
the expression we have is:
To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:
so we substitute this:
and now we have 1/12 in both terms :
so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):
the equivalent expression is:
Answer:
Perpendicular
Step-by-step explanation:
To tell if the lines are perpendicular/parallel, you must look at the slope, but in this case, you must first get y by itself, like so:
3x + 7y = 15
-3x - 3x
___________
7y = -3x + 15
<em><u>Divide both sides by 7:</u></em>
y =
<em><u>Now the other equation:</u></em>
7x - 3y = 6
-7x -7x
_________
-3y = -7x + 6
<em><u>Divide both sides by -3:</u></em>
y =
You can see that the lines are perpendicular because the slopes ( and
) are opposite reciprocals.