If P is directly proportional to Q. And Q = 30 when P = 40. Find Q when P = 70
1 answer:
Answer:
Q = 52.5
Step-by-step explanation:
given P is directly proportional to Q then the equation relating them is
P = kQ ← k is the constant of proportion
to find k use the condition Q = 30 when P = 40 , then
40 = 30k ( divide both sides by 30 )
=
= k
P = Q ← equation of proportion
when P = 70 , then
70 = Q ( multiply both sides by 3 to clear the fraction )
210 = 4Q ( divide both sides by 4 )
52.5 = Q
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Answer:
Parallel lines
Step-by-step explanation:
Line BC:
Line AD:
Adding both equations, in this case, gives us the point at which the lines intersect:
Since zero will never equal fourteen, the equation above means that lines BC and AD will never intersect. When two lines have no point in common, they are said to be parallel lines.