You would need to multiply one or both equations by a number that would give the the same number but opposite signs so that they cancel out.
line t has an equation of y=1/9x-9. Line u includes the point (4,1) and is parallel to line t. What is the equation of line u?
1 answer:
Answer:
The equation of line 'U' is;
y = + 5
Step-by-step explanation:
A line 'T' has an equation; y = x - 9
A line 'U' passes through point (4,1) and is parallel to the line 'T'
We are to find the equation of line 'U'.
The slopes of two parallel lines are equal.
The slope of line 'T' is and so the slope of line 'U' is
Since line 'U' passes through point (4,1) , we choose another point (x,y) still on the line.
Slope = change in y ÷ change in x
=
Cross-multiplying gives;
9y - 9 = x - 4
9y = x - 4 + 9
9y = x + 5
y = + 5 (and this is the equation of line 'U')
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Given:
Reservation fee = $19
Additional fee = $6 per hour
The chemistry club wants to spend at most $19 on renting the room.
To find:
The possible numbers of hours the chemistry club could rent the meeting room.
Solution:
Let n be the number of hours the chemistry club could rent the meeting room.
Reservation fee = $19
Additional fee for one hour = $6
Additional fee for n hours = $6n
Total fee = $(6n+19).
The chemistry club wants to spend at most $19 on renting the room. It means the total fee must be less than or equal to 19.
Subtract 19 from both sides.
Divide both sides by 6.
Time can not be negative. So n=0.
Therefore, the possible numbers of hours the chemistry club could rent the meeting room is 0.
Answer:
13/50
Step-by-step explanation: