Write an equation of the line passing through point p that is parallel to the given line.
1 answer:
Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
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126 liters of pure water should be added
<em><u>Solution:</u></em>
Let "x" be the liters of pure water
Then, 18 + x is the liters of final solution
18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used
Pure water is 100%
Then according to question, we can say,
"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water
Thus we frame a equation as:
Equation:
water + water = water
Thus 126 liters of pure water should be added