Every year Veronica receives $30 for her birthday, plus $2 for each year of her age. Lacey receives $20 for her birthday and $4
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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
Limit Rule [Variable Direct Substitution Exponential]:
Limit Property [Multiplied Constant]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve</u>
- Rewrite [Limit Property - Multiplied Constant]:
- Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e