William can run 1/2 of a mile in 1/10 of an hour. How many miles can he run in one hour?
2 answers:
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Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:
The slope of the line that passes through (−12, 15) and (4, −5) is
The slope of the line going through (−8, −9) and (16, 21) is
The product of the two slopes is
Since
the two lines are perpendicular.
<h2>Answer: Lines b & c are parallel.⇄</h2>
Step-by-step explanation:
- When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
- When lines are parallel, they have the same slope.
Slope = ( y₂ - y₁) / (x₂ - x₁)
Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )
= 5 ÷ (- 8)
= - ⁵/₈
Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )
= - ⁵/₈
⇒ Line b ║ Line c
Total = Principal * e^(rate*years)
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 * <span> <span> </span></span> <span> <span> <span> 1.0832870677 </span> </span> </span>
Total = <span> <span> <span> 4,874.79 </span> </span> </span>
calculator for checking the answer:
http://www.1728.org/compint.htm
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 * <span> <span> </span></span> <span> <span> <span> 1.0832870677 </span> </span> </span>
Total = <span> <span> <span> 4,874.79 </span> </span> </span>
calculator for checking the answer:
http://www.1728.org/compint.htm