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Rufina [12.5K]
3 years ago
13

a line has a slope of 2 and goes through the point (0,5) write the equation for the line in slope-intercept form

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

y=2x+5 is the answer

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

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Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

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⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

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Hence, the total distance from home to New York = x miles = 360 miles

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⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

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Change 3 to 5 in exercise 4
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