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3 years ago

The lines shown below are parallel. If the green line has a slope of -3/7, what is

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer: the slope of green line = $-\frac37$

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = $-\frac37$

Then, the slope of green line = $-\frac37$ [Slopes of two parallel lines are equal]

Hence, the slope of green line = $-\frac37$

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3 years ago

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Step-by-step explanation:

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3 years ago

If it took Carlos 30 minutes to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 mi

Ivanshal [37]

Answer:

1) No

2) Yes

Step-by-step explanation:

Given : If it took Carlos 30 minutes to cycle from his house to the library yesterday.

To find : Was the distance that he cycled greater than 6 miles?

Solution :

The relation between speed , distance and time is

$\text{Distance}=\text{Speed}\times \text{Time}$

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

Speed = 16 feet per second

Converting into miles, $s=\frac{16}{5280}$

Time = 30 minute

Converting into seconds, $t=30\times 60$

The distance he covered is

$\text{Distance}=\frac{16}{5280}\times30\times 60$

$\text{Distance}=5.45\text{ miles}$

No, the distance that he cycled is not greater than 6 miles.

2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.

Speed = 18 feet per second

Converting into miles, $s=\frac{18}{5280}$

Time = 30 minute

Converting into seconds, $t=30\times 60$

The distance he covered is

$\text{Distance}=\frac{18}{5280}\times30\times 60$

$\text{Distance}=6.13\text{ miles}$

Yes, the distance that he cycled is greater than 6 miles.

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3 years ago