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Natasha2012 [34]
3 years ago
9

Use the distance formula d = rt to find the unknown value d = 405 mi t = 7.5 h

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

r = 54 miles per hour

Step-by-step explanation:

Since we have been given the values for two of the unknowns, we can substitute them into the equation to find the third.

d = 405

t = 7.5

d = rt

405 = r (7.5)

405=7.5r

Now to find r, we need to get it by itself on one side so we have r = ...

We can do this by dividing 7.5 from both sides of the equation as this will cancel out the 7.5, leaving us with the r value, and everything you do to one side of an equation must also be done to the other side.

405/7.5=7.5r/7.5

54=r

The unknown value 'r' = 54

Since 'r' stands for 'rate', the units given must be appropriate for speed. As the distance was given in miles, and the time in hours, the unit for 'r' must be miles/hour. Therefore r=54miles/hour.

Hope this helped!

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Delvig [45]

The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

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If  \theta is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

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The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

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Equation of required line

y - 33 = 3(x - 8)

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To learn more about equation of line in slope intercept form, refer to the link:

brainly.com/question/25514153

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