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3 years ago

Calculate the speed traveled for each situation below and then put them in

1 answer:

8 0

<h3><u>Put them in order from least to greatest</u></h3><h3>Moving 12 km in 40 minutes = 0.3 km/min</h3><h3>Moving 6 km in 15 minutes = 0.4 km/min</h3><h3>Moving 10 km in 20 minutes = 0.5 km/min</h3><h3>Moving 18 km in 30 minutes = 0.6 km/min</h3>

<em><u>Solution:</u></em>

<em><u>The speed is given by formula:</u></em>

$speed = \frac{distance}{time}$

<em><u>Moving 12 km in 40 minutes</u></em>

$speed = \frac{12}{40} = 0.3\ km/min$

<em><u>Moving 18 km in 30 minutes</u></em>

$speed = \frac{18}{30} = 0.6\ km/min$

<em><u>Moving 6 km in 15 minutes</u></em>

$speed = \frac{6}{15} = 0.4\ km/min$

<em><u>Moving 10 km in 20 minutes</u></em>

$speed = \frac{10}{20} = 0.5\ km/min$

<em><u>Put them in order from least to greatest</u></em>

Moving 12 km in 40 minutes = 0.3 km/min

Moving 6 km in 15 minutes = 0.4 km/min

Moving 10 km in 20 minutes = 0.5 km/min

Moving 18 km in 30 minutes = 0.6 km/min

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zalisa [80]

The equations of the lines l1 with points (-2, 5), and (-1, -10) and the line l2 with points (5, 15), and (3, 8), gives the coordinate of the intersection between the lines as the point; (-45/37, -250/37)

<h3>Which method can be used to describe the lines to find the intersection point?</h3>

The slope, m1, of line 1 l1 is found as follows;

m1 = (5 - (-10))/(-2- (-1)) = -15

The equation of line l1 in point and slope form is therefore;

y1 - 5 = -15•(x - (-2))

Which gives;

y1 = -15•(x - (-2)) + 5 = -15•x - 25

y1 = -15•x - 25

The slope, m2, of line 2 l2 is found as follows;

m2 = (15 - 8)/(5 - 3) = 3.5

Equation of line l2 is therefore;

y2 - 15 = 3.5•(x - 5)

Which gives;

y2 = 3.5•(x - 5) + 15 = 3.5•x - 2.5

y2 = 3.5•x - 2.5

At the intersection point, we have;

y1 = y2

Therefore;

-15•x - 25 = 3.5•x - 2.5

18.5•x = -22.5

x = -22.5/18.5 = -45/37

y2 = 3.5•x - 2.5

At the intersection point, we have;

y = y2 = 3.5×(-22.5/18.5) - 2.5 = -250/37

y = -250/37

The coordinates of the intersection between the lines is therefore;

(-45/37, -250/37)

Learn more about the equation of a straight line here:

brainly.com/question/13763238

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