Tim runs 3 miles every 45 minutes. At this rate, how long did it take Tim to run 18 miles?

Mathematics

1 answer:

geniusboy [140]3 years ago

7 0

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18 and 45 x 6= 270

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Given h(x) = -x + 2, find h(2)

Temka [501]

Answer:

h(2) = 0

Step-by-step explanation:

To evaluate h(2) , substitute x = 2 into h(x), that is

h(2) = - 2 + 2 = 0

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3 years ago

If the slope is 2 and the line goes through (3,-3) what is the equation?

motikmotik

Answer:

$y = 2x -9$

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

$y = 2x$

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

$y = 2 * 3$

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

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3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed

Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

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Let the shadow height = Y

Now solve for the $dy/dt$ when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

$\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s$