In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

2 years ago

Determine the implied domain of the following function. Express your answer in interval notation.

Mandarinka [93]

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

6 0

2 years ago

Figure 222 is a scaled copy of Figure 111.

VARVARA [1.3K]

The correct answer is going to be D.

8 0

1 year ago