Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the
1 answer:
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Answer:
Step-by-step explanation:
Let the equation of the line be where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:
A point on the unknown line is:
Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,
Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,
The equation of a line perpendicular to the given line and passing through (4, -6) is .
Answer: <u>110 feet per second</u>
Step-by-step explanation:
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:
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:
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.
Answer:
y=2x+1, assuming my change in the reported data was correct.
Step-by-step explanation:
The data for x had one more entry than the values for y. I removed the second "0" so that the x and y points line up, as shown in the attached image. The data indicate a straight line, with a slope of 2 (y increases by 2 for every x increase of 1). The y-intercept is 1, as per the first data point (0,1).
