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3 years ago

Please help n show work

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

x = time in minutes

y = distance remaining

Steve starts at home when the time is x = 0 minutes. The y value y = 40 pairs up with this x value. This is shown by the point (0,40) on the diagonal line, aka the y intercept. The y intercept is where the line crosses the y axis.

The y = 40 indicates that Steve has 40 miles remaining when he starts at home. In other words, the distance from home to work is 40 miles.

The x intercept is where the diagonal line crosses or touches the x axis. The x intercept is (45,0) which represents the idea that 45 minutes have passed by. The y = 0 means that he has 0 miles left go to. Steve has reached the office at this point.

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Answers:

Steve's office is located 40 miles from home

It takes him 45 minutes to travel this distance

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Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

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Step 2:

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Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

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The difference in heights = The wall height in figure 2 - the wall height in figure 1.

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