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velikii [3]
3 years ago
7

Is this right? and do you use not use the x-intercepts?

Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer:

You are correct.

Step-by-step explanation:

The x-intercept could be written the way you have or also it can be written as a point (-1, 0).

The y-intercept could also be written as a point (0, -2) But they are commonly written the way you have also.

So, the slope is -2. But just to be clear. That slope of -2 has nothing to do with the y-intercept of -2.

If you mark all the points on the line, to get from one point to the next point, you go down 2 and over (positive direction) 1. The down 2 in math is -2 and the over 1 is just 1. The slope is that ratio of -2/1.

Slope tells us if the line is going up or down, steep or flat, even horizontal. It was coincidence only that the y-intercept and slope were the same number.

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3 years ago
A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl
algol [13]

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

y^2 = 625-400 = 225

y=\sqrt{225} = 15 foot.

We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

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Step-by-step explanation:

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Step-by-step explanation:

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