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stepladder [879]

3 years ago

8

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

line segment.
This is very easy, i added multiple choice myself. I am offering 100 points meaning 50 for each answer DON'T WASTE MY POINTS ANSWERS WILL BE REMOVED!!
Do not guess too!

Thanks, Luis

1 answer:

emmasim [6.3K]3 years ago

5 0

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

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Answer: 10:55

Step-by-step explanation:

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The time the buses will be back at the depot simultaneously will be when:

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3 years ago

What is between 3/8 and 7/16

Anit [1.1K]

Answer:

13/32 is one of the numbers between 3/8 and 7/16

Step-by-step explanation:

The set of rational numbers is very dense.

For any given two rational numbers, we can find infinitely many rational numbers between them.

Similarly, there are many rational numbers between 3/8 and 7/16.

One of them is the number in the middle.

To find it add and divide the result by 2.

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3 years ago

What is the positive solution to this equation?<br><br> 3x^2+16x=112

ikadub [295]

Answer:

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Step-by-step explanation:

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goldenfox [79]

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4 years ago

Give the number to which the Fourier series converges at a point of discontinuity of f.

quester [9]

Answer:

The Fourier series of f(x) converges to 3 at the points x= π+2kπ, where k is an integer.

Step-by-step explanation:

First, recall that the function f(x) is extended 2π periodic to the whole real line, in order to obtain a valid Fourier expansion. Remember that a Fourier series is formed by a sines and cosines, which are 2π-periodic.

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Here we understand the notation $f(x+)$ and $f(x-)$ as

$f(x_0+) = \lim_{x\rightarrow x_0}f(x), x>x_0$

and

$f(x_0-) = \lim_{x\rightarrow x_0}f(x), x$ .

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$f(\pi-) = \lim_{x\rightarrow \pi}(3-2x) = 3-2\pi, x$ .

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