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3 years ago

What is the slope of the line y= 7x + 19 (5)

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

6 0

Answer M=7

Explanation

vagabundo [1.1K]3 years ago

5 0

Answer:

The answer is m = 7

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b , where m is the slope and b is the y-intercept.

y = mx + b

Multiply 19 by 5.

y = 7x + 95

Using the slope-intercept form, the slope is 7 .

m = 7

I hope this helps.

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4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

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Answer:

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3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

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