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2 years ago

Hi! 6 questions, find the slope of the line through the given points, ty! They should be practice questions

Mathematics

1 answer:

denis23 [38]2 years ago

7 0

Answer:

3. undefined (vertical line)

4. 1

7. -4

8. 3

11. undefined (vertical line)

12. -1/3

Step-by-step explanation:

You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)

3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)

4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1

7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4

8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3

11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line

12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3

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3 years ago

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3 years ago

Read 2 more answers

5) Find the common ratio and the next term.<br> 512, 128, 32, 8,

serious [3.7K]

Answer:

The common ratio is $\frac{1}{4}$

The next term in the sequence is 2

Step-by-step explanation:

In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:

common ratio $r=\frac{a_{n+1}}{a_n}$

This quotient should be true for any two consecutive terms in the sequence.

so using the first two terms, we find:

$r=\frac{a_{n+1}}{a_n}=\frac{a_{2}}{a1}=\frac{128}{512} =\frac{1}{4}$

You can test that this common ratio is true for all other terms listed:

$\frac{a_3}{a_2} =\frac{32}{128} =\frac{1}{4} \\\frac{a_4}{a_3} =\frac{8}{32} =\frac{1}{4} \\$

So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:

$a_5=8*\frac{1}{4} =2$

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3 years ago