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3 years ago

Consider the line y=2/3x-4

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

7 0

Answer:

parallel 2/3 slope

perpendicular -3/2

Step-by-step explanation:

in parallel lines the slope is the same

perpiticula lines are the opposite recipical

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3 years ago

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lesantik [10]

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What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y +1 = 0?

tamaranim1 [39]

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3 years ago

17 = a - 3 - За<br> Answer pleassse

Shkiper50 [21]

Answer:

-10 = a

Step-by-step explanation:

17 = a - 3 - За

Combine like terms

17 = -3 -2a

Add 3 to each side

17+3 = -3-2a+3

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3 years ago

Read 2 more answers

Which of the following is an arithmetic sequence?

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle \frac{4}{3} - 4 = -\frac{8}{3}$ .
$\displaystyle \frac{16}{3} - \frac{4}{3} = \frac{12}{3} = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

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3 years ago