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3 years ago

Write a equation of a line that is perpendicular to y = -2/7x+9and pass through point (4,-6)

Mathematics

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

y = 7/2x - 20.

Step-by-step explanation:

The slope of the given line is -2/7, therefore the slope of the line perpendicular to it is - 1/ -2/7 = 7/2.

When x = -4, y = -6 so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:

y - y1 = m(x - x1)

y - (-6) = 7/2(x - 4)

y + 6 = 7/2x - 14

y = 7/2x - 20.

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Job a, $15/hour, job b, $12/hour, how many hours at each job to earn $360

stira [4]

Answer:

Job A, will take 24 hours and Job B, will take 30 hours

Step-by-step explanation:

12 X 30 = 360 and 15 X 24 = 360

7 0

2 years ago

Read 2 more answers

13/2 divided by 3/4

Juliette [100K]

Answer: 26/3

Step-by-step explanation: When dividing by a fraction, we can change

the division sign to multiplication and flip the second fraction.

So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.

So when dividing by a fraction, we can just multiply

by the reciprocal of that fraction or that fraction flipped.

Next we cross-cancel.

4 and 2 reduce to 2 and 1.

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3 years ago

Given f(x) =

sergejj [24]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.$

And we want to find:

$\displaystyle \lim_{x\to -1}f(x)$

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

$\displaystyle \lim_{x\to-1^-}f(x)$

Since we are approaching from the left, we will use the first equation:

$\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)$

By direct substitution:

$=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2$

Right-Hand Limit:

$\displaystyle \lim_{x\to -1^+}f(x)$

Since we are approaching from the right, we will use the second equation:

$=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}$

Direct substitution:

$\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2$

So, we can see that:

$\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2$

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

$\displaystyle \lim_{x \to -1}f(x)=-2$

Our answer is A.

8 0

3 years ago

All the factors of24

Lady bird [3.3K]

1,2,3,4,6,8,12,24 are all the factors to 24

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3 years ago

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yawa3891 [41]

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2 years ago