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3 years ago

Write an equation for a line that passes through (-1,4) and is parallel to 2y + 10x=-36

1 answer:

max2010maxim [7]3 years ago

6 0

Hi there Brook!

First, you need to find the slope of this linear line, because if two lines are parallel they have the same exact slope.

2y + 10x = -36 <-- Subtract 10x on both sides
2y = -10x - 36 <-- Divide everything by 2
y = -5x - 18 <-- Your re-organized linear equation, with the slope of -5.

Now that you know the slope is -5, but not the y-intercept since the line is different, look at the coordinate you have. Since you know that an input of -1 makes an output of 4, you can create an equation:

4 = -5(-1) + b <-- Four equals the slope times the input, plus the y-intercept
4 = 5 + b
b = -1, since 5 + (-1) = 4.

So, now your final equation is y = -5x -1

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Slope-rate of change- “if there were 12,000 in the Atlantic Ocean in 1950 and there are 3,600 dolphins today, what is the yearly

jasenka [17]

$\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{dolphins}\\ \cline{1-2} &\\ 1950&12000\\ 2018&3600 \\&\\ \cline{1-2} \end{array}~\hspace{5em}(\stackrel{x_1}{1950}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2018}~,~\stackrel{y_2}{3600}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3600-12000}{2018-1950}\implies \cfrac{-8400}{68}~~\approx~~ \stackrel{\textit{rate of change}}{-123.53}$

-8400/68 simplifies to to -2100/17, dolphins/year, so 2100 less dolphins every 17 years.

and we can just divide those to get the decimal amount of -123.53, which means, 123.53 less dolphins every year.

of course, there's no such a thing as 0.53 of a dolphin, so, we can say "about" 123 less dolphins per year.

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2 years ago

The following data set has a mode of 3, a mean of 10, and a median of 5.5. Which of these three measures gives the best idea of

ANTONII [103]

For this particular data set, the median most accurately represents the values present in the data set because most of the values are clustered close to it.

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3 years ago

Read 2 more answers

A college library has five copies of a certain text on reserve. Three copies (1, 2, and 3) are first printings, and the remainin

dezoksy [38]

Answer:

S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }

A ={(4), (5)}

Step-by-step explanation:

Given that:

Among the three copies, (1,2,3) are the first printings, and (4,5) are the second printings.

A student who examines these books in random order stops when a second printing has been selected.

Thus, we can compute the sample space associated with these experiments as:

S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }

Suppose A represents the event that we must examine exactly one book.

Then the outcomes of A are:

A ={(4), (5)}

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3 years ago

In 1934 there was an extreme drought and the Great Plains and the number 1,934 is the value of the nine and the hundredth place

WARRIOR [948]

It should be noted that No. the value of the 9 in the hundred place is not ten times the value of 3 in the tens place.

<h3>How to illustrate the information?</h3>

It should be noted that the value of 3 in 1934 is 30 and the value of 9 is 900.

1934 = 1000 + 900 + 30 + 4

Therefore the value of 9 will be:

= 30 × 3

Therefore, the the value of the 9 in the hundred place is 30 times the value of 3 in the tens place.

Learn more about place values on:

brainly.com/question/2041524

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1 year ago

Jon ran 4 miles in 35<br> minutes. How long did it<br> take him to run a mile

sesenic [268]

Answer:

35/4 minutes per mile

Step-by-step explanation:

rate = time/distance, therefore the answer is 35/4

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2 years ago