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3 years ago

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Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

The answer is,

$r = \frac{3t}{t - 1}$

Step-by-step explanation:

$t = \frac{r}{ r - 3}$

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:

t × (r-3) = r/(r-3) × (r-3)

rt - 3t = r

Then you have to move all the "r" variables to one side and other variables to the other side:

rt - r = 3t

You can make "r" as a subject by taking out the common term, you can see that the common term on the left is "r" so you can bring out:

r(t-1) = 3t

r = 3t/(t-1)

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( -3, -14 ) and ( 0, -9 )

expeople1 [14]

The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

( -3, -14 ) and ( 0, -9 )

Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

(-3, -14) and (0, -9)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, -14) and (0, -9)

Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3

Read more about slope at

brainly.com/question/3493733

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<u>Possible question</u>

Find the slope of ( -3, -14 ) and ( 0, -9 )

7 0

1 year ago

Read 2 more answers

3 a western beach is reducing width by 10 feet every 5 years for the first 10 years the patter then became less constant dunes b

Anna71 [15]

A. Western Beach is reducing was width by 10 feet every 5 years for the first 10 years, then the pattern became less constant. Dunes Beach experienced a stable and fast increase in width, 25 feet every 5 years of 5 feet per year.

B. Somewhere between years 11 and 12 they had the same width.

C. You can place the values on a graph and connect the points, and look at the intersections to determine points in time where they were of the same width.

First, lets look at the data. Western Beach (or WB for short) decreases its width by 10 feet every 5 years from year 0 to year 10. Between year 11 and year 15 the pattern shifts and becomes less changing since there is barely any change between years 12 and 15. Dunes Beach (or DB) increases steadily by 25 feet every 5 years or 5 feet per year.

Assuming the changes in width happen over time and gradually, at some point between year 10 and 11, both beaches would have likely had the same width, somewhere between 70 and 75.

To determine the exact point in time where they meet we would need to draw a graph, with the width in feet on the X axis and the year on the Y axis. Then we place all the pairs in the graph by their coordinates, and connect the points that correspond to each beach. We then see where the lines intersect and use mathematics to determine the values of X and Y, giving us the time and width when the two beaches were equal.

please mark me brainliest it helps to become an genius

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3 years ago

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples? *

mario62 [17]

Answer:

$1.20

Step-by-step explanation:

3.6/3=1.2

you would divide for the unit rate or in other words simplify it.

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3 years ago

Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.

jeka94

Set A has a peak at 5. It is also skewed to the right. The center is 5.

Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.

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3 years ago

A piece of rope 94.2 inches long will enclose a circular child’s wading pool. What is the diameter

Elis [28]

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4 years ago

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