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jonny [76]
3 years ago
5

A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

slower and has 3 miles left after x hours. What is the distance of the entire trip? How long does the entire trip take?
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
5 0

12x = 10x + 3

Subtract 10x from both sides

2x = 3

Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

3 hours

Read more on Brainly.com - brainly.com/question/2158500#readmore

elena-s [515]3 years ago
4 0
3 hours

On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15
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The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The coordinates of parallelogram RSTU are

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are

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Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet

-9x/2 - 43/2  =  x/4 - 2

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y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

Learn more about the area:

brainly.com/question/11952845

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Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

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On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

3x + 6 = 2x + 9

Solve for x

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Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

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Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

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The constant of proportionality k is:

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