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3 years ago

Please answer this I will give brainliest if you answer right first.

Mathematics

1 answer:

Vesnalui [34]3 years ago

3 0

Answer:

Step-by-step explanation:

The constant of proportionality is the value of y/x. Picking a random value on the graph, such as (2, 10), we can substitute this into the formula for k = y/x. 10/2 = 5. This satisfies one portion of the answer. Now, if we take the value of x from the same point, (2, 10), which is 2, and multiply it by 5, as illustrated in y = 5x, we get 10 for y. This suits the equation as mentioned and we can check other points with the same process to ensure that this answer is correct.

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A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

3 years ago

A dice is rolled. What is the probability that a 4 is rolled?

Mamont248 [21]

Answer:

I think 1/6

Step-by-step explanation:

There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.

hope this help!

4 0

3 years ago

Read 2 more answers

Which of the following equations describes the line shown

Arisa [49]

(-4,4) , (2,1)
slope=(y2-y1)/(x2-x1)
slope=m =(4-1)/(-4-2)=-3/6=-1/2
(y-y1)=m(x2-x1)
y-4=-1/2(x+4)
y-1=-1/2(x-2)

A,F

5 0

3 years ago

The image below, what is true about angles 1, 2, and 3?

ziro4ka [17]

Answer:

C. 2 = 37

Step-by-step explanation:

<2 and 37 are vertical angles and vertical angles are equal

Angle 1 and 37 form a straight line so they add to 180

<1 + 37 = 180

<1 = 180-37 = 143

Angle 3 and 37 form a straight line so they add to 180

<3 + 37 = 180

<3= 180-37 = 143

6 0

3 years ago

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Convert 0.00001 to a power of 10.

kolezko [41]

Answer:

10^-5

Step-by-step explanation

Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.

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3 years ago