What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downs

Virty [35]

Answer: a=8 and b=1

Step-by-step explanation:

If x represents the paddling speed, and y represents the speed of the current.

Then Relative speed in upstream =x-y

Relative time in downstream=x-y

When she paddles upstream then distance covered by her= $speed\times\ time$

⇒8=(x-y)2 or 2(x-y)=8

Thus we get, a=1

When she paddles downstream then distance covered by her= $speed\times\ time$

⇒8=(x+y)1 or 1(x+y)=8

Thus we get b=1

4 0

3 years ago

Read 2 more answers

For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to ma

attashe74 [19]

Answer:

The correct answer to this question is A) 19 cubic feet of snow

Step-by-step explanation:

To solve this, use the equation V = 4/3 (π r^3) to get the volume of each. Then add all the volumes together: (1ft x3.14) + (2ft x3.14) + (3ft x3.14). You will get 19 cubic feet of snow. This is how much snow is needed to build the whole snowman.

7 0

4 years ago

Which division problem does the number line below best illustrate?

Tcecarenko [31]

Answer:

12/3=4 ..............

5 0

3 years ago

If x= sin theta then x/√1-x^2 is

SCORPION-xisa [38]

Well,

Given that $x=\sin(\theta)$ ,

We can rewrite the equation like,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}$

Now use, $\cos(\theta)^2+\sin(\theta)^2=1$ which implies that $1-\sin(\theta)^2=\cos(\theta)^2$

That means that,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}$

By def $\sqrt{x^2}=x$ therefore $\sqrt{\cos(\theta)^2}=\cos(\theta)$

So the fraction now looks like,

$\dfrac{\sin(\theta)}{\cos(\theta)}$

Which is equal to the identity,

$\boxed{\tan(\theta)}=\dfrac{\sin(\theta)}{\cos(\theta)}$

Hope this helps.

r3t40

6 0

3 years ago

What is the standard deviation of the population: Use the stdevp function in the Desmos graphing calculator.

Mice21 [21]

The standard deviation of the given data is 3.5

<h3 /><h3>How to calculate the standard deviation of data?</h3>

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

$\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }$

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ = √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

Learn more on standard deviation here: brainly.com/question/12402189

8 0

2 years ago