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Dahasolnce [82]
2 years ago
15

PLEASE HELP ME WRITE THE EQUATION

Mathematics
2 answers:
ira [324]2 years ago
6 0

I'm answering this question really late, but I need points and I need to practice solving these type of questions lol. Also, hello fellow army! :D

Answer:

This would be the equation: y=1/4*x+b <em>OR </em><em>y=0.5*x+b. </em>Either way works. 0.5 is just 1/4 as a decimal.

Step-by-step explanation:

In this question, you need to find the slope.

The slope-intercept form is y = mx +b. This is what I used to make the equation y=1/4*x+b.

Find the slope.

You would have to find the change in y over the change in x. So change in y divided by the change in x.

Your change in y would be 2. This is because in the y column, the values change by +2.

Your change in x would be 8. This is because in the x column, the values change by adding 8.

So now, we need to divide the change in y over the change in x.

So... 2 divided by 8 equals 0.25.

0.25 as a decimal would be 1/4.

Now we put all of this in slope-intercept form y = mx +b.

The Equation is y=1/4*x+b

Also, stream BTS butter once it releases, haha.

makvit [3.9K]2 years ago
4 0

Answer:

y=1/4*x+b

Step-by-step explanation:

The x is a random x point

y is random y point  

b is y-intercept

1/4 is the slope

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Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
Math Classwork. If you could help it would be much appreciated :)
maria [59]

Answer:

these are quadratic graphs

Step-by-step explanation:

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2 years ago
Here is a list of the normal monthly precipitation (in inches) for January for 20 different U.S. cities. 4.0, 1.0, 1.5, 1.6, 2.0
shutvik [7]

Answer:

minimum value = 1.0 , the lower quartile = 2.3, the middle value = 3.5.

the upper quartile = 3.95, the maximum value  = 7.3.

Step-by-step explanation:

Five Number Summary of any data consists basically of 5 data sets.

1) The minimum Value

2)The first (lower) quartile

3) The middle value (Median)

4) The third (upper) quartile

5)The maximum value

Now, the given data is  4.0, 1.0, 1.5, 1.6, 2.0, 2.2, 2.4, 2.7, 3.4, 3.4, 3.5, 3.6, 3.6, 3.7, 3.7, 3.9, 4.1, 5.8, 4.1, 7.3

Arrange it in the ascending order,

1.0, 1.5, 1.6, 2.0, 2.2, 2.4, 2.7, 3.4, 3.4, 3.5, 3.6, 3.6, 3.7, 3.7, 3.9, 4.0, 4.1, 4.1, 5.8, 7.3

Here,

1) The minimum Value  is 1.0

2)The first (lower) quartile  is  2.3.

3) The middle value (Median)  is 3.5.

4) The third (upper) quartile is  3.95.

5)The maximum value  is 7.3.

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