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dimulka [17.4K]
2 years ago
15

Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6

Mathematics
2 answers:
irakobra [83]2 years ago
8 0
The answer would be y= 2/3x -6
suter [353]2 years ago
8 0

Answer:

y = 2/3x-6

Step-by-step explanation:

up 2, right 3

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Given that tan θ ≈ −0.087, where 3 2 π < θ < 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
The table and the graph below each show a different relationship between the same two variables, x and y:
gavmur [86]
The value of y would be 20 times more valuable than 12 because the pattern for this table is y=20x. Let me know if I'm right :)
7 0
2 years ago
48/80 divided by what equals 3/5 ?
mote1985 [20]
They have the exact same value so you just divide by 1
6 0
3 years ago
Read 2 more answers
What is percent of increase from 15 to 60?​
k0ka [10]

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

6 0
2 years ago
Inequalitys please help
mash [69]
4|y-9| > 36
Two equations:
4(y-9)>36 then y-9>8 then y>17
4(y-9)<-36 then y-9<-8 then y<1
So, the solution is y<1 or y>17

0.5|x+2| > 6
Two equations:
0.5(x+2) > 6 then 0.5x+1>6 then x>10
0.5(x+2) < -6 then 0.5x+1<-6 then x<-14
So, the solution is: x<-14 or x>10
3 0
3 years ago
Read 2 more answers
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