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algol [13]
2 years ago
7

8) How many solutions does the following equation have? 0 = 9x2 - 6x + 1

Mathematics
1 answer:
sweet [91]2 years ago
4 0
I’m guessing it’s 9x^2 -6x + 1 but this is basically just one. (1/3,0) use desmos if you’re curious
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Which of the following best explains why tan5π/6 ≠ tan5π/3​
Kobotan [32]

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°

300° is in the fourth quadrant

The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.

∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°

150° is in the second quadrant

The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.

∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.

tan (5π/3) = - tan(60°) = - √3

tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

If correct please give brainliest

<em>Stay safe and healthy</em>

Thank You

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Step-by-step explanation:

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