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Montano1993 [528]
1 year ago
9

Given this unit circle, what is the value of x? (x, -7/10)(1,0)​

Mathematics
1 answer:
Paraphin [41]1 year ago
5 0

Answer:

x = - \frac{\sqrt{51} }{10}

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius of a unit circle is r = 1

substitute (x, - \frac{7}{10} ) into the equation and solve for x

x² + (- \frac{7}{10} )² = 1²

x² + \frac{49}{100} = 1 ( subtract \frac{49}{100} from both sides )

x² = 1 - \frac{49}{100} = \frac{51}{100} ( take square root of both sides )

x = ± \sqrt{\frac{51}{100} } = ± \frac{\sqrt{51} }{10}

since the point is in the 3rd quadrant then x < 0

x = - \frac{\sqrt{51} }{10}

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