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2 years ago

HELP PLEASE

Mathematics

2 answers:

crimeas [40]2 years ago

8 0

Let Jeff's age = x and Ben's age = x - 9.

(x + 10) + (x -9 + 10) = 67

x + 10 + x + 1 = 67

2x + 11 = 67

2x = 56

x = 28

x - 9 = 28 - 9 = 19

Jeff is 28 years old, and Ben is 19 years old.

diamong [38]2 years ago

5 0

If Jeff is x years old, Ben is x - 9 years old.

Ten years later, Jeff would be x + 10 years old and Ben would be (x - 9) + 10 years old.

x + 10 + (x - 9) + 10 = 67
2x + 11 = 67
2x = 56
x = 28

Jeff is 28 right now and Ben is 19 right now.

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The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)

sveticcg [70]

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Step-by-step explanation:

When a terminal side of an angle intersect the unit circle at

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If x and y coordinates are positive, then the angle lies in the 1st quadrant
If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
If x and y coordinates are negative, then the angle lies in the 3rd quadrant
If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant

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- According to the 1st and 2nd notes above

∴ cosФ = x-coordinate of the point

∴ sinФ = y-coordinate of the point

∵ The x-coordinate of the point is negative

∵ They-coordinate of the point is positive

- According the the 4th note above

∴ Angle Ф lies in the 2nd quadrant

∵ x-coordinate = $\frac{-\sqrt{2} }{2}$

∴ cosФ = $\frac{-\sqrt{2} }{2}$

∵ y-coordinate = $\frac{\sqrt{2} }{2}$

∴ sinФ = $\frac{\sqrt{2} }{2}$

- cotФ is the reciprocal of tanФ

∵ tanФ = sinФ ÷ cosФ

∴ cotФ = cosФ ÷ sinФ

∴ cotФ = $\frac{-\sqrt{2} }{2}$ ÷ $\frac{\sqrt{2} }{2}$

∴ cotФ = -1

The values of cosine Ф and cotangent Ф are $\frac{-\sqrt{2} }{2}$ and -1

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

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