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Alenkinab [10]
3 years ago
14

Five times a number increased by 15 equals 8 decreased by twice the number. Write an equation and solve showing all work.​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

5x+15 = 8 -2x

Explanation:

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A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
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Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

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b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

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What is the vertex of the following graph?
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