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Vladimir [108]
3 years ago
12

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x+4)2−1 ?

Mathematics
1 answer:
spayn [35]3 years ago
6 0
A horizontal translation 4 units to the left
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A pendulum is 45 cm long. When it swings, it travels along the arc of a circle and covers a distance of 27.5 cm. Calculate the a
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Answer: The angle through which the pendulum travels = 35^{\circ}.

Step-by-step explanation:

Formula: Length of arc: l= r\theta , where r= radius ( in radians) , \theta = central angle.

Given: Length of pendulum (radius) = 45 cm

Length of arc= 27.5 cm

Put these values in the formula, we get

27.5=45\theta\\\\\Rightarrow\theta=\dfrac{27.5}{45}=\dfrac{275}{450}\\\\\Rightarrow\ \theta=\dfrac{11}{18}\text{ radians}

In degrees ,

\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \    [\pi=\dfrac{22}{7}]

\theta=35^{\circ}

Hence, the angle through which the pendulum travels = 35^{\circ}.

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