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3 years ago

Slope 1/3 passing through the points (-3,-4)

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

Answer:

y=1/3x-3

Step-by-step explanation:

use the eqation y-y1 = m(x-x1)

plug in slop as m and points as x and y

so now you have --> y-(-4)=1/3(x-(-3))

two negatives = a positive --> y+4=1/3(x+3)

distribute the 1/3 --> y+4= 1/3x + 1

subtract 4 from both sides --> y= 1/3x - 3

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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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skelet666 [1.2K]

Answer:

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Step-by-step explanation:

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