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3 years ago

Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

y = 1/4 x + 4

Step-by-step explanation:

1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)

2. Put x = 4 and y = 5 in the new equation

=> 5 = (1/4)(4) + b

=> b = 4

3. So then we'll have the new equation that is parallel to y = 1/4x-4

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Given:

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Solution:

Area of a sector is:

$A=\dfrac{1}{2}r^2\theta$

Where, r is the radius of the circle and $\theta$ is the central angle of the sector in radian.

Putting $A=64,\theta=\dfrac{\pi}{6}$ , we get

$64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}$

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$64\times \dfrac{12}{\pi}=r^2$

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Taking square root on both sides, we get

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