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3 years ago

Create a linear function that has a rate of change of -4 and a solution at (-5,2)

Mathematics

1 answer:

san4es73 [151]3 years ago

8 0

You would use the point-slope equation of y-y₁=mx(x-x₁)

So the rate of change is the slope and equals m, so m=-4

and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers

y - (2) = (-4)(x - (-5))

y - 2 = -4 (x+5)

y - 2 = -4x - 20

y = -4x - 18

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2 years ago

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Answer:

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Therefore to convert 8 radians to degree we need to apply this value to the formula above:

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Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

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A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

$\pi = 3.14$

Thus

$Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2$

= 62.8 cm³

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$Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}$

$Volume\ of\ a\ cone =\frac{62.8}{3}$

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Thus the volume of a cone is 20.9 cm³ .

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