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kiruha [24]
3 years ago
5

What is the solution set to.the following system?{x+y=4, x^2+y^2=16}

Mathematics
1 answer:
olganol [36]3 years ago
5 0

Answer:

x= 3.47 or x= -4.47 ,  y= 0.53 or y= 8.47

Step-by-step explanation:

quadratic equation:

x^2 + y^2 = 16

(-b± √b^2 - 4*a*c) /2

(-1 ± √ 1-4*1*16)/2

(-1 ± 3√7)/2

(-1 ± 7.94)/2

(-1 + 7.94 )/2 or (-1-7.94)/2

x= 3.47 or -4.47

therefore:

x+y = 4

3.47 + y = 4     or -4.47 + y = 4

y = 4-3.47       or y = 4+ 4.47

y= 0.53   or y = 8.47

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Step-by-step explanation:

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3 years ago
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blondinia [14]
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3 years ago
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of
never [62]

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 .

As given

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

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Thus

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

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Thus the volume of a cylinder is 62.8 cm³ .

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

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

8 0
3 years ago
If you put $603 in a savings account that pays 9% for one year what is the amount of money you will have at the end of the one y
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<span> The answer is is 4 times. </span>
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3 years ago
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