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Stella [2.4K]
3 years ago
9

Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.

Radius: ????= 2. Find the center of the sphere. Write the center as a point (????,????,c) where ????, ????, and c are numbers. Center:
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

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LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is :  \p*radius^2

To work out the length of the radius you would first need to divide the area of  78.5 cm by pi (pi=3.14), this gives you 25cm^2\\. This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

78.5/\pi=25cm^2

2) Find the square root of 25 cm squared.

\sqrt{25} =5 cm

In this question pi is 3.14

6 0
3 years ago
The baseball team has won 50 games of 75 players. The team has 45 remaining games to play.How many of remaining games must a tea
Paul [167]

the baseball team must win 22 more games to win 60% of total games played in the season.

/////////////////////////////////////////////////////////////////////////////////////

we know that the team played 75 games and will play 45 more games.

1st step: 75 + 45 = 120

2nd step: find 60% of 120 which is 72

3rd step: 72 - 50 = 22

5 0
3 years ago
1. Most credit card incentive programs give----
MAXImum [283]
1. Most credit card incentive programs give
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3 years ago
How would you solve this question?
motikmotik

Answer:

K

Step-by-step explanation:

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3 years ago
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Andru [333]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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