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Nikolay [14]
3 years ago
10

The standard form of the equation of a circle is (x−3)2+(y−1)2=16.

Mathematics
2 answers:
____ [38]3 years ago
8 0
Use:(a-b)^2=a^2-2ab+b^2\\\\(x-3)^2+(y-1)^2=16\\\\x^2-2\cdot x\cdot3+3^2+y^2-2\cdot y\cdot1+1^2=16\\\\x^2-6x+9+y^2-2y+1=16\\\\x^2+y^2-6x-2y+10=16\ \ \ |-16\\\\\boxed{x^2+y^2-6x-2y-6=0}
mash [69]3 years ago
6 0

Answer:

General Form: x^2+y^2-6x-2y-6=0

Option 1 is correct.

Step-by-step explanation:

The standard form of the equation of a circle is (x−3)²+(y−1)²=16

The general form of circle: x²+y²+2gx+2fy+c=0

Formula:

(a-b)^2=a^2-2ab+b^2

(x-3)^2+(y-1)^2=16

x^2-6x+9+y^2-2y+1=16

x^2+y^2-6x-2y-6=0

General Form: x^2+y^2-6x-2y-6=0

Standard form: (x-3)^2+(y-1)^2=16

Hence, The General Form: x^2+y^2-6x-2y-6=0

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The total number of people in the family that generates 20 loads of laundry in a week is 10.

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An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of people and x represent the number of laundry loads.

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y = (1/2)x

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3 years ago
In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a
Elis [28]

Answer:

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Step-by-step explanation:

Weighted average is used to answer this question.

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<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

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Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.

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