3 years ago

What is the general form of the equation of a circle with its center at (-2,1) and passing though (-4,1) ?

1 answer:

4 0

Equation is :( x + 2 )² + ( y - 1 )² = r²( - 4 + 2 )² + ( 1 - 1 )² = r²4 = r², than we will plug in to a formula:( x + 2 )² + ( y - 1 )² = 4x² + 4 x + 4 + y² - 2 y +1 = 4x² + y² + 4 x - 2 y + 1 = 0
the answer is : x2 + y2 + 4x − 2y + 1 = 0

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Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of

podryga [215]

Let the four consecutive numbers be x,x+1,x+2,x+3.

Now the product of second and third number=(x+1)(x+2)=x²+3x+2=k

Product of first and fourth number=x(x+3)=x²+3x=k-2

A.T.Q

product of second and third number= product of first and fourth number+2

Hence proved

6 0

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