3 years ago

What is the center and radius for the circle with equation ...

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Answer:

Step-by-step explanation:

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Explain how you got the answer

Gnoma [55]

Answer:

$\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }$

Step-by-step explanation:

Given equation is

$x^2 + y^2 -6x-6y -42 = 0$

Adding 42 to both sides

$x^2 + y^2 -6x-6y = 42\\$

Completing squares

$x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42$

Adding (3)² => 9 and (3)² => 9 to both sides

$(x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}$

Comparing it with $(x-h)^2+(y-k)^2 = r^2$ where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = $2\sqrt{15}$

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4 years ago

A recipe takes 90 minutes to make 25% of the time he spent preparing the ingredients how many minutes are spent preparing

gizmo_the_mogwai [7]

25% * 90 minutes is 22.5 22.5 minutes

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3 years ago

SIMPLIFY THE EXPRESSION (m − 1)(-4)

anastassius [24]

Answer:

-4m + 4

Step-by-step explanation:

you distribute the -4 to the m making -4m and then distribute -4 to the -1 which makes +4

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3 years ago

What happens if 0 is one of the coordinates?

aleksandrvk [35]

Answer:

Its is just 0

Step-by-step explanation:

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4 years ago

Read 2 more answers

20 points! Clear answers and good descriptions! Thanks! :)

balu736 [363]

Answer:

1= b

2= f

Step-by-step explanation:

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2 years ago