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3 years ago

Find the center and radius of the circle described by the equation x2 + y2 + 6x - 4y - 27 = 0.

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

x²+ y² + 6x - 4y - 27 = 0 means : (x²+6x+9)-9+(y²-4y+4)-4-27 =0

(x+3)²+(y-2)² = 40....standard form when the center is (-3 , 2) and radius √40

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I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

Given function expression

$f(x)=x^3-2x^2$

Given the requirement of the question

To find the expression for f(i)

Substitute values into the expression

$f(x)=(i)^3-2(i)^2$

Simplify the exponents

$f(x)=(-i)-2(-1)$

Expand the parenthesis

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Read 2 more answers

If a parking lot holds 1,600 cars and fills 3/4 of its spaces, how many spaces are filled?

AnnyKZ [126]

The total space in the parking lot is 1600 cars

It is mentioned that $\frac{3}{4}$ parts of this parking is filled

Now we are required to find what is the three-fourths part of 1600

To find it we multiply $\frac{3}{4}$ times 1600

$\frac{3}{4} X 1600$

= $\frac{3X1600}{4}$

= $\frac{4800}{4}$

= 1200 cars

Hence 1200 cars fills the three-fourths of the car parking lot that has a capacity of 1600 cars

8 0

3 years ago

Read 2 more answers

Over the last week,the daily low temperatures in degrees Fahrenheit have been -4,6.2,18 1/2,-5.9,21,-1/4,1.75.List these numbers

Anit [1.1K]

-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.

8 0

3 years ago

The Mountain View ski resort kept track of the number of visitors they had each weekend during their busy season. This box plot

Dimas [21]

Answer:

40% i assume.if not correct then sorry-w-

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

To stay in a hotel it costs $104 each night (n) plus a $15 fee for parking. Think of the linear function that demonstrates the t

Anna007 [38]

Answer:

the equation is: (104 * x) + 15 = y i believe

Step-by-step explanation:

104 OF THE NUMBER of nights so times x because you dont know the number

and + 15 because of the fee

7 0

3 years ago