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3 years ago

Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$.

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Complete the squares to get

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

$\implies(x^2-2x+1)+(y^2+6y+9)=16$

$\implies(x-1)^2+(y+3)^2=4^2$

which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.

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Which word describes the slope of the line?<br> o positive<br> O negative<br> O zero<br> undefined

4vir4ik [10]

I’m not to sure my my guess is zero because it is not going up or down

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3 years ago

Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pai

DerKrebs [107]

Answer:

The motion of the particle describes an ellipse.

Step-by-step explanation:

The characteristics of the motion of the particle is derived by eliminating $t$ in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:

$\cos^{2} t + \sin^{2} t = 1$ (1)

Where:

$\cos t = \frac{y-3}{2}$ (2)

$\sin t = x - 1$ (3)

By (2) and (3) in (1):

$\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1$

$\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1$ (4)

The motion of the particle describes an ellipse.

7 0

3 years ago

Joe Hernandez has inherited $25,000 and wishes to purchase an annuity that will provide him with a steady income over the next 1

mote1985 [20]

Answer:

p=2982

Step-by-step explanation:

Rate of interest = 6 % p.a

No of year = 12

P.V = $ 25000

Installments (p) = ?

We know the formula of P.V annuity

P.V = P[ 1-(1+r)-n/r]

25000 = P[1-(1+0.06)-12/0.06]

P = 2982 will withdraw annuity

8 0

3 years ago

Read 2 more answers

What is the selling price of a $610 couch with a 25% markup?

defon

Answer:

762.5

Step-by-step explanation:

25% of 610 is 152.5 and 610 + 152.5 is 762.5

Hope this helped also can i get brainliest?

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3 years ago

a chef has 5 blocks of butter. Each weights 1 pound. she cuts each block into fourths. how many 1/4 pound pieces of butter does

lianna [129]

The answer would be 20 because you have 5 blocks that are cut into 1/4. It doesn't say anything about any of the pieces disappearing or being used yet so you multiply 4*5 and then you get the answer.

8 0

2 years ago