All categories

3 years ago

A circle is defined by the equation given below.

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

Answer:

(1/2, 1)

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

You might be interested in

If a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?

lions [1.4K]

Answer:

B. ab+ac=d

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

the diagonals of a rhombus are 12 inches and 16 inches long. the length of a side of the rhombus is 10 inches what is the height

Anastasy [175]

Area = 12 * 16 / 2 = 96

96/10 = 48/5

4 0

3 years ago

Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of t

ohaa [14]

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

Learn more about sales tax here:brainly.com/question/9437038

#SPJ4

5 0

1 year ago

I NEED HELP !! PICTURE IS UP THERE ^

Fynjy0 [20]

Answer:

$\angle 1 = 99^\circ$

$\angle 3 = 99^\circ$

$\angle 4 = 81^\circ$

Step-by-step explanation:

Given

$\angle 2 = 81^\circ$

Required

Determine: $\angle 1 . \angle 3 , \angle 4$

Solving for $\angle 1$ , we have:

$\angle 2 + \angle 1 = 180^\circ$ --- angle on a straight line

So, we have:

$\angle 1 = 180^\circ-\angle 2$

$\angle 1 = 180^\circ-81^\circ$

$\angle 1 = 99^\circ$

To solve for $\angle 3, \angle 4$ , we have:

$\angle 3 = \angle 1$

$\angle 4 = \angle 2$ --- Vertically opposite angles

So:

$\angle 4 = 81^\circ$

$\angle 3 = 99^\circ$

4 0

2 years ago

Find all solutions of the system of equations algebraicllally. Write your solutions as coordinate points Y=3x^2- 2x-1 2x+y=11

zloy xaker [14]

Answer:

(- 2, 15 ) and (2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 3x² - 2x - 1 → (1)

2x + y = 11 → (2) ← subtract 2x from both sides

y = 11 - 2x → (3)

Substitute y = 3x² - 2x - 1 into (3)

3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )

3x² - 12 = 0 ( add 12 to both sides )

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

Substitute these values into (3) for corresponding values of y

x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )

x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )

8 0

2 years ago