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N76 [4]
3 years ago
14

Write the equation of this circle in standard form. A) (x - 2)2 + (y - 3)2 = 4

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

x^2 + y^2 -4x -6y + 9 = 0

Step-by-step explanation:

To write a circle in standard form, expand the equation of the circle and move all terms to one side.

(x-2)^2 + (y-3)^2 = 4\\x^2 -4x + 4 + y^2 -6y + 9 = 4\\x^2 +y^2 - 4x - 6y + 13 = 4\\x^2 + y^2 -4x -6y + 9 = 0

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Solve the equations.<br> a. (x − 2)^2 = 9<br> b. 3(x − 2)^2 = 9<br> c. 6 = 24(x + 1)^2
seropon [69]

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

4 0
3 years ago
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>

C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>

D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239  Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>

5 0
4 years ago
Find the area of a circle with radius, r = 1cm. Give your answer in terms of π .
natulia [17]

Answer:

A = 1cm*pi

Step-by-step explanation:

5 0
3 years ago
Which equation has the correct sign on the product?
Alik [6]

Answer:

B

Step-by-step explanation:

(+)x(-)=(-)

(-)x(-)=(+)

8 0
3 years ago
Can you please solve this as soon as you can? Thank you!
lesya692 [45]

Step-by-step explanation:

x=120⁰

hdbdbdddfhcydhgdjvds

5 0
3 years ago
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