1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
3 years ago
11

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

(x-h)^{2} +(y-k)^{2} =r^{2}

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

(x+1)^{2} +(y-2)^{2} =36

the Center is: (-1,2)

and the radius is: \sqrt{36} = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

(x+1)^{2} +(y-2)^{2} =36

(x+1)^{2} +(2-2)^{2} =36

(x+1)^{2} +(0)^{2} =36

(x+1)^{2}  =36

x+1 =±\sqrt{36}

x=6-1    AND    x=-6-1

x=5          AND    x=-7

  • The points are A(5,2)  and  B(-7,2)

second sub x= -1 in the equation to find the values for y:

(x+1)^{2} +(y-2)^{2} =36

(-1+1)^{2} +(y-2)^{2} =36

(0)^{2} +(y-2)^{2} =36

(y-2)^{2} =36

y-2=±\sqrt{36}

y=6+2    AND    y=-6+2

y=8          AND    y=-4

  • The points are D(-1,8)  and  E(-1,-4)      

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

You might be interested in
Help..... me .......please..........ITS URGENT
Vikentia [17]

Answer: 115, 2645

(x= 115, y= 2645)

Step-by-step explanation:

There are two methods to this, which is using the graph with each x and y value, or substituting in values.

I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.

In this case, one way to check it could look like this (substituting y value):

y = 23x

2645 = 23x

x = 2645÷23

x = 115

6 0
2 years ago
What is the solution to 3/(2x+1) = 9/3x?
Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

7 0
3 years ago
Please help me with this
Allisa [31]

Answer:

neither

Step-by-step explanation:

find the slopes of FG and HJ using the slope formula (y_2-y_1)/(x_2-x_1)

FG: (-1+3)/(-2-1)=2/-3=-2/3

HJ: (3-0)/(6-5)=3/1=3

perpendicular lines have slopes that are the negative reciprocal of each other. -2/3's negative reciprocal is 3/2 which isn't 3. the lines aren't parallel or perpendicular

6 0
3 years ago
22 = 3x - 10 and 23 = x + 30 x = [?]​
Vlad [161]

Answer:

48

Step-by-step explanation:

7 0
3 years ago
Can some one help me understand this???
lesya [120]

Answer: x=40 y=140

Step-by-step explanation:

To work out x:

The angles in a triangle always add up to 180.

You already have one angle which is 50 the bottom left angle is a right angle and right angles always equal 90. To work out x, do 50+90=140 then do 180-140=40.

To work out y:

Angles on a straight also add up to 180.

So as you have figured out what x is (40) you would take it away from 180 to give you y.

180-40=140

Hope this helps :)

8 0
2 years ago
Other questions:
  • After reading 80\%80% of her e-mails in her inbox, Danette still has MM unread e-mails.
    9·1 answer
  • How do you convert celsius into fahrenheit?
    13·1 answer
  • HELLLP<br>A. 3y + 2x = -6<br>B. y = 4x - 2<br>C. y + 2 = (x + 5)<br>D. 10y + 8x = -20​
    5·1 answer
  • It took Jason 3 minutes and 48 seconds to complete a practice page in class. How many total seconds did Jason take to complete t
    12·2 answers
  • Bette had 280 kilograms of bolts and put the same amount into each of 8 boxes. How
    7·1 answer
  • ONLY TRUE ANSWER [BRAINLY]
    13·2 answers
  • Solve for x. Solve for x.
    12·2 answers
  • Do you have any equal/opposite terms or variables? <br> x+3y=7 and 2x-4y=-6<br> yes<br> no
    5·1 answer
  • Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and name the postulate
    5·2 answers
  • Does either item below contradict the statement: "The sum of two rational
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!