Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0
a) Write the equation of the circle in standard form. (3 points)
b) What is the center of the circle? (1 point)
c) What is the radius of the circle? (1 points)
d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)
Answers
Answer:
Subtract
12
from both sides of the equation.
x
2
+
y
2
−
12
x
+
2
y
=
−
12
Complete the square for
x
2
−
12
x
.
Tap for more steps...
(
x
−
6
)
2
−
36
Substitute
(
x
−
6
)
2
−
36
for
x
2
−
12
x
in the equation
x
2
+
y
2
−
12
x
+
2
y
=
−
12
.
(
x
−
6
)
2
−
36+y2+2y=−12
Move
−36
to the right side of the equation by adding
36
to both sides.
(x−6)2+y2+2y=−12+36
Complete the square for
y2+2y.
Tap for more steps...
(y+1)2−1
Substitute
(y+1)2−1
for
y2+2y
in the equation
x2+y2−12x+2y=−12.
(x−6)2+(y+1)2−1=−12+36
Move
−1
to the right side of the equation by adding
1
to both sides.
(x−6)2+(y+1)2=−12+36+1
Simplify
−12+36+1.
Tap for more steps...
(x−6)2+(y+1)2=25
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r=5 h=6 k=−1
The center of the circle is found at
(h,k).
Center:
(6,−1)
These values represent the important values for graphing and analyzing a circle.
Center: (6,−1)
Radius:
5
image of graph
Step-by-step explanation:
Answer:
A) (x+6)^2 + (y-1)^2 =49
B) (-6, 1)
C) Radius of 7
D) I’ll try to add picture
Step-by-step explanation:
hotomath
Related Questions
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
[Verse 1]
You should come back to our place, baby
Don't be afraid of our love
On the second floor, darling
In a second flat, hurry up
'Cause down in Arkansas the stores are all closed
The kids in their hoodies, they dance super slow
We're white-hot forever and only God knows
[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, amen
[Verse 2]
Could I come back to the ranch, baby?
I had to get away for a while
Just to rest my nerves, darling
Can I make you laugh with a smile?
You knew when you chose me
I was nothing but ordinary
And now the wind's blowing, reminding you of what you know
[Chorus]
You should stay real close to Jesus
Keep that bottle at your hand, my man
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
Trade this body for that can of Gin
Like a little piece of heaven
No more candle in the wind
[Post-Chorus]
We'll be white-hot forever
White-hot forever
White-hot forever
And ever and ever, the end
White-hot forever
White-hot forever
White-hot forever
And ever and ever, amen
[Outro]
You should stay real close to Jesus
If you don't pray, you'll never learn
Keep that bottle at your hand, my man
You know what I'm sayin'?
Find your way back to my bed again
Sing me like a Bible hymn
We should go back to Arkansas
I like living here
Trade this body for the can of Gin
Like a little piece of heaven
No more candle in the wind
Answers
Answer:
AMEN
Step-by-step explanation:
.
2x+y=5 y=x−1 system of equations please show your work
Answers
sub y = x - 1 into equation 1
2x + x - 1 = 5
3x = 6
x = 2
sub x = 2 into equation 2
y = 2 - 1
y = 1
Find the value of x in the circle.
Answers
Answer:
34
Step-by-step explanation:
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
Answers
I will mark you brainalist
Answers
Answer:
1.25 since all prices are sam e
Step-by-step explanation:
What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help
Answers
Answer:
4/3 hope this helps
Need Help. I will give brainliest.
Answers
Answer:
I think that by nothing these.triangles are similar so it is option d
Answer:
Step-by-step explanation:
If we look at the ratios of shortest to longest sides we see
34/110 does not equal 26/44
Since these ratios are not equal they are not similar triangles.
So the answer is D
m_VSR =
Help meeeeeeeee
Answers
Answer:
80 degrees
Step-by-step explanation:
Write 66,610 in scientific notation.
Answers
Hope this helps
Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6).
Answers
Answer:
(-3 ,-4)
I have made it in above picture
hope it helps
3x^2 -12x +11=0
How to complete the square
Answers
Answer:
Tiger shows you, step by step, how to solve YOUR Quadratic Equations 3x^2-x-11=0 by Completing the Square, Quadratic formula or, ...
REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN
Answers
i think its ZN=2K
im not sure so please recheck it with someone else
Fred climbed to the top of a cliff 35 feet above sea level. he then dove into the ocean, traveling a total of 42 feet from the top of the cliff. What is Fred's location after the dive?
Answers
Answer:
i really dont know sorry lil buddy
Step-by-step explanation
Please help me quick
Answers
Answer: 20 inches
Step-by-step explanation:
using pythagorean theorem according to which hypotebous ^2=altitude ^2+base^2
c^2=a^2+b^2
c^=(12)^2+(16)^2
c^2=144+256
c^2=400
c=20
A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building will the ladder reach?
Answers
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
60 divided by 4 - 3^2 + 2 (5)
Answers
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First Step: Solve the exponent 3^2=9
Then, you get 60 divided by 4-9+2(5)
Then, you do Multiplication and Division from left to right, so 60/4=15, 2(5)=10
Then, you get 15-9+10
Then, you do addition and subtraction from left to right.
15-9=6, then 6+10=16
Please help me with this
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second
Answers
does 12, 24, 36 form a right triangle
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Question 1 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Elmhurst has 80,000 people, how many people live in Jackson Heights?
Question 2 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Jackson Heights has 80,000 people, how many people live in Elmhurst?
Answers
Answer:
1) Jackson Heights population = 100,000
2) Elmhurst population = 64,000
Step-by-step explanation:
1) 80,000 x 1.25 = 100,000
2) 80,000/1.25 = 64,000
There are 4 blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood? 0.0138 0.4390 0.5610 0.9862
Answers
Answer:
0.9862.
Step-by-step explanation:
For each donation, there are only two possible outcomes. Either it can be safely used in a blood transfusion on someone with type A blood, or it cannot. The probability of a donation being safely used is independent of other donations, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Type A blood:
Can receive from type O(49%) and from type A(27%), which means that:
[tex]p = 0.49 + 0.27 = 0.76[/tex]
If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood?
Three donations mean that [tex]n = 3[/tex]
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.76)^{0}.(0.24)^{3} = 0.0138[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0138 = 0.9862[/tex]
The answer is 0.9862.
The probability that at least 1 of them can be safely used in a blood is 0.9862.
Since, A person with type A blood can safely receive blood transfusions of type O and type A blood.
Given that,
49% of donations are type O blood
27% of donations are type A blood
So, [tex]p=0.49+0.27=0.76[/tex] and [tex]q=1-0.76=0.24[/tex]
Where p represent probability of success and q represent probability of unsuccessful.
Now use Binomial distribution,
[tex]P(X=r)=n_{C}_rp^{r} q^{n-r}[/tex]
Here three donations, it means that, n = 3
We have to find that the probability that at least 1 of them can be safely used in a blood.
So, [tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)=3_{C}_0(0.76)^{0} (0.24)^{3}=0.0138[/tex]
[tex]P(X\geq 1)=1-0.0138=0.9862[/tex]
Thus, The probability that at least 1 of them can be safely used in a blood is 0.9862.
Learn more about Binomial distribution here:
https://brainly.com/question/11388449
If abc+1=0, prove that: (1/1−a−b^-1)+(1/1−b−c^-1)+(1/1−c−a^−1)=1
Answers
Answer:
Hope it will help. I did it.
Hope the image is clear.
Answer:
2
Step-by-step explanation:
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answers
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Learn more about permutations at https://brainly.com/question/1216161
#SPJ2
Please help this is due TODAY
Calculate the unknown variable value .
Do not answer with a one answer, blank or a ridiculous answer please this is serious.
Answers
Z= 10cm
X= 17cm
Y= 8cm
Explanation:
One half of the image can be mirrored to the other side. This means that the variables are equivalent to the number on the exact opposite side of them.
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)
Answers
Answer:
[tex](-2,\, 0)[/tex].
Step-by-step explanation:
Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].
In this question:
Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].
Scale factor: [tex]r = 0.25[/tex].
Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].
The resultant point would be:
[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].
many teams?
Ms. Z has 75 students in her
gym class. She wants to
make teams of 15 students.
How many teams will she
have?
7
aker notes
Answers
Answer:
75 divided by 15 is 7
Step-by-step explanation:
Write an equation and find the missing angle.
Answers
29
4+5(29)=149degrees
(29)+2= 31 degrees
i hope this helps
(9z+7) whats the value of z
Answers
Answer:
-0.78
Step-by-step explanation:
9z+7
9z = -7
z = -7÷9
z = -0.78
what is x in 5x - ((2x-1)÷2) = 5
Answers
Answer:
5x - ((2x-1)÷2) = 5-----(1)
(1) multiply by 2;
2 *(5x - ((2x-1)÷2) = 5)
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 =10
8x = 10-1
x=9 /8
Step-by-step explanation:
Answer:
x = 9/8
Step-by-step explanation:
5x - ((2x - 1) ÷ 2) = 5
2 × (5x - ((2x - 1) ÷ 2) = 5
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 = 10
8x + 1 - 1 = 10 - 1
8x = 10 - 1
8x = 9
8x ÷ 8 = 9 ÷ 8
x = 9 ÷ 8
x = 9/8 or 1 and 1/8
cuantos kilogramos
equivale la fracciom 11/25
Answers
Answer:
En español:
11/25 = 0.44
0.9702 porque multiplica por 2.205.
In English:
11/25 = 0.44
0.9702 because you multiply by 2.205.
7(5+2c)+3c I need help
Answers
Answer:
35 + 17c I hope this helps!! Plz give brainliest!!!
Step-by-step explanation:
7(5+2c)+3c
35+14c+3c
35+17c