Use the information provided to write the equation of each circle. *photo attached
Answers
Answer:
( x + 13 )^2 + ( y + 6 )^2 = 1; Option A
Step-by-step explanation:
~ The question we have at hand is: x^2 + y^2 + 26x + 12y + 204 = 0 ~
Let us apply the circle equation ( x - a )^2 + ( y - b )^2 = r^2 ⇒ provided r is the radius, centered at point ( a, b )
1. First rewrite x^2 + y^2 + 26x + 12y + 204 = 0 in the standard form of circle equation: x^2 + y^2 + 26x + 12y + 204 = 0
2. Now move the loose number to the right side: x^2 + 26x + y^2 + 12y = -204
3. Let us now group variables: ( x^2 + 26x ) + ( y^2 + 12y ) = -204
4. Convert x to square form: ( x^2 + 26x + 169 ) + ( y^2 + 12y ) = -204 + 169
5. Convert to square form: ( x + 13 )^2 + ( y^2 + 12y ) = -204 + 169
6. Convert y to square form: ( x + 13 )^2 + ( y^2 + 12y + 36 ) = -204 + 169 + 36
7. Convert to square form, and simplify: ( x + 13 )^2 + ( y + 6 )^2 = 1
Answer: ( x + 13 )^2 + ( y + 6 )^2 = 1
Related Questions
A water sprinkler sends out water in a circular pattern. How many feet away from the sprinkler can it spread water is the area formed by the watering pattern is 530.66 square feet? Use 3.14
Answers
Answer:
r= 13ft
Step-by-step explanation:
You are looking for the radius
The Area of a circle is
πr2=530.66
(3.14)r2=530.66
Divide both sides by 3.14
r2=169
Square root both sides to get radius
r=13 feet
Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.
B: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
C: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.
D: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.
Answers
Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
Step-by-step explanation:
Let "up" be positive and "down" be negative.
Both elevators start at position x = 0
The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)
The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)
Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below
Answer:
Awnser B :) Hope i helped
Step-by-step explanation:
Team Sports Sport Number of Players Baseball 9 Basketball 5 Football 11 Hockey 6 Lacrosse 10 Polo 4 Rugby 15 Soccer 11 Enter the ratio of lacrosse players to baseball players in the form a b and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.
Answers
Answer:
Ratio of Lacrosse players to Baseball players is 10:9 or 10/9
Step-by-step explanation:
A ratio can be seen as a relationship between two values which is based on quantitative measures.
To do this simply we divide the values of the quantities that we want to determine the ratio of which on is to the other.
It can be seen as Value of quantity A / Value of quantity B
In this case, quantity A is the Lacrosse players, and it has a value of 10
quantity B represents the Baseball players with a value of 9.
Hence the ratio is [tex]\frac{10}{9} = 1.1111[/tex]
It can also be written as 10: 9
The decimal is a repeating decimal because the numbers after the decimal points take up a pattern that repeats themselves up to infinity.
13.12 / .10 equals what please help me
Answers
Answer:
131.2
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
13.12 / .10
132
What function is depicted in the graph above
Answers
Answer:
what graph show me the graph
Step-by-step explanation:
What is the arc measure of a 90 degree angle
Answers
it’s 1/4 of a circle.
Which pair of statement correctly compares the two data sets?
Answers
Answer:
please there are no data sets, i can't see them
Answer:
a
Step-by-step explanation:
Jack and his cousin Emma are picking apples in their grandparents' orchard. Jack has filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. Emma has 8 full baskets and will continue picking at 6 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take? How much fruit will they have picked by then?
Answers
Answer:
3 hours
26 baskets each giving a total of 52 baskets
Step-by-step explanation:
Jack has already filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. This means that in x hours he would have filled an additional 5x basket to the initial 11 baskets. Therefore the number of baskets that Jack would have filled in x hours can be given by:
11 + 5x
Emma has already filled 8 baskets with apples and is filling them at a rate of 6 baskets per hour. This means that in x hours he would have filled an additional 6x basket to the initial 11 baskets. Therefore the total number of baskets that Emma would have filled in x hours can be given by:
8 + 6x.
The time it would take Emma and Jack to have completed the same number of baskets can be gotten by using this equation and solving for x:
11 + 5x = 8 + 6x
11 - 8 = 6x - 5x
x = 3 hours.
It would take them 3 hours to fill the same number of baskets.
The number of fruits Jack would have picked in 3 hours = 11 + 5(3) = 26 baskets.
The number of fruits Emma would have picked in 3 hours = 8 + 6(3) = 26 baskets.
Both Emma and Jack would have picked 26 baskets each, giving a total of 52 baskets
Simplify x÷2+2x ÷3+3x÷4
Answers
Answer: 23/12x = 1.91667x
Step-by-step explanation:
X/2+2x/3+3x/4
1/2x + 2/3x + 3/4x
Complete equation of the line through (1,4) and (2,2)
Answers
Answer:
y = -2x + 6
Step-by-step explanation:
y=mx + c
m is the gradient and c is the y intercept
m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2
y= -2x + c
To find c, just sub one of the coordinates into the eqn:
By using the coordinates (1,4)
4 = -2(1) + c
c = 6
Therefore, the equation is y = -2x + 6
A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each
kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),
rounded up to the nearest kilometer.
Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee
is. She wants to know how far the journey was.
She has a previous bill from the same taxi company, for a different journey, for $21.80.
How far was her last journey?
Answers
Answer:
362 kilometre
Step-by-step explanation:
Let a be the total cost of a journey
let b represent the total distance of a journey
$1.75 is a fixed charge of a journey
the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b
a=1.75+0.1b
a =37.90
37.90=1.75+0.1b
0.1b=37.90-1.75
0.1 b=36.15
b=36.15 /0.10
b=361.5
b=362 kilometre
For the journey that cost 21.80
21.80=1.75+0.1 b
0.1 b=21.80-1.75
0.1 b=20.05
b=20.05 /0.1
b=200.5
b =201 kilometre
PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.
What is f(x)+g(x)?
Answers
Answer:
The answer is 13x-7
Step-by-step explanation:
f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.
Callie spins the spinner and rolls the number cube. What is the probability that she spins a five and rolls a six.The spinner has 8 sections.
Answers
Answer:
1/48
Step-by-step explanation:
This is a case of joint probability, and the desired result is the product of P(spins a 5) and P(rolls a 6): (1/8)(1/6) = 1/48.
the theme of patriarchal dominance in the Castle of Otranto
Answers
Step-by-step explanation:
In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.
what is the slope of the points (-6.4,-2.6) and (5.2,9)
Answers
Answer:
X= 1
Hope this helps you!
You bought a magazine for $5 and 20 erasers. If you spent a total of $11, how much did each eraser cost
Answers
Answer:
.30 cents
Step-by-step explanation:
11-5=6
6 divided by 20
Determine the probability of each event. Write impossible, unlikely,
as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.
Answers
Answer:
green
Step-by-step explanation:
ahahsvs asks d ja ssbsbs d
A. Translation
B. Glide reflection
C. Rotation
Answers
Answer:
Rotation.
Step-by-step explanation:
The preimage is rotated about a center clockwise 90 degrees.
Simplify :
(32/243)^4/5
Answers
Answer:
0.00006014573
Step-by-step explanation:
what i did was first complete (32/243) in parentheses,
Then i simplified 4/5 into a decimal and did the exponential value as a decimal to get 0.00006014573.
Hope you have a good day!,
sincerely,policekid0
what is the equivalent expression for a+a+a
Answers
Answer:
3a
Step-by-step explanation:
Note they all have the same amount of variables. Combine by adding:
a + a + a = 3a
3a is your answer.
~
Answer:
3a
Step-by-step explanation:
The answer is 3a simply because there is three a's, so just multiply one a by 3
How can I find the area of this irregular shape?
Answers
Answer:
the idea is to devide the shape into 3 smaller parts.
Step-by-step explanation:
devide it to three areas :
> semi-circle (0.5 * pi * R), R=5
>Square (10 * 10)
> triangle (0.5 * base * height),
bsse =10, height =7
Add them together.
Compare interior intersections and
exterior intersections. How are they the
same? How are they different?
Answers
Answer:
Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.
Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.
Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.
However, they are different, because each type is formed at different parts of the figure, one inside and one outside.
Nick is solving the equation 3x^2=20-7x with the quadratic formula
which values could He use for a, b and c
Answers
Answer:
C. a = 3
b = 7
c = -20
Step-by-step explanation:
x = -b+/- (sq) b^2 - 4ac.
Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0
S if you use your equation : 3x^2 = 20 - 7x
First you have to move everything to one side.
So it'll look like this:
3x^2 = 20 - 7x
-20 -20
3x^2 - 20 = -7x
+7x +7x
3x^2 - 20 + 7x = 0
don't forget that... Ax^2 +Bx+ C= 0
3 = A
7 = B
-20 = C
Use the quadratic function to predict f(x) if x equals 2.
f(x) = -3x^2 + 180x - 285
Answers
Answer:
When x = 2, f(x) = 63.
Step-by-step explanation:
In order to find the value of f(x), you have to substitute x = 2 into the function :
[tex]f(x) = - 3 {x}^{2} + 180x - 285[/tex]
[tex]f(2) = - 3{(2)}^{2} + 180(2) - 285[/tex]
[tex]f(2) = - 12 + 360 - 285[/tex]
[tex]f(2) = 63[/tex]
This graph relates the length in centimeters to the approximate length in inches. Lengths in Centimeters and Inches a coordinate plane, the x-axis is labeled Length in centimeters and the y-axis is labeled Length in inches. A line goes through points (0, 0), (1, 0.39), (2, 0.78). According to the graph, which must be true? A length of 8 centimeters is approximately 3.12 inches. A length of 3 inches is approximately 1.17 centimeters. A length of 5 centimeters is approximately 1.56 inches. A length of 6 inches is approximately 2.34 centimeters.
Answers
Answer: The Answer Is A!!!!
Step-by-step explanation:
Well, Logically All Of The Other Answers Make No Sense...
Enjoy!! <3
Answer:
A its just A ok
Step-by-step explanation:
Pat mixed .85/lb coffee with .55/lb coffee to form a mixture worth .75/lb. How many lbs of each should she use to make 120lbs of the mixture?
Answers
Which fraction lies between 0.70 and 0.75 on number line?
Answers
Answer:
Please see my attachment below.
It has the work to your question and should help you understand it visually.
Hope it helps.
A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection and be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights. Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.
Answers
Answer: For plato users
Plot the numbers on your number line
Firstly plot =52
Secondly plot = 64
Step-by-step explanation:
Could somebody please answer this ASAP
Im going to mark you brainiest
Answers
Answer:
2 idk i guessed
Step-by-step explanation:
Answer:
Infinite
Step-by-step explanation:
2x+y=3
6x=9-3y
Subtract 2x from both sides of the first equation and substitute:
y=3-2x
6x=9-3(3-2x)
6x=9-9+6x
0=0
This equation has infinite solutions. Hope this helps!
Colleen's movie collection contains 6 movies, including 2 action movies. What is the probability that a randomly selected movie will be an action movie?
Answers
Answer:
33.33% probability that a randomly selected movie will be an action movie
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
2 action movies out of 6.
Probability of selecting an action movie.
2/6 = 0.3333
33.33% probability that a randomly selected movie will be an action movie
Answer:
pobably yes
Step-by-step explanation: