Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
Answers
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
Learn more about the equation of a circle here-
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Related Questions
1) work out the size of angle x
2) give reasons for your answer
Answers
Find the coordinates of the vertices of each figure after the given transformation.
1) translation: (x, y) = (1 + 1, y - 5)
D(2.0), E(1.2), F(2.3). G(4,2)
A) D(-1, 1), E(-2, 3), F(-1,4), G(1,3) B) D(-4,-1), E(-5, 1), F(-4,2), G(-2, 1)
C) D(3,-5), E(2, -3), F(3,-2), G(5,-3) D) D(-4,1), E(-5,3), F(-4,4), G(-2,3)
ОА
О.
B
С
O
O
D
Answers
(X+1,y-5) you would add 1 to all x values and subtract 5 from all h values
please help me on this! will give u brainliest tyy.
Answers
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
Find the circumference of a circle with a radius of 4 units.
Answers
Answer:
image?
Step-by-step explanation:
pls help with my math
Answers
11x = 132
x = 12
7(12)-6 = 78
RTS = 78 degrees
Answer:
∠RTS = 57°
x=9
Explanation:
By just factoring out integers starting from 10 and going down. You can factor each one out. Add all together. And see whether all angles equal 180. And if they do. Then that's what x equals. Not the smartest of explanations but it works lol.
$121 is 16% of what?
Answers
Answer:
13.22%
Step-by-step explanation:
solve the equation and show the work please
Answers
Zahra completed a 5-kilometer race in 40 minutes. If she were able to keep the same pace, how many kilometers could she run in 72 minutes? 6 7 8 9
Answers
Answer:
9
Step-by-step explanation:
you can set up a proportion for it (i included a picture of it)
Answer:
I am just doing this to confirm the other person is right. It is 9.
Step-by-step explanation:
Please I need help,this is my little brother class
Answers
Answer:
It's down below. :)
Step-by-step explanation:
Actual answer: 247 - 83 = 164
Estimation: 250 - 80 = 170
.
Given the Statement
if two
Angles are right angle
then they are
Congruent .Write the Converse
and State
if the Converse is true or false.
Answers
Answer:
- If two angles are congruent, then they are right angles.
- It is true
Step-by-step explanation:
The given statement is;
If two angles are right angles, then it is said that they are congruent.
Now, from converse, inverse and contrapositive statements, we can say that if the conditional statement is given as "if x, then y", it means that the converse statement will be written as;
"If y, then x".
We just switched the hypothesis with the conclusion.
Therefore, the converse of the statement given in the question is:
If two angles are congruent, then it means they are right angles.
The original statement and the converse statement are equivalent, therefore the converse is true.
The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold the theater collected $1304.
How many adult tickets were sold.?
Answers
During the summer, you had an ice cream cone with
your friends almost every day. Your parents bought
a half gallon of ice cream for $4.75. It was on
Sale for 15% off. What was the sale price?
Answers
Answer:
$4.04
Step-by-step explanation:
Since the ice cream is 15% off, that means you will have to subtract 0.15 from 1, since 1 is 100%, and 0.15 is 15%. If you do the math, then you will get 0.85, which translates to 85%. So now that we have found the percentage of the original price that we have to pay, we can do some more advanced calculations. Since we found the 1 - 0.15 = 0.85, we will multiply the original price, which is $4.75, by 0.85. You can do this by hand or by calculator. You will get 4.0375, which is your answer. Since this is about money, you will have to add a $ sign at the beginning, which would be $4.0375. Of course, you can't pay a percentage of a cent, so you would have to round that up to $4.04. In conclusion, the sale price of the half-gallon of ice cream is $4.04.
Please mark as Brainliest!!!A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
needed. How many teaspoons are needed for 5 cups of flour? Answer as a
decimal and without units. *
Answers
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
f(x) = x^2+ 2x-5
g(x) = 3x^2-4x+1
What is f(x) - g(x)?
A) [tex]-2x^2-2x-4[/tex]
B) [tex]-2x^2+6x-6[/tex]
C) [tex]4x^2-2x-4[/tex]
D) [tex]4x^2+6x-6[/tex]
Answers
Answe
Step-by-step explanation:
B
Find the slope from the table.
Calories Burned
Minutes
0, 10, 20, 30
Calories
0, 50, 100, 150
Answers
Answer:
5 is the slope
Step-by-Step Explanation:
(10, 50) x1 and y1
(20, 100) x2 and y2
[tex]\frac{100-50}{20-10}[/tex]=[tex]\frac{50}{10}[/tex]
50÷10=5
If this helped you make sure to make my answer brainliest. Thank you.
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles? *
Answers
Answer: 3.4%
Step-by-step explanation:
divide 258 and 74 then round that answer to the nearest tenth place.
Answer: 28.7%
Step-by-step explanation:
74 ÷ 258 = 0.2868
0.2868 ---> 28.68 ---> 28.7%
What are the Oder of operations
Answers
Answer:
PEMDAS
Step-by-step explanation:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
Write a unit rate for the situation.
$100 donated for every 5 volunteers
PLZZZ I NEED HELP
Answers
Answer:
50 dollors
Step-by-step explanation:
write an exponential function in the form y=ab^x 0,6 2,96
Answers
Answer: y = 20*4^x
Step-by-step explanation:to find the value of the constants a and b, we just need to use the points given in the equation and solve the system of equations:
point (0,20): x = 0 and y = 20:
20 = a*b^0 = a*1 = a
a = 20
point (2,320): x = 2 and y = 320
320 = 20 * b^2
b^2 = 16
|b| = 4
b = 4 or b = -4
So we have two exponencial equations that pass through these points:
y = 20*4^x and y = 20*(-4)^x
As the questions asks for just one equation, we can answer y = 20*4^xIf you have two points, (x1, y1) and (x2, y2), you can define the exponential ... these points by substituting them in the equation y = abx and solving for a and b. ... In this form, the math looks a little complicated, but it looks less so after you ... Taking 1910 as the starting point, this gives the pair of points (0, 1.75) and (100, 6.87). which well turn out to be y=6(4)^x
help me on this questioj pelase
Answers
Answer:
A
A
Step-by-step explanation:
8) because of the rules of angles we know that all angles found on a line are equal to 180 degrees, and all angles opposite one another are equal. because of this A is not possible. 90 and 40 do not add up to 180 degrees, and are not equivalent to each other.
9) using the same rules as above, we know that the two angles have to add up to 180 degrees (they can't be equal this time). A is not possible.
PLEASE HELP ME!!!!!! I really need help!
Answers
Answer:
2 to 6, 3 to 9, and 4 to 12
Set up this equation. There are 20 animals in my house. Some are cats and some are ducks. There are 72 legs in all. *
Answers
Answer:
System of equations:
x + y = 20
2x + 2y = 72
Step-by-step explanation:
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answers
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
HELP PLEASE
1. (03.08)
Solve x2 + 2x + 9 = 0. (2 points)
Ο χ= -2412
X= -2+212
Ο Ο Ο Ο
χ= -14412
Ο χ= -14 21 2
Answers
Answer:
Step-by-step explanation:
if we are supposed to solve [tex]x^{2}[/tex] + 2x + 9 = 0 there here is the solution
using the quadratic formula
= (-2 ± [tex]\sqrt{2^{2}-4*9 }[/tex] )/2
= (-2 ± [tex]\sqrt{-32}[/tex]) / 2
= (-2 ± i [tex]\sqrt{16*2}[/tex])/2
= (-2 ± i 4[tex]\sqrt{2}[/tex])/2
= -1 ± i 2[tex]\sqrt{2}[/tex]
complex number land :)
round 17.5 to the nearest 1
Answers
Answer:
18
Step-by-step explanation:
.5 is 5 4 and below round down 5 and up round up
Will give brainliest to a good explanation and some strong evidence to back it up (i rlly need help)
Answers
plzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
18x to the power of 2 -15x+2
Step-by-step explanation:
Find 25% of 108 grams.
Answers
Answer:
27 Grams
Step-by-step explanation:
Plzzz helppppp !!!!! Write this as an equation that represents the function
Answers
Step-by-step explanation:
y = mx + c
When x = 0, y = 2.
=> (2) = m(0) + c, c = 2.
When x = 3, y = 8.
=> (8) = m(3) + 2, 3m = 6, m = 2.
Hence the answer is y = 2x + 2.
SOMEONE HELP ME I GO CLASS IN 10 MINS!!
Answers
Answer:
i think its mq
Step-by-step explanation: