Determine the equation of a circle with center (5,-3) and radius of 9
Answers
Step-by-step explanation:
solve by using the formula
The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²
(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0
Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.
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Related Questions
a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answers
Answer:
4.50
Step-by-step explanation:
2.25 plus 2.25 aka half
A doctor gives a patient a 70% chance of surviving bypass surgery after a heart attack. If the patient
Isurvives the surgery, then the patient has a 40% chance that the heart damage will heal. Find the
probability that the patient survives the surgery and the heart damage heals. The probability is nothing
Answers
Answer:
The probability the person will survive the bypass surgery and that the heart damage will heal is about 28%
Step-by-step explanation:
(7/10)*(4/10)*100=28
To solve for probability of situations like this you have to multiply the fractional values of the two percentages and multiply by 100 to get the new percentage.
Using conditional probability, it is found that there is a 0.28 = 28% probability that the patient survives the surgery and the heart damage heals.
Conditional Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Surviving.Event B: Healing.70% chance of surviving, thus [tex]P(A) = 0.7[/tex].If the patient survives, 40% chance of healing, thus [tex]P(B|A) = 0.4[/tex].The probability of both is [tex]P(A \cap B)[/tex], then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)P(A)[/tex]
[tex]P(A \cap B) = 0.4(0.7)[/tex]
[tex]P(A \cap B) = 0.28[/tex]
0.28 = 28% probability that the patient survives the surgery and the heart damage heals.
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In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.
Answers
A rate of change tells us how one quantity changes in relation to another quantity.
The annual rate of change in the number of students in the band is 5.
What is rate of change?A rate of change is a rate that tells us how one quantity changes in relation to another quantity.
We have,
Number of students in the band in 2012 = 275
Number of students in the band in 2018 = 305
The rate of change in the number of students in the band:
= 305 - 275 / 2018 - 2012
= 30 / 6
= 5
Thus the annual rate of change in the number of students in the band is 5.
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What is the end behavior of the graph? *
The graph decreases as x goes to -infinity and increases as x goes to infinity
The graph increases as x goes to -infinity and increases as x goes to infinity
The graph decreases as x goes to -infinity and decreases as x goes to infinity
The graph increases as x goes to -infinity and decreases as x goes to infinity
Answers
Explanation:
That was right for me
My question is
4(2 - W) + w = 20
Answers
Answer:
- 4
Step-by-step explanation:
Step 1:
4 ( 2 - w ) + w = 20 Equation
Step 2:
8 - 4w + w = 20 Multiply
Step 3:
8 - 3w = 20 Combine Like Terms
Step 4:
- 3w = 12 Subtract 8 on both sides
Answer:
w = - 4
Hope This Helps :)
Answer:
w = -4
Step-by-step explanation:
4(2 - W) + w = 20
Distribute:
8 - 4w + w = 20
Subtract 8 from both sides:
-4w + w = 12
Simplify:
-3w = 12
Divide:
w = -4
Double check your work by substitution:
4(2 - W) + w = 20
4(2 - (-4)) + (-4) = 20
4(6) + (-4) = 20
24 + (-4)= 20
20 = 20
Since we know that 20 does equal 20, we can conclude that the final answer is:
w = -4
The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.
Answers
Answer:
C
Step-by-step explanation:
Each year will have 25 student
a bag contains 12 blue marbles and 8 blue what is the ratio of blue to red
Answers
Answer:12:8 or 12 to 8 or u could do it in fraction form
Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:
A. [tex]1^{3}[/tex]
B. [tex]1^{10}[/tex]
C. [tex]14^{3}[/tex]
D. [tex]14^{10}[/tex]
Answers
Answer:
The answer is D 14^10
Answer:
A
Step-by-step explanation:
4 km - 280 m
what is the answer
Answers
Answer:
Look at step-by-step
Step-by-step explanation:
Either 120 m or 1.2 km
Answer:
3.72 kilometers
Step-by-step explanation:
just subtract man
1
6 + 10 ÷ 2 − 32 = ?
A.
2
B.
1
C.
0
D.
−1
E.
−2
Answers
Answer:
b
Step-by-step explanation:
its b
Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 500 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error.
a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500.
b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500.
c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500.
d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500.
Answers
Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500
Step-by-step explanation:
Given that :
Null hypothesis : H0 =500
Alternative hypothesis : Ha < 500
Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.
Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.
Answer: A) Rejecting the mean weight of each cake as 500 grams when H₀ = 500.
Step-by-step explanation:
Type I error is when we incorrectly reject a true null hypothesis
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answers
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
Answers
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answers
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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I tried and couldn't get it can someone help me out
Answers
Answer:
I think it would be B)
Step-by-step explanation:
This problem seems badly worded and/or vague.
It looks like you plugged x = 3 into the inverse [tex]f^{-1}(x)[/tex] function to get 3 as the output, which is correct.
However it seems like your teacher wants you to find the (x,y) point on f(x). This means s/he is asking "what x value will get us y = 10?" As you found through working with the inverse, the x value x = 3 does that.
We can see it as such
f(x) = 3x+1
f(3) = 3*3+1
f(3) = 10
So in a sense, you were working backwards.
The point (3,10) is on the graph of f(x)
While the point (10,3) is on the graph of [tex]f^{-1}(x)[/tex]
It's likely your teacher wants you to select choice C
the area of a square is 73.96 m^2 .calculate the length of its side.
---------------------------------------------------
give me the answer step by step I know its answer is 8.6 m but I need its formula
Answers
It a bc i said so hahahahaha
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
Answers
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
How long before noon does written human history begin?
Answers
Answer:
I don't instead feed the question, but anyone older than 50 years id considered history.
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
Answers
Using synthetic division, what is the quotient of this expression? 2x^2 + 5x - 7 divided by x - 2
A. 2x + 7
B. 2x + 9 + 11 divided by x - 2
C. 2x + 1 - 5 divided by x - 2
D. 2x - 5
Answers
Answer: 2x + 9 + 11/x - 2
Step-by-step explanation:
2x^2 + 5x - 7 divided by x - 2 we get quotient 2x + 9 .
What is synthetic division algebra?Synthetic division is a method for doing Euclidean division of polynomials that requires less writing and calculations than long division. The approach is most commonly taught for division by linear monic polynomials (known as the Ruffini's rule), but it can be adapted to division by any polynomial.Divide the dividend by the divisor to find the quotient of a division problem. This can be accomplished by using repeated subtraction or lengthy division. The quotient of two integers, two fractions, or two algebraic terms can be found.[tex]\frac{2x^2 + 5x - 7 }{x-2}[/tex] after Synthetic division we get 2x + 9 as the quotient and reminder 9
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A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours
Answers
Answer:
9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900
Mark me as brainliest if u found the answer helpful
Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000
and 1800 times 6 is 10800 plus 21600 is.......226800
Step-by-step explanation:
do the math!!!!!
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answers
Answer:
The greatest common factor (GCF) of the two numbers is 330.
Step-by-step explanation:
Given;
prime factors of the two numbers = 2, 3, 5, and 11
The greatest common factor (GCF) of the two numbers is given as;
Greatest Common Factor (GCF) = 2 x 3 x 5 x 11
Greatest Common Factor (GCF) = 330
Therefore, the greatest common factor (GCF) of the two numbers is 330.
Answer:
330
Step-by-step explanation:
how do I find range and domain
Answers
DOMAIN: to find the domain set the bottom equal to zero and exclude the X value you find when you solve the equation.
Solve and show the steps to the picture attached
Answers
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST
Answers
Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong
Step-by-step explanation:
Daichi wo fumishimete
Kimi wa mezameteiku
Put the numbers in order from smallest to largest.
1 .
9.15
fourth
2 .
9.376
second
3 .
9.51
third
4 .
9.3
what would it be
Answers
Answer:
Step-by-step explanation:
1/4
1/3
1/2
1
2
3
4
9.15
9.3
9.376
9.51
At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager
Answers
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
Fraction form of probability: 10/15
Decimal form: 0.6 repeated
Percent form: about 66.67%
The probability that person is either a lifeguard or manager is 2/3.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.
Total = 2 + 8 + 3 + 2 = 15
So, P(lifeguard) = 8/15, P(Manager) = 2/15.
Then, P ( lifeguard or Manager)
= 8/15 + 2/15
= 10/15
= 2/3.
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An integer divided by an integer is an integer
Answers
Answer:
an integer divided by an integer will always result in a fraction- therefore, the resultant number will not be an irrational number and there will always be either a repeated pattern or a single set of decimal points. Take for example 3/4= 0.75. As you can see the number is a rational number that is real.
Step-by-step explanation:
An integer divided by an integer is sometimes not an integer.
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answers
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
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How can you use a number line to find the sum of -8 and 9?
Answers
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.