Answers
The equation of the circle for all the given values is obtained as x² + y² + 8x + 2y + 8 = 0.
How to write an equation for a circle?The equation for a circle can be written by knowing the coordinates of its centre and the length of its radius.
Since the radius is the distance from the centre to a point on the circle, the equation can be written by distance formula as s (x - h)² + (y - k)² = r² where (h, k) is the coordinate of the centre.
The coordinates of the centre of the circle is given as (-4, -1).
And, the radius is 3.
The general equation of the circle for centre at (h, k) and radius r is given as (x - h)² + (y - k)² = r².
Substitute the corresponding values to obtain,
(x - h)² + (y - k)² = r²
=> (x - (-4))² + (y - (-1))² = 3²
=> (x + 4)² + (y + 1)² = 9
=> x² + 8x + 16 + y² + 2y + 1 = 9
=> x² + y² + 8x + 2y + 8 = 0
Hence, the required equation for the circle is given as x² + y² + 8x + 2y + 8 = 0.
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Related Questions
Find l.
10 in.
l
l = [?] ir
1
1
6 in.
Answers
Answer:
[tex]l=\sqrt{109}[/tex] in
Step-by-step explanation:
[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]
hope it helps....
A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. Which of the following is an appropriate pair of hypotheses for the manager to use?
A. H0 : Work experience is independent of the time of an employee's shift.
Ha, : Work experience is dependent on the time of an employee's shift.
B. H0 : Employees with over 20 years of experience are just as likely to start work
at 8PM
Ha : Employees with over 20 years of experience are less likely to start work
at 8 P.M.
C. H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
D. H0 : For each shift, there is no difference between the proportions of work
experience level
Ha : For each shift, there is a difference between the proportions of work
experience level.
E. Ha : Among those in the sample, the proportion of employees for each work
experience level did not differ by shift.
Ha : Among those in the sample, the proportion of employees for each work
experience level did differ by shift.
Answers
Answer:
An appropriate pair of hypotheses for the manager to use is:
C.
H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
Step-by-step explanation:
These research hypotheses compare the incidence of employee's work experience and the baseline group (the employee's shift).
These hypotheses tests are statistical tools which assess whether or not there is an association between the two variables (work experience and shift).
The null hypothesis test will provide the probability of the type 1 error (p-value).
Based on the result, the research will accept or reject the null study hypothesis.
Answer:
A) H0 : Work experience is independent of the time of an employee’s shift.
Ha : Work experience is dependent on the time of an employee’s shift.
Step-by-step explanation:
A chi-square test of independence is appropriate. The null hypothesis expresses that there is not an association between two categorical variables (work experience and time of shift) and the alternative hypothesis expresses that the categorical variables are associated.
Find the measure of x1.
{
83°
41
{
41 = [?]
Answers
Answer:
Solution given:
< 1+ 83°= 180 [co- interior angle]
<1=180-83=97°
<1=97° is your answer
One diagonal of square EFGH is shown on the coordinate grid.
G
0
4 5 6
Which of the following statements is correct?
A А. The location of point F could be (1,6) because diagonals of a square are congruent and perpendicular.
B. The location of point F could be (-1, 6) because diagonals of a square are similar and perpendicular.
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
The location of point F could be (1,6) because diagonals of a square are similar and perpendicular.
D.
Answers
Answer:
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
Step-by-step explanation:
I took the quiz. I hope this helps :)
if 5 miles= 8 km, convert 40 mules to kilometers
Answers
Answer:
64.3738
Step-by-step explanation:
Answer:
64km
Step-by-step explanation:
5miles= 8km
40/5= 8
8x8= 64km
The radius of a circle is 25 millimeters. Find the diameter.
Answers
If you know the radius of the circle, you double it to get the diameter. if the radius is 25mm than the diameter will be 25mm×2, which gives you 50
What is 77 divided by 10
Answers
Answer:
7.7
Step-by-step explanation:
Answer:
77 divide by 10 answer is 7.7
math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS
Answers
Answer:
Im pretty sure you can just search this up number by number and you will find all the answers
Find the surface area of a cylinder with a height of 11 feet in a base radius of 3 feet
Answers
Answer:
the answer is about 263.89 feet
find the median of the list of data. 12, 18, 21, 25, 30, 43
Answers
=21 and 25
(21+25)/2
=23
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
Angle 8 because it is a different measure to the other options.
Step-by-step explanation:
Congruent means the angles are the same and angle 8 is not the same as angle 7.
A store sells 8 cans of for $22. How much would it cost you to buy 3 cans of fruit cocktail? ?
Answers
the answer is 8.25 or 8 1/4
you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75
now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.
this would give you 8.25 which is your answer
if this was useful please mark brainliest! （>∀<）
Answer:
3 cans of fruit cocktail would cost $8.25
Step-by-step explanation:
[tex] \frac{22}{8} = 2.75[/tex]
2.75*3=8.25
Can Someone Help Me. ?
Answers
Answer: 2/4
Step-by-step explanation:
rise/run
If an object is projected upward into the air from ground level, then the height h(t) of the object
in feet at time t in seconds is given by:
h(t) = -16t^2+ 344t
How long does it take for the object to hit the ground? SHOW ALL WORK clearly and neatly - do not skip
steps. The show all work part cannot be stressed enough.
Answers
Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
Which of the following factors does not affect the mortgage payment?
A. The down payment
B. Interest rates
C. The neighborhood the home is located in
D. The borrower's credit score
Answers
Answer:
I think D does not affect t
The correct factors which does not affect the mortgage payment is,
⇒ The neighborhood the home is located in.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
A mortgage can be defined as a loan where ones property is used as a collateral. The mortgage payment is based on property price, interest rate, down payment, the term of the loan, taxes, various insurance like homeowners insurance etc.
Hence, It's not depend on ''The neighborhood the home is located in.''
Option C is true.
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Suppose that shoe sizes of American women have a bell shaped distribution with a mean of and a standard deviation of Using the empirical rule what percentage of American women have shoe sizes that are at least 6,887 Please do not round your answer .
Answers
Answer:
i dont know
Step-by-step explanation:
factoring review 2 terms 1-8
Answers
Answer:
ok
Step-by-step explanation:
whats the question?
A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.
Answers
Answer:
A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.
Step-by-step explanation:
Sana nakatulong
Answer:
A
Step-by-step explanation:
If Quamie purchased 5 pencils for 20¢, how much will 20 pencils cost?
Answers
Answer:
80 cents
Step-by-step explanation:
Answer:
80 cents
Step-by-step explanation:
if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!
Only one question pls help
Answers
Cos x = 5 / 9 ==》 Cos x = 0.55
==》 x = 56 degrees
In ΔPQR, sin P = 0.3, sin R = 0.8 and r = 16. Find the length of p. Please show your work.
Answers
Answer:
p = 6Steps:
sin(P)/p = sin(R)/r
given: sin(P) = 0.3 , sin(R) = 0.8 , r = 16
0.3/p = 0.8/16
0.3/p = 8/10×1/16
0.3/p = 8/160
0.3/p = 1/20
p = 3/10×20
p = 60/10
p = 6
Q5. Convert 7000 yards into kilometres. Given that 1km = 1093.6 yards
1)6km
2)O 62km
3)7.3km
4)O 6.4km
Answers
Answer:
4. 6.4km
Step-by-step explanation:
I hope this helps ^-^
please answer the following quickly!!!!
Answers
Answer:
A could only be 3 or 6
their sum would be 9
Step-by-step explanation:
Which of the following could be the perimeter of the three squares below?
Answers
Answer:
I would say B
Step-by-step explanation:
I have done the calculations and my research matches B
XDDD
Easy math help ,,,,,,The set of ordered pairs shown below represents a linear function. What is one other pair of coordinates that could be the missing ordered pair (x, y) in this set? Show or explain how you determined your answer.
(-4,-2),(0,-1),(4,0),(x,y)
Answers
Answer:
(8, 1)
Step-by-step explanation:
The mx for this set of coordinates is 4x so the next point in this set would be (8, 1)
Explanation:
please answer fast :)
Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.
Answers
Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ♀️
I need to get this right man
Answers
Find the perimeter of trapezoid TRUE.
Answers
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
12 yd
10 yd
12 yd
Total Surface Area =
Tyds squared
yds cubed
Volume =
Answers
length l = 12 yd
width w = 10 yd
height h = 12 yd
diagonal d = 19.697715603592 yd
total surface area Stot = 768 yd2
lateral surface area Slat = 528 yd2
top surface area Stop = 120 yd2
bottom surface area Sbot = 120 yd2
volume V = 1440 yd3
write down four common multiple of 9 and 6
Answers
Answer:
18, 36, 90, 180 are common multiples of 9 and 6Step-by-step explanation:
1 Answer
multiples 6:{6,12,18,24,30,36,42,48,54,60,66,..}
multiples 9:{9,18,27,36,45,54,...}
common multiples {18,36,54,... }