What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9
Answers
Answer: Center (3,-5); radius 3
Step-by-step explanation:
The center and radius of the circle defined by the equation is (3, -5) and 3.
What is Equation of Circle?The standard equation of a circle is given by:
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
We have Equation,
x² + y² -6x + 10y +25= 0
Now, rearranging the terms
x² -6x + y² +10y +25 = 0
Now, add and subtract 9
x² -6x + 9 + y² +10y +25 -9 = 0
(x-3)² + (y+5)² = 3²
(x- 3)² + y(-(-5))² = 3²
So, the Centre of Circle is (3, -5) and the radius is 3.
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Related Questions
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?
Two
None
Infinitely many
One
Answers
There could only be one aolition
ATTEMPT SCORE 7 / 13 01 Fill in the Blank Text Fill in the blanks to show the product. 1. (x2 + 6) (2 - 4) = x T 2 + 2 2 + 24 2. (2x + 5)(x - 3) = 2 x 2 + 1 C + 15 3. (3x + 2)(2.x + 5) = 6 + 19 2 + 10 4. (2x - 1)(x - 5) = 2 22 +11 2 + 5 02 Math Short Answer they said I got it wrong so please help.
Answers
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Answers
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
HELP ME PLZZZZZZ AND THANK YA ILL GIVE BRAINILIEST THINGY-MA-GIGGY
a cone has a volume of 24 cubic feet. a cylinder has a congruent base to the cone. the cylinder is the same height as the cone. how many cubic feet will the cylinder hold?
A) 8 B)58 C)72
Answers
Answer:
hewo Asuna here
your answer is C
Step-by-step explanation:
hope this helps^^
What is the value of y
Answers
Answer:
85 i thinkkkk
Step-by-step explanation:
Third one (Probably two or one more left)
Answers
6×25= 150
17×5= 85
150+85= 235
the answer is 235 :3
6. What percent of 24 is 12?
Answer plsss
Answers
Answer:
50%
Step-by-step explanation:
To find our answer will will first put it into an equation as [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex]. Because we are cross multiplying we will multiply 100 by 12 and we get 1,200. Now because we are solving for x we will divide 1,200 by 24, which is 50%. Therefore, 50% is our answer.
Please I need help for this..
Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.
Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.
Answers
Answer: m=1/8h
Step-by-step explanation:
When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.
if you are to measure the following figure for real,what tool(ruler or meter stick) and unit of measur(m, cm, in,) will you use..........
help me guys plsss
Answers
Write 0.0000000000048 as a multiple of a power of 10.
Answers
Answer:
Step-by-step explanation:
6.492506e-114
Answer:
4.8 x 10^-12
hope this helps
have a good day :)
Step-by-step explanation:
A transformation is applied to the graph of f (x) = 2x2 + 3x - 4 to create a new graph for g(x) = 2x2 + 3x + 7.
Which statement describes the transformation?
OA. The graph will shift up 7 units.
OB. The graph will shift up ll units.
O C. The graph will shift down 7 units.
OD. The graph will shift down 11 units.
Answers
Answer:
b
Step-by-step explanation:
Janet has 4 more dollars than Marta. Together they
have $38. How much does each person have?
Answers
Answer:
Janet has $21 and Marta has $17
Step-by-step explanation:
38-4 since Janet has 4 more dollars
34/2 since there are two people
17 but you still have to add the 4 to Janet since she has 4 more dollars
Answer:
Marta has $15, and Janet has $23.
Step-by-step explanation:
38 in half is 19.
19 + 4 = 23
19 - 4 = 15
how to find the volume of this cube
Answers
1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
Answers
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).
4.4s + 6.2 = 8.8s - 1.8
please help
Answers
Answer:
s = 1.81
Step-by-step explanation:
4.4(1.81)+6.2=8.8(1.81)-1.8
plug in and multiply if you'd like to clarify :)
Answer:
=Steps
4.4s+6.2=8.8s−1.8
Multiply both sides by 10
4.4s· 10+6.2· 10=8.8s· 10−1.8· 10
Refine
44s+62=88s−18
Subtract 62 from both sides
44s+62−62=88s−18−62
Simplify
44s=88s−80
Subtract 88s from both sides
44s−88s=88s−80−88s
Simplify
−44s=−80
Divide both sides by −44
−44s
−44 =
−80
−44
Show Steps
Simplify
s=
20/11
Step-by-step explanation:
The expanded form of 3(4a) is:
Answers
Answer:
12a
Step-by-step explanation:
Use the distributive property and distribute 3 into 4a.
The expanded form of the expression 3(4a) is, 12a.
What are the basic properties of arithmetic laws of operations?There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, An expression 3(4a),
We know in algebra we write multiplications a×b as, ab or a.b.
Therefore, the expanded form of the expression 3(4a) is,
= 3×4×a.
= 12×a.
= 12a.
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The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.
Answers
Answer:
[tex]h=5.11ft[/tex]
Step-by-step explanation:
[tex]S=12+6+14/2=16[/tex]
[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]
[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]
[tex]A=\sqrt{16×2×4×10}[/tex]
[tex]A=35.70[/tex]
[tex]A=1/2× base~×height[/tex]
[tex]35.70=1/2×14×h[/tex]
[tex]h=2×35.75/14[/tex]
[tex]h=5.11ft[/tex]
｡･:*:･ﾟ★,｡･:*:･ﾟ☆
hope it helps...
have a great day!!
Calculator
A normal distribution has a mean of 102 and a standard deviation of 2.9.
What is the z-score of 105?
Enter your answer, rounded to the nearest hundredth, in the box.
Answers
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
May some one please answer this for me, if u are right i will give u brainliest
Answers
Answer:
b. 14x+4y
Step-by-step explanation:
The perimeter is determined by two times the length plus two times the width.
We will use the formula P = 2L+2W:
P = 2L+2W
P = 2(5x-y)+2(2x+3y)
P = (10x-2y)+(4x+6y)
P = 14x+4y
Consider this system of equations. y=2x x+2y=15
Answers
Answer:
x=3
y=6
Step-by-step explanation:
ez pz
AB is the midsegment of AXYZ and PQ is the midsegment of XAB. What is the relationship in length between PQ and YZ? O PQ = 1/8 Y Z O PQ = 1/2YZ O PQ = 1/4Y Z O PQ = 1/3YZ
Answers
Answer:
third option: PQ = 1/4(YZ)
Step-by-step explanation:
By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:
In triangle XYZ, AB = 1/2(YZ)
And in triangle XAB, PQ = 1/2(AB)
We can substitute AB into the second equation to get:
PQ = 1/2(1/2(YZ))
PQ = 1/4(YZ)
This is the third option.
Solve the equation 2032 * 93 equals?
Answers
Answer:
188976
Step-by-step explanation:
2032 x 93 = 188976
Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answers
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
37% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.37[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]
[tex]n = 1030.4[/tex]
Rounding up:
A sample size of 1031 is required.
6th GRADE, PLS HELP ME WITH THE IMAGEEEE
Answers
Answer:
y=7x
Step-by-step explanation:
Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.
If this helps please mark as brainliest
Step-by-step explanation:
6x7=42
7x7=49
8x7=56
9x7=63
please help a brotha out and i'll give you brainliest
Answers
Answer:
First box: 15 * 10^10.
Second box: 300,000,000 meters per second.
Third box: 48 * 10^-13 meters.
Fourth box: 167 * 10^-29 meters.
Step-by-step explanation:
These should be correct! I put them in order from the top empty box to the bottom empty box!!!
Please mark brainliest if correct!!!
Mrs. Clark has 7 candy bars to share equally with all the students in his class. He gives each student 1/4 of a bar. None of the chocolate bar is left over. How many students does he have in his class?
Answers
Answer:
28
Step-by-step explanation:
7×4
aaaaaaaaaaaaaaa
1.4 and its solved by the percentage of the 7
Express this decimal 0.8 as a fraction
Answers
Answer: 4/5
How to: Convert to a mixed number by placing the numbers to the right of the decimal over 10 . Reduce the fraction.
Have a great day and stay safe ! so sorry if wrong
Answer:
8/9
Step-by-step explanation:
i got it righttt
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answers
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive.
Their data are shown in the box plots.
the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.
Write your answer in the space below.
1
Answers
Answer:
Tom = 5
Susan = 3
Step-by-step explanation:
FROM THE BOXPLOT :
Tom's IQR :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 9 - 4
IQR = 5
SUSAN :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 8 - 5
IQR = 3