Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] {x}^{2} - 6x + {y}^{2} - y = 2[/tex]
Add sides 9 + 1 / 4
[tex] {x}^{2} - 6x + {y}^{2} - y + 9 + \frac{1}{4} = 2 + 9 + \frac{1}{4} \\ [/tex]
[tex] ({x}^{2} - 6x + 9) + ( {y}^{2} - y + \frac{1}{4} ) = 11 + \frac{1}{4} \\ [/tex]
[tex] ({x - 3})^{2} + ({y - \frac{1}{2} })^{2} = \frac{44}{4} + \frac{1}{4} \\ [/tex]
[tex] ({x - 3})^{2} + ( {y - \frac{1}{2} })^{2} = \frac{45}{4} \\ [/tex]
______________________________________
Remainder :
[tex] ({x - a})^{2} + ({y - b})^{2} = {R}^{2} [/tex]
[tex]center = ( \: a \: , \: b \: )[/tex]
[tex]radiuc = R[/tex]
______________________________________
Compare :
[tex] ({x - a})^{2} + ( {y - b})^{2} = {R}^{2} [/tex]
[tex]( {x - 3})^{2} + ({y - \frac{1}{2} })^{2} = ({ \frac{ \sqrt{45} }{2} })^{2} \\ [/tex]
Thus ;
[tex]center = ( \: 3 \: , \: \frac{1}{2} \: ) \\ [/tex]
[tex]radius = \frac{ \sqrt{45} }{2} = \frac{ \sqrt{9 \times 5} }{2} = \frac{3 \sqrt{5} }{2} \\ [/tex]
Done...
❤❤❤❤❤❤❤❤❤❤❤❤❤
Related Questions
please help
6s - 10 = 10
what is s?
( 6 x ___ )
Answers
Answer:
10/3
Step-by-step explanation:
6s-10=10
6s=10+10
6s=20
S=20/6
s=10/3
So the value of s is 10/3
Simplify the expression
9y+4-6y
Answers
Answer:
3y+4
Step-by-step explanation:
9y-6y=3y
A six pack of Coca Cola costs $3.55. What is the unit rate?
Answers
Answer:
Step-by-step explanation:
O.5917
Should be ur answer
Answer:
59 cents
Step-by-step explanation:
When finding the unit rate, you need to end up finding what is the price for one product (basically a fraction with one on the bottom) to find this I just did 3.55 / 6 which gave me 59 cents, the price of one coca cola bottle.
√6 rational or irrational
Answers
Answer:
it is rational i think
Step-by-step explana
Find the solution of this system of equations
-X + 8y = -35
-X - 9y = 50
Answers
Answer: (-5,-5)
Step-by-step explanation: The two lines meet up at (-5,-5)
Answer:
y = 5
x= 75 ( not confident about x)
Express the ratio 5 : 20 as a percentage.
Answers
Suppose that five graduating seniors on a college basketball team receive the following first-
year contract offers to play in the National Basketball Association (zero indicates that the
player did not receive a contract offer): 0 0 0 0 $10000000
The college claimed that the average senior on this basketball team received a $2 million contract offer.
Explain how the college came up with this number and why this statement may be misleading.
Answers
9514 1404 393
Answer:
the average of the distribution is 2 millionthe distribution is highly skewedStep-by-step explanation:
The "average offer" is the average of the 5 offers: 4 that are 0 and 1 that is 10 million.
__
That will be misleading because the average is not very representative of the actual distribution. The actual distribution of offers is highly skewed toward lower values.
Help me pls!! thanks <3
Answers
Answer:
It is graph A
Step-by-step explanation:
Answer: A it your answer.
Step-by-step explanation:
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.05. If 408 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.03?
Answers
Answer:
The probability is [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.05[/tex]
The sample size is n = 408
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p (1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.05 (1- 0.05)}{408} }[/tex]
=> [tex]\sigma = 0.0108[/tex]
Generally the probability that the sample proportion will differ from the population proportion by greater than 0.03 is mathematically represented as
[tex]P( | \^ p - p| > 0.03) = P( \frac{|\^ p - p | }{\sigma } > \frac{0.03}{0.0108} )[/tex]
[tex]\frac{|\^ p -p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p -p | )[/tex]
So
[tex]P( | \^ p - p| > 0.03) = P( |Z|> 2.778 )[/tex]
=> [tex]P( | \^ p - p| > 0.03) = P( Z < 2.778) - P(Z < -2.777)[/tex]
From the z table the area under the normal curve to the left corresponding to 2.778 and -2.778 is
[tex]P( Z < 2.778) = 0.99727[/tex]
and
[tex]P( Z < -2.778) = 0.0027347[/tex]
So
[tex]P( | \^ p - p| > 0.03) = 0.99727 - 0.0027347[/tex]
=> [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
I need heLP PLS AND THXS
Answers
Answer:
SAS
Step-by-step explanation:
Answer:
SAS (side-angle-side)
Step-by-step explanation:
Find the critical value Zc necessary to form a confidence interval at the level of confidence c=0.82 what does Zc=
Answers
Answer:
The z-critical values are:
[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]
Step-by-step explanation:
The confidence level is, c% = 82%.
The significance level for the two tails are:
Left tailed:
[tex]\frac{\alpha}{2} =\frac{1-c\%}{2}[/tex]
[tex]=\frac{1-0.82}{2}\\\\=\frac{0.18}{2}\\\\\=0.09[/tex]
Right tailed:
[tex]1-\frac{\alpha}{2} =1-\frac{1-c\%}{2}[/tex]
[tex]=1-0.09\\\\=0.91[/tex]
The z-critical values are:
[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]
*Use the z-table.
HELP ASAP !! please i need urgent help
Answers
Answer:
Apply the rule
xmn = n√xm
to rewrite the exponentiation as a radical.
√m8
Step-by-step explanation:
please mark me as brainlest
Why is y=-12.5x have a proportional relationship
Answers
Answer:
A proportional relationship is any relationship that stays constant. since both sides of the equation do not change, this is a proportional relationship
Whats the CORRECT ANSWER giving brainliest to first correct 1
Answers
Answer:
C. 10 Miles
Step-by-step explanation:
All I did was count the units
Answer:
Its C.
Step-by-step explanation:
from (1,2) to (1,8) is 6, and from (1,8) to (5,8) is 4.
HELP ME PLEASE what is 80% of 40
Answers
32 is the correct answer. 40 times 0.8 because in decimal form, 80 percent equals 0.8:)
Answer:
32 80% of 40
Hope it is correct
If not I am sorry I tried my best
pls help i am giving 33 points pls answer correctly
Answers
Answer: x^2
Step-by-step explanation: the lines mean that the number is gonna be positive, so basically its asking for x times x, which is x^2
3x+2y=4,6x+3y=2 Solve the systems of equations by substitution
Answers
Answer:
x = -8/3, y = 6
Step-by-step explanation:
3x+2y=4 so x = (4-2y)/3
6x+3y=2
substiute x into the second equation
6((4-2y)/3) +3y = 2
2(4-2y) + 3y = 2
8 - 4y + 3y = 2
-y = -6
y = 6
Replace y into the first equation
3x + 2 (6) = 4
3x +12 = 4
3x = -8
x = -8/3
list all prime numbers. between 10 and 20
2 Identity these prime numbers from the clues
(a) it is less than 30
The sum of its digits is 8
(b) It is between 30 and 60
The sum of its digits is 10
Answers
Answer:
11, 13, 17, 19
Step-by-step explanation:
A) Find the prime #'s less than 30.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2) See which #'s add and is less than 30 but, equal to 8.
17.
B) Find prime #'s between 30 & 60
31, 37, 41, 43, 47, 53, 59
2) See which #'s add and is add to 10.
37.
Use trigonometric identities to simplify the expression.
sec^{2} (\frac{\pi }{2} -x) [sin^{2}(x)-sin^{4}(x)][/tex]
Literally have no clue on how to even begin this, so please help if you can!
Answers
meera is researching cruising speeds of different planes. which airplane has a greater cruising speed
Answers
Answer:
50,350
is answer
Answer:
Step-by-step explanation:
Speed = rate = slope
Find slopes:
Table:
(10, 70)
(20, 140)
Speed = 7 km/min
Graph:
(6, 90) , (4, 60)
Speed = (90 - 60) / (6 - 4) = 30/2 = 15 km/min. the greater cruising speed
slope: -2, y-intercept: -3
Write an equation of a line in slope intercept form with the given slip and y intercept
Answers
Answer:
Step-by-step explanation:
The slope intercept form of a line is Y=MX + B where M is the slope and B is the y-intercept.
We know both of these so the equation turns into Y=1/2X-3
One fourth of the sum of m and 2 minus the product of 7 and k
Answers
Answer:
1 / 4 ( m + 2 ) - 7k
Step-by-step explanation:
The chief purpose of medieval fairs was to
Answers
it had many purposes includeing to entertain and to compete
Step-by-step explanation:
Answer:
Although the main objective of the Medieval fairs were trade and commerce, every fair contained some element of merry-making. Possibly starting from merchants trying to sell their goods, people were determined to attract the most customers to their stalls. ... Medieval tournaments sometimes coincided with Medieval fairs.
Step-by-step explanation:
Pls help show your work thx
Answers
Answer:
7x 4.9= 34.3lbs
Step-by-step explanation:
W: IM SO SORRY IF IM WRONG!!
-Have a blessed day
Answer: 7*4.9=34.3lbs
Step-by-step explanation:
Write the equation that describes the line with slope = -8 and y -intercept = 2 in slope -intercept form (y=Mx+b).
Answers
Answer:
y=-8x+2
Step-by-step explanation:
The reason that is the answer is because the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept so y=mx+b would be y=-8x+2
Based on this dotplot and the sample of 25 online news readers, which conclusion can be drawn?
Answers
Answer:
It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.
Step-by-step explanation:
Answer:
There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.
Step-by-step explanation:
I just took the test, The other person is very wrong!!!
Write the expression below in standard form.
3ℎ − 2(1 + 4ℎ)
Answers
Answer:
3h–2(1+4h)
multiple the bracket by –2
3h–2-8h
then subtract the veriables
3h–8h–2
–5h–2
the answer is –5h–2
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.
Answers
Answer:
1. 15*15
2. 10*10
3. 3*3
Step-by-step explanation:
Answer:
Square the given value
Step-by-step explanation:
1. 15^2=225
10^2=100
3^2=9
A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.
Three tickets to a movie costs $37.50. If all tickets were the same price, what would be the cost of 2 tickets?
Answers
Answer:
$25 I believe
Step-by-step explanation:
You would take $37.50 divided by 3 and get $12.50 which is the price of 1 ticket
Then you would multiply $12.50 x 2 to get $25
Answer: $25.00
Step-by-step explanation: First you would divide $37.50 by 3 and get the price of one ticket which would be 12.50. Then you would multiply 12.50 by two and get $25.00.
List the sides of the triangle ABC from smallest to largest using the information below. *
Answers
Answer:
AB, BC, AC
Step-by-step explanation:
(9x + 29)° + (93 - 5x)° + (10x + 2)° = 180°
9x + 29 + 93 - 5x + 10x + 2 = 180
14x + 124 = 180
14x = 56
x = 4
m∠A = (9(4) + 29)° = 65°
m∠B = [93- 5(4)]° = 73°
m∠C = (10(4) + 2)° = 42°
m∠C < m∠A < m∠B
AB < BC < AC