Answers
9514 1404 393
Answer:
(x -6)^2 +(y -6)^2 = 10
Step-by-step explanation:
To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.
d^2 = (x2-x1)^2 +(y2-y1)^2
The radius is the distance between the two points shown, so we have ...
d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10
__
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
For (h, k) = (6, 6) and r^2 = 10, the equation is ...
(x -6)^2 +(y -6)^2 = 10
Related Questions
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 6 = 472, find sin .
[?]
sin 0:
O
Simplify the fraction.
Answers
Answer:
[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]
Step-by-step explanation:
We know that:
sin(x)^2 + cos(x)^2 = 1
And we know that:
[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]
We want to find the value of the sine function evaluated in theta.
If we replace that in the first equation, we get:
[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]
[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]
Now we can just isolate the sine part of that equation, so we get:
[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]
[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]
(We can't simplify the fraction anymore)
what is the solution set for this inequalty? -8x + 40> -16
Answers
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
What is the value of
(x3 x 7y÷)(10.6+5.4)for x=2 and y=6?
Answers
Step-by-step explanation:
Hope you can correct you question
find x and y. For one point extra credit each, give the correct name for point P.
Answers
Answer:
where is the question?
Step-by-step explanation:
Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Answers
Answer:
Cost of a coffee = $1.5
Cost of a muffin = $1.25
Step-by-step explanation:
Given:
Cost of 3 coffee and 2 muffins = $7
Cost of 2 coffee and 4 muffins = $8
Find:
Cost of each
Computation:
Assume;
Cost of a coffee = a
Cost of a muffin = b
So,
3a + 2b = 7 .......... Eq1
2a + 4b = 8 .......... Eq2
Eq1 x 2
6a + 4b = 14 ......... Eq3
From Eq3 - Eq2
4a = 6
a = 1.5
Cost of a coffee = $1.5
3a + 2b = 7
3(1.5) + 2b = 7
4.5 + 2b = 7
b = 2.5/2
b = 1.25
Cost of a muffin = $1.25
does anyone know this?
Answers
Answer:80^w2−48
Step-by-step explanation:
Answer:
If You Factor it it will be (w+8) (5w2-3)
Step-by-step explanation:
Find the value of x that makes m || n
Answers
Answer:
x = 133
Step-by-step explanation:
x + 14 = 147
x (+ 14 - 14) = 147 - 14
x = 133
What is the equation of the curve that best fits the data? Round to the nearest hundredths, when appropriate. picture*
Answers
Answer:
.....
Step-by-step explanation:
Up and down
Answer for brainlest
Answers
Answer:
∠1 = ∠8
Step-by-step explanation:
Because they are ALTERNATE EXTERIOR ANGLE
Answer:
∠1 = ∠8
Step-by-step explanation:
Because alternate exterior angles are equal.
Also there is no angle given so you cant work them out.
simply put:
∠1 = ∠8
∠1 = ∠4
∠3 = ∠2
∠1 = ∠5
∠2 = ∠6
∠2 = ∠7
∠5 = ∠8
∠4 = ∠8
∠7 = ∠6
∠7 = ∠3
Let me know if I missed out on anymore! It was long that's why.
Hope this kind of explained it :)
Need help answering pls
Answers
Hope this helps :D
Answer:
Step-by-step explanation:
angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p= -0.5x2 + 36x - 231 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $363?
Answers
Answer:
The least amount is $75.50
Step-by-step explanation:
Given
[tex]p \to profit[/tex]
[tex]x \to amount[/tex]
[tex]p = -0.5x^2 + 36x - 231[/tex]
Required
The smallest amount to make at least 363
We have:
[tex]p = -0.5x^2 + 36x - 231[/tex]
Rewrite as:
[tex]-0.5x^2 + 36x - 231=p[/tex]
Substitute 363 for p
[tex]-0.5x^2 + 36x - 231 = 363[/tex]
Collect like terms
[tex]-0.5x^2 + 36x - 231 + 363 = 0[/tex]
[tex]-0.5x^2 + 36x + 132 = 0[/tex]
Using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = -0.5; b= 36; c = 132[/tex]
So, we have:
[tex]x = \frac{-36 \± \sqrt{36^2 - 4*-0.5*132}}{2*-0.5}[/tex]
[tex]x = \frac{-36 \± \sqrt{1560}}{-1}[/tex]
[tex]x = \frac{-36 \± 39.50}{-1}[/tex]
Split
[tex]x = \frac{-36 + 39.50}{-1}; x = \frac{-36 - 39.50}{-1}[/tex]
[tex]x = \frac{3.50}{-1}; x = \frac{-75.50}{-1}[/tex]
[tex]x = 75.50[/tex] and [tex]x = -3.50[/tex]
The amount can't be negative.
So:
[tex]x = 75.50[/tex]
Hence, the least amount is $75.50
Anyone know this answer
Answers
Answer:
Step-by-step explanation:
1 is 60 2 i 60 and 3 is 61 ;)
Given the set of data find the Mean. 4, 5, 6, 12, 12, 12, 14, 16, 22, 23, 28, 28 (round to one decimal place
Answers
Answer:
15.2
Step-by-step explanation:
mean=average
to find the mean, add up all of the numbers and divide by the # of numbers that there are
4+5+6+12+12+12+14+16+22+23+28+28=182
182/12=15.2
Answer:
11.3 to 1DP.
Step-by-step explanation:
The mean = sum of the numbers / 12.
= 136/12
= 11.333
For an angle to be in standard position, its vertex is at the origin and the initial side lies on the
A) positive y-axis. B) positive x-axis. C) negative x-axis. D) negative x-axis.
Answers
Answer:
B) positive x-axis.
Step-by-step explanation:
angle to be in standard position, its vertex is at the origin and the initial side lies along the positive x axis
Answer:
Positive x axis
Step-by-step explanation:
The angle lies in standard position means it begins from Q1
The first side must be x axis
Then in Q1 x>0 so it's positive x axis
Doug invests in his company's retirement system by depositing $2400 into an account that pays 8% interest compounded quarterly. Approximately how long will Doug need to leave his money in the account for it to have a balance of $25,000? A) 30 years B) 29.6 years C) 29.3 years D) 0.5 year
Answers
Simplify (4a to the fifth power b to the sixth power) to the fourth power
Answers
Answer:
(4a^5b^6)^4 = 256a^20b^24
Step-by-step explanation:
You fllp a fair coln 7 times in a row. Let X be the number of heads that come up. Which of the following cannot be a
possible value of X?
2
0
7
16
Answers
Answer:
16
Step-by-step explanation:
Given
A coin
[tex]n = 7[/tex] --- Number of flips
[tex]x \to heads[/tex]
Required
Which can't be the value of x
From the question, we understand that the coin was flipped 7 times.
This means that, the highest occurrence of head is:
[tex]x = 7[/tex]
And the list is:
[tex]x = 0[/tex]
So, the range of x is:
[tex]x = \{0,1,2,....,7\}[/tex]
In the above range, only (16) is out of range.
Hence:
[tex]x \ne 16[/tex] --- Number of heads can't be 16
How do i solve this please help
Answers
Answer:
48
Step-by-step explanation:
138-90(right angled triangle)=48
Suppose a fair six sided die has been relabeled so that the 6 is replaced with another 5,i.e., the sides read 1,2,3,4,5,5. If the die is rolled five times, what is the probability that we roll five distinct values
Answers
Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
what is the area of
Answers
Answer:
7 * 9 = 63
63 for when both of the triangles are combined, 31.5 for one triangle.
Rectangle = 18 * 22 = 396
396 + 63
459 cm^2
This is a 4th grade level
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).
Answers
Answer:
126
Step-by-step explanation:
1200 x .021=25.20 interest per year
25.20x5=126
assumes no compounding
Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Answers
7+2x/3=5
what is x ?
Answers
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )
21 + 2x = 15
2x = 15 - 21
2x = -6
x = -6/2
x = -3
Answer:
X=4
Step-by-step explanation:
Times both side by 3
then you get 7+2x=15
then minus 7 from both sides
2x=8
divide by 2
x=4
Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe
Answers
9514 1404 393
Answer:
time 33
Step-by-step explanation:
The first customer arrives at time 3, and is finished being served at time 3+7 = 10.
The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.
The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.
The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.
The fourth customer leaves at time 33.
The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept
Answers
Answer:
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
Step-by-step explanation:
Given
[tex]x + zy = 2[/tex]
Required
Rewrite to show y-intercept
We have: [tex]x + zy = 2[/tex]
Subtract x from both sides
[tex]zy = 2-x[/tex]
Divide both sides by z
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
The y intercet is: [tex]\frac{2}{z}[/tex]
Twice a number is 14. What is the number
Answers
Answer:
7
Step-by-step explanation:
Divide 14 by 2
solve the equation
f(x)=13⋅6x for x = 2
Answers
A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.
Answers
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
What type of shape is pentagon
Answers
Answer:Polygon
Step-by-step explanation:
solve for k. 6 = -3(k - 10)
Answers
Answer: k = 8
Step-by-step explanation:
-3k + 30 = 6
-3k = -24
k = 8
Answer:
k = 8
Step-by-step explanation:
6 = -3(k - 10)
Divide each side by -3
6/-3 = -3/-3 *(k - 10)
-2 = k-10
Add 10 to each side
-2+10 = k-10+10
8 = k