Find thecenter andRadius (1,2) (1,0) write the standard form of the equation
Answers
Find the
center and
Radius (1,2) (1,0) write the standard form of the equation
Step 1
by the graph, let's assume the coordinates are of the center and an external point of the circle.
find the radius, use the distance between two points formula
remember
\(\begin{gathered} \text{let} \\ P1(x_1,y_1)andP2(x_2,y_2) \end{gathered}\)the distance between P1 and P2 is given by:
\(d=\sqrt{(y_2-y_1_{})^2+(x_2-x_1_{}_{})^2}\)replace the values
let P1(1,2) and P2(1,0)
\(\begin{gathered} d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ d=\sqrt{(0-2)^2+(1-1)^2} \\ d=\sqrt{4} \\ d=2 \end{gathered}\)therefore, the radius is 2
Step 2
the standard form of the equation of a circle is
\(\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where (h,k) is the center of the circle and r is the radius} \end{gathered}\)by the graph, the center is (1,2), so replace
\(\begin{gathered} (x-1)^2+(y-2)^2=2^2 \\ (x-1)^2+(y-2)^2=4 \end{gathered}\)and that's all, it would be your answer. I hope it helps you
Related Questions
Chad baked 12 cookies with 2 scoops of flour. How many scoops of flour does
Chad need in order to bake 42 cookies? Solve using unit rates.
Answers
Answer:
7
Step-by-step explanation:
Set up a proportion
12 cookies / 2 cups = 42 cookies / x Notice that cookies are on the top and cups are on the bottom of each proportion.
12/2 = 42/x Cross multiply
12x = 84 Divide by 12
x = 84/12
x = 7
He will need 7 cups to make 42 cookies.
Students sold 342 tickets to the school carnival at $11.75 each. Nine tickets were refunded. Estimate the amount of money that the school took in. Is your estimate and over estimate or underestimate?
Answers
Let:
x = Number of tickets
a = Price of each ticket
T = Total amount of money
so:
\(\begin{gathered} T=ax \\ \end{gathered}\)Since nine tickets were refunded,
let:
y = Number of tickets refunded.
\(\begin{gathered} T=ax-ay \\ where\colon \\ a=11.75 \\ x=342 \\ y=9 \\ so\colon \\ T=11.75(342)-11.75(9) \\ T=4018.5-105.75 \\ T=3912.75 \end{gathered}\)Answer:
$3912.75
Which number is less than 22,874?
A. 2.18 x 10^4
B. 2.55 X 10^4
C.2.43 x 10^5
D. 1.78 x 10^6
Answers
Answer:
A. 2.18 × 10^4
Step-by-step explanation:
2.18 × 10^4
10^4 = 10000
2.18 × 10000 = 21800 which is less than 22874
ession 2 FSA Mathematics Practice Test Questions The location of point Mon the coordinate plane is (2, 7). Select numbers to describe point M on the coordinate plane. For each box, fill in the bubble before the number that is correct. oint Mis 2 5 D 7 9 units away from the origin in the direction of the x-axis. (Α) Ο int Mis B 2 05 0 7 units away from the origin in the direction of the
Answers
Point M = (2 , 7 )
Point M is 2 units away from the origin in the direction of the x-axis.
Point M is 7 units away from the origin in the direction of the y-axis.
Need help on this math problem
Answers
Answer:
the answer is 7 .......
ie .4^7
Answer:
4^7 is the answers for the question
Step-by-step explanation:
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Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
Answers
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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Students are arranging square tables to make one larger, rectangle table. The students want to have several ways to arrange the tables. Should they use 12 or 13 tables?
Answers
Answer:
12
Step-by-step explanation:
they should use 12 tables to make a rectangle
12 has more factors than 13 which only has 2
12 has 1 2 3 4 6 & 12
13 only has 1 & 13
when using 12 desks you would have 6 ways of rearranging the table
1x12; 2x6; 3x4; 4x3; 6x2; 12x1
this has the most amount of ways while with 13 you only have 2 ways
1x13 and 13x1
Solve the triangle. Round to the nearest tenth.
Find c aswell
Answers
Answer:
Set your calculator to Degree mode.
a² = 17² + 20² - 2(20)(17)cos(89°)
a² = 677.13236
a = 26.0 in.
sin(89°)/26.02177 = (sin B)/17
sin B = 17sin(89°)/26.02177
B = 40.8°
C = 50.2°
Can anyone help with this problem
Answers
Answer:
They are both 60 thats all I know im sorry.
Step-by-step explanation:
The answer is Option C - They both use same amount of paper!
The net of a solid figure is shown below:
(Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 4 inches)
Which calculation will give the total surface area of the solid figure?
(Yk what, nevermind, I really don't care abt my grade anymore, lmbo)
Answers
The area of the net of the solid figure is 96 square inches
How to determine the area?The image that completes the question is added as an attachment
From the image, we have:
Squares = 6
Length = 4
The area of the net is then calculated as:
Area = Squares * Length^2
This gives
Area = 6 * 4^2
Evaluate
Area = 96
Hence, the area of the net of the solid figure is 96 square inches
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Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. Can you work out Josie's height? 150cm, 170cm, 140cm, 155cm
Answers
Answer:
135 cm
Step-by-step explanation:
Let Jose's height = x
The mean of their heights = 150
Given the Heights:
150cm, 170cm, 140cm, 155cm
The mean is the sum if the heights divided by the number of people
Here :
(150 + 170 + 140 + 155 + x) / 5 = 150
(615 + x) / 5 = 150
615 + x = 750
x = 750 - 615
x = 135 cm
Ms. Williams counted students by eye color. The table shows how many students had each eye color.
Brown 21
Blue 6
Green 3
Write a ratio to compare blue eyes to green eyes.
Answers
The simplest ratio of blue eyes to green eyes expresses as 2:1.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The table shows how many students had each eye color.
Brown: 21
Blue: 6
Green: 3
In order to calculate the ratio of two quantities, we can use the following steps
First, we have to find the quantities of both scenarios for which we are determining the ratio. In this case, it is 6 blue eyes and 3 green eyes.
Write it in the fraction form a/b. So, we write it as 6/3.
Simplify the fraction further, if possible. The simplified fraction will give the final ratio.
Here, 6/3 can be simplified to 2/1.
Therefore, the simplest ratio of blue eyes to green eyes expresses as 2:1.
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Dan scored 5 times as many points as Joe in a basketball game. Mike scored an amount equal to the 6th multiple of 9. If the 3 boys scored a total of 126 points, how many points did Dan score? *
Answers
Answer:
60
Step-by-step explanation:
Let the points scored by Dan, Joe and Mike be D, J and M respectively.
Given that Mike scored an amount equal to the 6th multiple of 9.
Therefore, it can be expressed as,
M = 6 x 9 = 54 ---------- (i)
It is also given that, Dan scored 5 times as many points as Joe in a basketball game.
Therefore, it can be expressed as,
D = 5J ---------- (ii)
Finally, it is given that, the 3 boys scored a total of 126 points.
Therefore, it can be expressed as,
D + J + M = 126
From equations (i) and (ii), we get,
5J + J + 54 = 126
6J + 54 = 126
6J = 126 - 54
6J = 72
Therefore, J = 72/6 = 12
From equation (ii),
D = 5J
Therefore, D = 5 x 12 = 60
Therefore, Dan scored 60 points.PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!!!!!!
Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Answers
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
Answers
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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determine the surface area and volume
Answers
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Answers
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
Max has a rectangular plot that is 60 square meters in area. He keeps his five goats,
his twelve chickens and his brown and white horse in the plot which is enclosed
on all four sides by a white picket fence. The length of the plot is 10 meters.
So the total length of the white picket fence is what in
meters?
Answers
Step-by-step explanation:
you know the area of a rectangle is length × width.
we know length = 10 m.
and we know the area = 60 m².
60 = 10×width
width = 60/10 = 6 m.
the fence is the perimeter, which is for a rectangle
2×length + 2×width
which is logical, as when you fully go around a rectangle, you have to pass the length 2 times and the width 2 times, right ?
length of fence = 2×10 + 2×6 = 20 + 12 = 32 m.
Answer:
32 meters
Step-by-step explanation:
If the plot is 60 square meters in area and 10 meters long then we can divide the area (60 square meters )by the length (10 meters) to get the missing side of 6 meters. Since the plot is rectangular there are 2 sides that are 10 meters and 2 sides that are 6 meters. Add up all the sides 2(10+6) [or just 10+10+6+6] to get a final length of 6 meters of white picket fence.
dog is congruent to GED?
Answers
Answer:
Yes
Step-by-step explanation:
The Angles are the exact same.
Hope I helped! Please leave a review or rating!
Jordan has 3 blue marbles and 8 red marbles. What is the ratio of blue marbles to red marbles?
Answers
Answer:
The ratio of blue to red marbles is 3 to 8.
Hope this helps :) have a good day!
Evaluate the following when n = 7: 5(n - 5)
Answers
Hey! there
Answer:
10 is the answerStep-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
\( \quad \longmapsto \qquad \: 5(n - 5)\)
We are substituting value of n as 7 :
\( \quad \longmapsto \qquad \:5( \bold{7} - 5) \)
Solving parenthesis that is subtracting 5 from 7 :
\( \quad \longmapsto \qquad \:5(2)\)
Now we are multiplying 5 with 2 and We get :
\( \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar\)
Henceforth , value of expression when n is equal to 7 is ❝ 10 ❞#Keep LearningStep-by-step explanation:
Answer:
10 is the answer
Step-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
\( \quad \longmapsto \qquad \: 5(n - 5)\)
We are substituting value of n as 7 :
\( \quad \longmapsto \qquad \:5( \bold{7} - 5) \)
Solving parenthesis that is subtracting 5 from 7 :
\( \quad \longmapsto \qquad \:5(2)\)
Now we are multiplying 5 with 2 and We get :
\( \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar\)
Henceforth , value of expression when n is equal to 7 is 10
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A right rectangular prism is packed with cubes of side length fraction 1 over 4 inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
fraction 2 and 3 over 4 cubic inches
fraction 3 and 3 over 4 cubic inches
fraction 7 and 1 over 4 cubic inches
fraction 7 and 1 over 2 cubic inches
Answers
Answer:
7 and 1 over 2 cubic inches ( 7 1/2 in³
Step-by-step explanation:
The height = 1/4 * 5 = 1 1/4 = 1.25
The width = 1/4 * 8 = 2
The length = 1/4 * 12 = 3
Volume = 1.25 * 2 * 3 = 2.5 * 3 = 7.5
0.5 is represented as 1/2
So answer : fraction 7 and 1 over 2 cubic inches or 7 1/2 in³
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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
Answers
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Joe made 24 quarts of orange juice. How many liters of orange juice did Joe make?
1 gallon =
Answers
How many is a gallon? Step-by-step explanation:
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Which has the greatest effect on the amount of salt in a salt marsh?
A) the number of animals living in the marsh
B) the closeness of the marsh to the ocean
C) the depth of the water in the marsh
D) the temperature of the water in the marsh
Answers
Answer:
the answer is B because ocean water has salt in itHelp 20 points (show your work)
Answers
The measure of angle ADC in the geometric system is equal to 55°.
How to determine the value of an angle related to a geometric system
In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:
m ∠ CDE + m ∠ EDF = 180°
(2 · x + 1) + (x - 7) = 180°
3 · x - 6 = 180°
3 · x = 186°
x = 62
m ∠ CDE = 2 · x + 1
m ∠ CDE = 2 · 62 + 1
m ∠ CDE = 125°
m ∠ ADC = 180° - 125°
m ∠ ADC = 55°
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Which is a counterexample of the following conditional?
"If a number is divisible by seven, then it is odd."
28
21
7
1
Answers
A counterexample of the conditional "If a number is divisible by seven, then it is odd" is given as follows:
28.
How to obtain the counterexample?The conditional for this problem is defined as follows:
"If a number is divisible by seven, then it is odd."
Then a counterexample is given by a number that is divisible by 7, but is even.
Hence the counterexample is the number 28, as it is divisible by 7, as 28/7 = 4, and is even, as it finishes with 8.
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Answer: 28
Step-by-step explanation: 28/7
1) You are attending the first Lil Baby concert after quarantine. There are two levels, one level
that is standing room only. The dimensions of the room are 62 feet by 31 feet. 15 people fit in a 3
feet by 6 feet space. Upstairs there can be 80 people. How many people can attend? (Note: It
helps if you make a sketch of the problem).
Answers
Answer:
Total number of people in the concert
= 186
Step-by-step explanation:
There are 80 people in level 2
Then in level one
The dimensions of the room are 62 feet by 31 feet.
15 people fit in a 3 feet by 6 feet space.
Area of the room= 62*31= 1922 feet²
area of 15 people space= 3*6= 18 feet²
To know how many 15 people we get in the 2nd level
=Area of room/area of 15 people space
= 1922/18
= 106.77
= 106 (we round down because this is human being.)
Total number of people in the concert
= 106+80
= 186
Coefficient of the variable 9x-36
Answers
Answer:
165
Step-by-step explanation:
g/-4+14=13
PLEASE GIVE ME THE RIGHT ANSWER AND PLEASE EXPLAIN IT TO ME.
NO SILLY ANSWERS OR I WILL REPORT!!
Answers
Answer:
\( \frac{g }{ - 4} + 14 = 13 \\ \frac{g}{ - 4} = 13 - 14 \\ \frac{g}{ - 4} = 1 \\ g = 1 \times - 4 \\ g = - 4\)
Step-by-step explanation:
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