Determine the equation of the circle graphed below.
10
8
10
-10
-8
-6
2
-2
-4
-6
-8
-10
Answers
Answer:
Equation = (x - 6 )² + ( y + 3 )² = 9
Step-by-step explanation:
The circle passes through ( 6, 0) and ( 6 , -6)
They are the coordinates of the diameter.
Using this we can find the centre of the circle.
Find the centre of the circle.
Centre of the circle is the mid- point of (6, 0) and ( 6, -6)
[tex]Centre = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})[/tex]
[tex]=(\frac{6 + 6}{2}, \frac{0 + (-6)}{2})\\\\=(6, -3)[/tex]
Find the radius of the circle.
[tex]Radius = \frac{Diameter }{2}[/tex]
Diameter is the distance between the points (6 , 0) and ( 6, - 6)
[tex]Diameter = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2\\}[/tex]
[tex]=\sqrt{(6-6)^2 + (-6 -0)^2}\\\\=\sqrt{0 + 36} \\\\= 6[/tex]
Therefore,
[tex]Radius ,r = \frac{6}{2} = 3[/tex]
Standard equation of a circle:
[tex](x - a)^2 + (y - b)^2 = r^2 \ where \ (a , b) \ is \ the\ centre \ coordinates.[/tex]
Therefore , equation of the circle ;
[tex](x - 6)^2 + (y + 3)^2 = 3^2\\\\(x -6)^2 + (y + 3)^2 = 9[/tex]
Related Questions
Debra bought 16 pounds of sugar for $7.
How many dollars did she pay per pound of sugar
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Help! 3-4 quick please!!
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4: dependent
What is the volume in cubic centimeters of the figure below?
Answers
Answer:
so that you will multiply 15 * 4.
Step-by-step explanation:
15*4 = 60 now you divide 60 by 4 and the answer will be 15.
Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?
Answers
Answer:
21 bows
Step-by-step explanation:
Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.
Which function is continuous across its domain?
Answers
Answer:
B.
Step-by-step explanation:
a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).
"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".
specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.
all defined segments are continuous functions.
so, let's look at
A. the first connection point is x=-2.
-2 + 6 = 0.5×(-2)²
4 = 0.5×4 = 2
4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.
B. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous at this point.
second connection point x=4
0.5×4² = 20 - 3×4
0.5×16 = 20 - 12
8 = 8 is correct. continuous at this point
C. x=-2
-2 - 2 = 0.5×(-2)²
-4 = 2 is wrong. not continuous
D. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous here.
now for x=4
4 + 4 = 25 - 3×4
8 = 25 - 12 = 13
8 = 13 is wrong. not continuous.
Do you have any practice questions for grade 1 and 8 of math
Answers
Answer:
dear please focus on other subjects not only on math
What is the equation of the line? Plsss helppp
Answers
Answer:
y = -7
Step-by-step explanation:
Slope: 0
y-intercept: (0,−7)
Since the line doesn't change up, down, right, or left, and it stays on the y-axis, that's how u get y = . The straight line runs along -7 . That's how u get -7 . so when u put it all together u get: y = -7 .
Hope that helps. Tried to explain the best I could :)
find the GCF of 36 and 54
Answers
Answer:
Step-by-step explanation:
The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.
At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday
Answers
Answer:
16%
Step-by-step explanation:
To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333 converted into a percentage is approximately 16%.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")
30 points ~ Thirty-eight kids are riding the bus. Half of the kids are girls. How many boys are on the bus?
Answers
Answer:
19 boys
Step-by-step explanation:
38 kids on the bus
1/2 are girls, that means 1/2 are boys
1/2 * 38 = 19
There are 19 girls and 19 boys
need answer with step by step
Answers
Answer:
y = 6/5x -7
Step-by-step explanation:
You are having a get-together and are expecting 30 guests. You plan on serving Chocolate Chip Cookies. Use your knowledge of fractions to re-write the recipe for Chocolate Chip Cookies. The recipe card states that it makes 60 cookies. What will need to be done in order to make 30 cookies?
Show your work neatly. List all steps taken as you recalculate each ingredient and then re-write the recipe card.
Discuss what you learned about fractions from this activity.
Did you find some measurements easier to convert than others? Why do you think this is so?
Answers
Answer:
Chocolate Chip Cookies:
2
1
/
2
cups flour
3
/
4
cup sugar
1
tsp. baking soda
1
tsp. vanilla
3
/
4
teaspoon salt
2
eggs
1
cup butter
3
/
4
pound Chocolate Chips
Fractions:
A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.
A fraction that is less than 1 is called a Proper Fraction.
Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.
Example- A whole number and a fraction combined into one is called a MIxed Fraction.
Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.
Example-
5
3
4
=
(
4
×
5
)
+
3
4
=
23
4
Answer and Explanation:
A biologist is studying the migratory patterns of sandhill cranes. His study focuses only on sandhill cranes that are bred and hatched in Alaska, and eventually migrate south to warmer climates. Each year he randomly tags a sample of 50 cranes with GPS trackers to gather data about their migratory patterns.
In this scenario, the population is
.
In this scenario, the sample is
Answers
Answer:
Population = All Sandhill cranes bred and hatched in Alaska that migrate south
Sample = The 50 crane samples which are tagged yearly.
Step-by-step explanation:
The population refers to all members or subjects which belongs to a defined study. Each and every subject which meets the requirement of a study makes up the population.
The sample however, is a subset of the population, the sample is a smaller group of subject which is selected from the population randomly to for a representative sample of the population. Here, it is the 50 sampled sandhill cranes bed per year.
Answer:
These are the answers
Step-by-step explanation:
What's the surface area of this shape???
Answers
Answer:
197 in^2
Step-by-step explanation:
Add the areas of each face:
2 trapezoid faces:
(5+9) ÷ 2 x 5 = 35
2(35) = 70 in^2
2 squares:
5 x 5 = 25
2(25) = 50 in^2
Rectangular base:
5 x 9 = 45 in^2
Area of slanted rectangle:
6.4 x 5 = 32 in^2
Add:
32 + 45 + 50 + 70 = 197
What single transformation maps AABConto AABC?
Answers
Answer:B
Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.
Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)
Answers
The answer is C
Step-by-step explanation:
Not sure I can't really give an explanation but its C
A study attempts to examine whether watching a lot of television or playing a lot of video games will have a detrimental effect on a child's academic success at school and/or their success at sports. he experiment is conducted on the basis that the age of the child will be important in determining this effect but the gender of the child will not. Select all the elements that are FACTORS of this experiment:
a. age of the child
b. gender of the child
c. time spend reading books over a year
d. time spent playing video games over a year
e. success at sports
f. academic success at school
g. time spent watching television over a year
Answers
Answer : A,D,G
Step-by-step explanation:
A factor of experiment is the controlled independent variable.
The factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
What is the factor of experiment means?A factor of experiment is the controlled independent variable.
Given information
The experiment is conducted on the basis of age.
The experiment is not conducted on the basis of gender.
In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.
Factors of this experiment-
a) Age of the child- As in the statement it is cleared, that the age of the child is a base of the experiment but the age can not be a controlled independent variable. Thus the age of the child is the not a factor of this experiment.b) Gender of the child-As for the study for the given problem, the gender is not important. Thus the gender of the child in not a factor of this experiment.c) Time spend reading books over a year-The study is to determine the relation between watching TV a lot or playing video game and child's academic success and not about reading books. Thus the time spend reading books over a year is not a factor of this experiment.d) Time spent playing video games over a year- The study is to determine the relation between playing video game and child's academic success or success in sports. Thus, time spent playing video games over a year is a factor of this experiment.e) Success at sports-As the success at the sports is the part of the study. Thus, success at sports is a factor of this experiment.f) Academic success at school- As the academic success at the school is the part of the study. Thus, academic success at school is a factor of this experiment.g)Time spent watching television over a year-The study is to determine the relation between a lot of television watching and child's academic success or success in sports. Thus, time spent watching television over a years a factor of this experiment.Thus the factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
Learn more about the factor of experiments here;
https://brainly.com/question/840290
Is the answer to this question 13.5
Answers
Answer:
i think its 13
Step-by-step explanation:
you are supposed to measure the lowest point of the liquid.
Multiply the following complex numbers (7 + 2i)(2+3i) O A. 20-25i B. 8-25i O C. 8+ 25i O D. 20-25i
Answers
Đáp án là C: 8+25i nhé
8+ 25i
Answer:
C. 8+25i
Just took it, it's correct :)
20. The H.M. between 2 and 8 is
(1 marks )
Answers
Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
=============================================================
Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
-----------
To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
please help meeeeeeeee
pt 3
Answers
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
Consider this as a simultaneous-move (static) game:
Player B
Left Right
Top 2, 2 3, 2
Player A
Bottom 1, 3 1, 4
1a) Write down the Best Response Correspondence for each of the two players.
1b) Does any player have a dominant strategy in this game? Explain.
1c) Find all Nash Equilibria in pure strategies of this game.
1d) Is there any Nash Equilibria in mixed strategies?
Answers
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
For point a:
When Player A selects Top, Player B selects Left or Right.
Player B selects Right when player A selects Bottom
Thus, player B's best statement is correct.
When player B selects the left, then game A selects the top
When player B selects the right, player A selects the top
Hence, Player A's right response is Top.
For point b:
The main strategy inside the game is Player A, which would be Top. Since he won't choose Below except under situations since the payment to Bottom is below his payoff for Top irrespective of player B.
For point c:
Player A will purely pick Top & Player B right and player A also will pick Top and player B is right. Game A will's pattern. In this case, neither player has the motive to move away. There are two Nash balances since player B is paid the same amount, irrespective of what he's playing any strategy, as player A is always at the top.
For point d:
Consider if player B plays left with "q" probability and right with "1-q" probability. We're done
[tex]2q + 2(1-q) = 3q+4(1-q) \\\\2(1-q) - 4(1-q) = 3q - 2q \\\\-2(1 - q) = q \\\\-2 + 2q = q \\\\2q-q= 2 \\\\q= 2\\[/tex]
It is not possible since q is a chance that really can exceed 1. Hence, for this game, there is no mixed strategy nash balancing.
Explain how you can use fraction strips or number lines to show that three fourths and six eighths are equivalent. plsssssss
Answers
Answer :
Refer to the fraction strip to show 3/4 & 6/8 are same.
Also if you reduce 6/8 by dividing 2 to numerator & denominator… it’s 3/4.
The solution is given below.
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
Refer to the fraction strip to show 3/4 & 6/8 are same.
Also if you reduce 6/8 by dividing 2 to numerator & denominator…
it’s 3/4.
The solution is attached below.
To learn more on number line click:
brainly.com/question/29162579
#SPJ2
What is the difference between 5d and d ⁵ ?
Answers
If you’re asking to subtract then it’d be written as 5d - d^5
Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.
Answers
Answer:
[tex]1.\ Given[/tex]
[tex]2.\ IV \cong VE[/tex]
[tex]3.\ \angle GVI \cong \angle RVE[/tex]
[tex]4.\ ASA\ congruence[/tex]
[tex]5.\ GV \cong VR[/tex]
[tex]6.\ Proved[/tex]
Step-by-step explanation:
Given
See attachment for right question format
Required
Complete the blanks
1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.
So, the reason is Given
2. Midpoint means halfway. So, we can fill the statement column with:
[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE
or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR
3. Vertical angle are congruent. So, the statement is:
[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent
4. We have:
[tex]\triangle GVI \cong \triangle RVE[/tex] because
[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)
[tex]IV \cong VE[/tex] ---- congruent sides (S)
[tex]\angle GIV \cong \angle REV[/tex] --- congruent angles (A)
The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence
5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]
Hence, both sides are congruent ----[tex]GV \cong VR[/tex]
6. The given statement has been prived
which of the following is a geometric sequence?
Answers
Answer:
The right answer is a.
Step-by-step explanation:
PLEASE MARK ME AS A BRAINLIEST
Mrs. Smith bought 6.2 kg of cassava and 1 kg 250 g of bananas. What is the total weight in kg?
Answers
Step-by-step explanation:
my answer is in the image above
The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is
Answers
9514 1404 393
Answer:
13120
Step-by-step explanation:
The sum of terms of a geometric series is ...
Sn = a1·(r^n -1)/(r -1)
You have n=8, a1=4, r=3, so the sum is ...
S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120
Answer:
13 120Step-by-step explanation:
hope it helps u too
2n-3>15, select all values of n would make this inequality true, options are 2, 5, 9, 10, 12
Answers
9514 1404 393
Answer:
{10, 12}
Step-by-step explanation:
The inequality can be simplified to ...
2n -3 > 15 . . . . given
2n > 18 . . . . . . add 3
n > 9 . . . . . . . . divide by 2
Only two listed numbers are greater than 9:
10, 12
Kelly used the vertical line test to determine whether or not the curve that she had been given is a function. After conducting the vertical line test, Kelly determined that the curve is a function. Which of the following choices represents the result of Kelly’s vertical line test?
Answers
Answer:
0 or 1
Step-by-step explanation:
Given that Kelley is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function
Answer is 0 or 1 point
