Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10
Answers
Answer:
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
Step-by-step explanation:
Circle is touching y-axis at point (0, 3) and is centered at (2, 3)
-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 =r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-2)^2 +(y-3)^2 =2^2[/tex]
[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
This is the required equation of the circle.
Related Questions
picture explains
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Answers
Answer:
Yes, AB is tangentStep-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
20² = 16² + 12²400 = 256 + 144400 = 400Confirmed
Answer:
AB is tangent to the circle
Step-by-step explanation:
The tangent of a circle is always perpendicular (at a right angle) to the radius. Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven:
a = 12b = 16c = 20Substitute the given values into the formula:
[tex]\implies 12^2+16^2=20^2[/tex]
[tex]\implies 144+256=400[/tex]
[tex]\implies 400=400[/tex]
Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.
VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.
Answers
The mean of the data set can be used because it is not easily affected by extreme values.
What is a measure of central tendency?A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.
Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.
Learn more about mean: https://brainly.com/question/14882017
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
1.Isolate one variable in the system of equations, if needed.
y = x2 – 3x + 12
y = –2x + 14
2.Use substitution to create a one-variable equation.
–2x + 14 = x2 – 3x + 12
3.Solve to determine the unknown variable in the equation.
What are the values of x?
{–2, 1}
{–2, 4}
{–1, 2}
{–1, 4}
Answers
Answer:
C. { - 1, 2}Step-by-step explanation:
The first two steps solved and the last step to be performed
Solve the quadratic equation
x² - 3x + 12 = - 2x + 14x² - 3x + 2x + 12 - 14 = 0x² - x - 2 = 0x² - 2x + x - 2 = 0x(x - 2) + (x - 2) = 0(x - 2)(x + 1) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = - 1The solution is:
{ - 1, 2}Correct choice is C
Solving from step 3
-2x+14=x²-3x+12x²-3x+2x-2=0x²-x-2=0(x-2)(x+1)=0x=2 or -1Option C
Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit
Answers
Answer:
18 cups of lemonade
Step-by-step explanation:
so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups
I am 1,000 times as big as a gram what am i
Answers
Answer:
One Kilogram
Step-by-step explanation:
1kg = 1000g
Answer:
Kilogram
Step-by-step explanation:
Which term describes an idea or a feeling suggested by a word?
Answers
Answer: connotation
Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.
Can you guys tell me what 6!/3!
Answers
[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]
Answer:
[tex]\boxed{\sf{120}}[/tex]Step-by-step explanation:
Use the factorials formula.
Factorials formula:
[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
a certain number is added to 6 and then divided by 10. The result is 3. Find the number
Answers
Answer:
let the number be x.
(x+6)/10 = 3
x+6 = 30
x =24
Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football
Answers
I believe the answer is football.
The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?
Answers
Answer: 4 committees
Hope this helps! :)
I need brainliest please.
Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answers
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
Please help ASAP! 20 points!!
Answers
Answer:
They are increasing at the same rate.
NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE
1. A rectangular prism has a length of 20 in, a width, of 2 in, and a height of 3 ¼ in. What is the volume of the prism? Question 1 options:
V = 25 ¼ in³
V = 130 ¼ in³
V = 120 ¼ in³
V = 130 in³
2. What is the volume of a box that measures 4 ft. long, 2 ½ ft. wide, and 2 ft. tall?
Question 2 options:
V = 16 ½ ft. ³
V = 20 ft. ³
V = 40 ft. ³
V = 8 ½ ft. ³
3. Find the volume of a right rectangular prism with the measurements: length is 5/4 in, width is 2 in, and height is 4 in.
Question 4 options:
V = 40 in³
V = 2 3/4 in³
V = 11/4 in³
V = 10 in³
Answers
Answer:
1. V = 130 in³
Step-by-step explanation:
1. You can find the volume of a rectangular prism with this formula:
( l • w )h
(20 • 2)3 1/4
=
130
And then add the label in³
Answer:2. V = 20 ft³
Step-by-step explanation:2. A box is the same as a rectangular prism.
Use the same formula to find the answer.
(4•2 1/2)2
=
20
And then add the label ft³
Answer:3. V = 10 in³
Step-by-step explanation:3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.
5/4 = 1 1/4 or 1.25
(1.25 • 2)2
=
10
And then add the label in³
PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(1/2x+6)−(x−3)=−1/2x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work
Answers
Answer:
Leanne is correct. It is important that g(x) is subtracted from f(x).
Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.
*Just took the test, got the answer correct!! Hope this helps!
The number 3 represents of the class.
Answers
Answer:
WE CANT ANSWER WITH THAT LITTLE OF INFORMATION
Rosa has a garden in the shape of a parallelogram she says she can find the perimeter of her garden by adding the two sides and doubling the sum is rosa correct
Answers
Rosa is correct. The perimeter of a parallelogram can be determined by adding the two sides and doubling the sum.
What is a paralleogram?A parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .
The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.
To learn more about the perimeter, please check: https://brainly.com/question/3205029
A website charges the same shipping fee on every order. The table shows the relationship between the cost of the items on the website, a, and the total cost including shipping, y. Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x +
Answers
Answer:
Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
Answers
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
To learn more about future value, please check: https://brainly.com/question/18760477
The volume of this right trapezoidal prism is 341.25 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
Answers
Answer:10.5
Step-by-step explanation: I hope this helps
The height, x, of the right trapezoidal prism is 10.5 ft.
Given that, the volume of this right trapezoidal prism is 341.25 ft³.
We need to find the height x, of the prism.
What is the formula to find the volume of this right trapezoidal prism?The formula to find the volume of this right trapezoidal prism is Volume=BH.
Where B=Area of the Base and H=Height.
Area of the Base(Trapezium)=1/2(a+b)×h
Where a and b are parallel sides of the trapezium and h= height of the trapezium.
Now, the area of the Base=1/2(8+5)×5=32.5 ft²
The volume of the right trapezoidal prism=32.5×x
⇒341.25=32.5×H
⇒x=10.5 ft
Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.
To learn more about the volume of the right trapezoidal prism visit:
https://brainly.com/question/27206909.
#SPJ2
fing the midpoint of A(1-4) and B(-2;-7)
Answers
If a=9 and b=4, what is the value of 2a−b ?
Answers
Replace a and b with their values:
2(9) -4 = 18-4 = 14
answer: 14
Answer:
14
Step-by-step explanation:
2a - b
substitute the variables
2 × 9 - 4
18 - 4
14
are these answer correct?
Answers
Answer:
yessir
Step-by-step explanation:
I only need help on this one Geometry question! Please help! I will give 30 points.
Do not round, enter full answer. No units of measure just the number. A cone shaped funnel has a diameter of 4.8 inches and a height of 4 inches. What is the volume of the funnel? Use 3.14 for pi. Enter your answer as a decimal, in the box.
Answers
1/3 * 4 * 3.14 * 2.4^2 = 24.1152
here are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
unna, Ravi and Sam cach take at random one sweet from the bowl.
Jork out the probability that the 5 lemon sweets are still in the bowl.
Answers
Answer:
61/112.
Step-by-step explanation:
For 5 lemon sweets to be in the bowl the 3 taken must be from the 4 blackcurrent and/or 7 orange sweets.
First work out the probability of having a lemon in one of the 3 picks:
Prob (Taking 3 lemons) = 5/16 * 4/15* 3/14 = 60/3360 = 1/56.
Prob (Taking 2 lemons and 1 blackcurrent) = 5/16*4/15*4/14 = 1/42
There are 3 ways of doing this so Probab) = 3/42 = 1/14.
Prob (Taking 1 lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.
There are 3 ways of doing this so Prob = 3/56.
Prob (Taking 2 lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.
There are 3 ways of doing this so Prob) = 3/24 = 1/8.
Prob (Taking 1 lemon and 2 orange) = 5/16*7/15*6/14 = 1/16
There are 3 ways of doing this so Prob = 3/16.
Therefore the probability of have 1 or more lemons in one of the 3 picks
= 1/56 + 1/14 + 3/56 + 1/8 + 3/16
= 51/112
and the probability of NOT having a lemon in one of the 3 picks
= 1 - 51/112
= 61/112.
Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?
Answers
Answer:
12 days
Step-by-step explanation:
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answers
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)
Answers
Answer:
A(0,1) B(0,4) C(1,2) D(3,2)
Step-by-step explanation:
Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!
Answers
Check the picture below.
What is the missing number in 73, 67, 61,____, 49, _____, 37 A.55,42 b.55,43 c. 55, 32 D. 55, 34
Answers
Answer:
b) 55 and 43
Step-by-step explanation:
I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.
remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.
Answers
Therefore :
7(3x^5+2x^3-5) is the correct answer
We can’t factor x because 35 does not have any x
Most common is 7
So
7(3x⁵+2x³-5)Use distributive law to verify
21x⁵+14x³-35Verified
GCF is 7
