Answers
Standard Equation of a Circle
Given a circle of radius r and centered at (h,k), the standard equation of the circle is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]We are given the graph of a circle and from the data, we can get there we will find the center and the radius.
The center is clearly visible at (2,6)
The radius is half the length of the diameter. It can be clearly visualized from point (2,3) to the point (2,9).
The diameter is d = 9-3 = 6, thus the radius is r = 6/2 = 3
Now we plug all the numbers into the formula:
[tex](x-2)^2+(y-6)^2=3^2[/tex]Operating:
[tex](x-2)^2+(y-6)^2=9[/tex]This is the required equation of the circle
Related Questions
Choose "function" or "not a function" for the problem. - 5.5 -0.5 5.5 5 Y 600 300 100 20 O not a function O function O cannot tell from the given representation
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1)Let's draw a diagram to solve this
As for each element of X, there is a corresponding element of Y, we can state that this is a function
Solve for P: 4 < 5P Your answer may be exact or rounded to the nearest tenth.
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The question requires you o find the value of P in ;
4 < 5P
divide both sides by 5 to get P as ;
4/5 < 5P/5
0.8 < P ----------to the nearest whole number
0.8 < P --------- to the nearest tenth
1 < P
Answer : 1 < P
3(2x - 5) = 16 what is the value of x
Answers
Let's solve the value for x
[tex]3(2x-5)=16[/tex][tex]6x-15=16[/tex][tex]6x=16+15[/tex][tex]6x=31[/tex][tex]x=\frac{31}{6}[/tex]The value for x is 31/6
Answer:
x = 9
Step-by-step explanation:
we need to separate x, so
3 (2x - 5) = 16
-3 -3
subtract 3 from both sides
then you are left with 2x - 5 = 13
+5 +5
then add 5 on both sides
then you are left with 2x = 18
/2 /2
divide 2 from both sides,
and you get x= 9
Question 4: Identify the directrix. A. x = -6B. x = -3C. y = -3D. y = 0
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Answer:
D. y = 0
Explanation:
If a parabola has the following form:
[tex](x-h)^2=4p(y-k)[/tex]The directrix of the parabola will be the line with an equation:
y = k - p
In this case, we have:
[tex](x+2)^2=4(y-1)[/tex]So, comparing the equations, we can say that:
4p = 4
k = 1
It means that the value of p can be calculated as:
4p = 4
4p/4 = 4/4
p = 1
Therefore, the equation of the directrix is:
y = k - p
y = 1 - 1
y = 0
So, the answer is D. y = 0
The administration in a large city wanted to know the distribution of vechicles owned by house-holds in the city. A sample of 40 randomly selected households from this city produced the following data on the number of vechicles owned
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STEP - BY - STEP EXPLANATION
What is the total area of the figure?A. 47 feet squaredB. 52 feet squared C. 168 feet squaredD. 402 feet squared
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we need to find two areas and sum to find the total area
the first area is the stairs
we must find the area of the trapezoid by the formula
[tex]A=\frac{B+b}{2}\times h[/tex]where B is the long side, b the short side and h the height
[tex]\begin{gathered} A=\frac{6+4}{2}\times2 \\ \\ A=10 \end{gathered}[/tex]so, the area of the stairs is 10 feet squared
The second area is the pool
the area of the rectangle is
[tex]A=b\times h[/tex]replacing
[tex]\begin{gathered} A=14\times28 \\ A=392 \end{gathered}[/tex]the area of the pool is 392 feet squared
Then, the toal area is the sum,so
[tex]\begin{gathered} A_T=10+392 \\ A_T=402 \end{gathered}[/tex]the total Area is 402 feet squared, so the rigth option is D
6) Find the lateral surface area. Round to the nearest tenth."10 points8 in.8 in.11 in.6.9 in.8 in.264274ОООО284204
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264 in²
1) The lateral surface area excludes the bases
2) Since it is a triangular prism, let's calculate the area of those rectangles:
[tex]\begin{gathered} S=3(w\cdot l) \\ S=3(8\times11) \\ S=3(88) \\ S\text{ =}264 \end{gathered}[/tex]3) So the lateral surface area is 264 in²
Divide and simplify 2/7 ÷ [ -13/2] =
Answers
the given expression is,
[tex]=\frac{\frac{2}{7}}{-\frac{13}{2}}[/tex][tex]=\frac{2\times2}{7\times-13}[/tex][tex]=-\frac{4}{91}[/tex]thus, the answer is -4/91
Question 7 of 10If a sample of 99 bowlers is taken from a population of 466 bowlers, thesample mean, x, is the mean of how many bowlers' scores?A. Neither 99 nor 466B. 466C. 99D. Both 99 and 466SUBMIT
Answers
ANSWER
C. 99
EXPLANATION
The sample mean, x bar, as its name states, is the mean of the sample. If a sample of 99 bowlers is taken from a certain population, then x bar is the mean of 99 bowlers' scores.
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Answers
y = x^2 - 4x + 3
This is a quadratic function
Firstly, we need to find the factors of 3,
we have 1 and 3, -1 and -3
When add -1 and -3, we have -4 and when multiply -1 and -3, we have 3
The new equation becomes
y = x^2 - 3x - x + 3
y= x^2 -3x - x + 3
Factorize out x
y = x(x - 3) - 1(x - 3)
y = (x - 1) or (x - 3)
Let y = 0
0 = (x - 1) (x - 3)
(x - 1) = 0 or (x - 3) = 0
x - 1 = 0 0r x - 3 = 0
x = 0 + 1 or x = 0+ 3
x = 1 or x = 3
The minimum value is 1 and the maximum value is 3
You deposit $17,289 into an account that earns 3.14% annual interest compounded continuously. How much money will you have after 42 years?
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For an initial amount P deposited with an annual interest r, after t years, the total amount A is given by:
[tex]A=P\cdot(1+r)^t[/tex]Then, if P = $17,298, r = 3.14% and t = 42 years, we have:
[tex]A=17298\cdot(1+0.0314)^{42}\approx\text{ \$}63377.52[/tex]True or False: The hypotenuse is always the shortest side.
Answers
False, since the hypothenuse is the squared root of the sum of both sides squared. Actually, the hypothenuse is alwas the largest side.
a department store is having a building sale where all buildings is 20% off the original price P if the price for a wedding item during the cell can be represented by the expression 0.75 P which expression also represents the price of the item
Answers
when taking the discount of 25% off, we first write it as a decimal
25% = 0.25
if we want to take 25% off the 100%, we also write 100% as a decimal
100% = 1
now the difference between the will be
[tex]1-0.25[/tex]this has to be multiplied by the original price
[tex]p\cdot(1-0.25)[/tex]distribute the p into the parentheses
[tex]p-0.25p[/tex]expression c can also be used to express the price of the item
15) Marshall has a pair of dice.
What is the probability that he
would roll a five and then roll an
even number?
a
Answers
Given: A fair dice that is rolled
To Determine: The probability of rolling a five and rolling an even number
Solution
The probability of an event A is the ratio of number of elements in event A to the total number of elements in the sample space
Step 2: Write out the sample space for rolling a dice
[tex]S=\lbrace1,2,3,4,5,6\rbrace[/tex]Add or subtract 5+1 7/8=
Answers
5 + 15/7 =
Find f-g. I do not need explanation, just an answer is fine
Answers
In order to calculate f - g, we need to subtract the functions. To do so, we will need to put the fractions in the same denominator.
So we have:
[tex]\begin{gathered} f-g \\ =\frac{x-1}{x+3}-\frac{x-3}{x+1} \\ =\frac{(x-1)(x+1)}{(x+3)(x+1)}-\frac{(x-3)(x+3)}{(x+1)(x+3)} \\ =\frac{x^2-1}{(x+3)(x+1)}-\frac{x^2-9}{(x+3)(x+1)}_{} \\ =\frac{x^2-1-(x^2-9)}{(x+3)(x+1)} \\ =\frac{x^2-1-x^2+9}{(x+3)(x+1)} \\ =\frac{8}{(x+3)(x+1)} \end{gathered}[/tex]You had some change in your pocket. After your friend gave you $0.45, you 1 pointhad $1.35 altogether. Which equation can you use to find the originalamount of money, m, you had in your pocket? *
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5(2r + 1) - 3 (- 4r + 2)
Answers
We have to rearrange the expression:
[tex]\begin{gathered} 5(2r+1)-3(-4r+2) \\ 5\cdot2r+5\cdot1-3\cdot(-4r)-3\cdot2 \\ 10r+5+12r-6 \\ (10+12)\cdot r+5-6 \\ 22r-1 \end{gathered}[/tex]Answer: 22r-1
The function h(t) = -167 + 16t models the height, in feet, of a ferret t seconds after it jumps. What is themaximum height the ferret reaches?a. 0.5 feetb. 1 footc. 4 feetd. 8 feet
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Answer
Explanation
The function that
Mr. Johnson left a 15 % tip a restaurant check of 29.80 What was Mr Johnson total bill
Answers
Answer: If it is 15 percent then that means we must multiply 29.80 by 1.15 where we then receive the answer of $34.27, hope this helps!
Answer:
34.27
Step-by-step explanation:
15% of 29.80=4.47
29.80+4.47=34.27
It is known that a certain drug causes side effects in 12 % of patients. If we consider a random sampling of 18 patients, what is the probability that at least one has the side effect?
Answers
Based on the percentage of patients that experience side effects, and the random sampling, the probability that at least one patient had side effects was 0.1002.
How to find the probability?This is a binomial probability function due to the random sample of patients and the requirement of finding at least one patient with side effects.
N = 18
p = 0.12
The probability that at least one patient has side effects is:
= 1 - 18 C₀ (0.12)⁰ (1 - 0.12) ¹⁸ ⁻ ⁰
= 1 - 0.10015856616501753156083550152714
= 0.8998
In conclusion, the probability there there is at least a single patient with side effects is 0.8998.
Find out more on probability at https://brainly.com/question/24756209
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The pedestrian runs at 4 km / h. Each step is 62.5 cm long. How many steps will the walk take in 15 minutes?
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Solution
[tex]Speed\text{ = }\frac{distance}{time}[/tex][tex]\begin{gathered} Speed\text{ =4km/h} \\ Time=15minutes=\frac{15}{60}=\frac{1}{4}=0.25hour \end{gathered}[/tex][tex]\begin{gathered} 4=\frac{Distance}{0.25} \\ \\ Distance=\text{ 4}\times0.25 \\ Distance=\text{ 1km} \end{gathered}[/tex]1km is 100, 000cm
[tex]\frac{100,000}{62.5}=1600[/tex]The final answer
1,600 steps
Which set of values all make the inequality x<6.5 true?A.{6.5,9,16,20}B.{−8.2,0,4/5,6}C.{7.4,8,13,15}D.{−13,1.7,4,6.5}
Answers
Given:
We have inequality
[tex]x<6.5[/tex]Required:
We need to find the appropriate option for given inequality
Explanation:
[tex]x<6.5[/tex]means all the values for x is smaller than 6.5 which includes all the negative values too,
so here only option B have all the small values of x
Final answer:
[tex]\lbrace-8.2,0,\frac{4}{5},6\rbrace[/tex]
In 2019 there were 85,823 juveniles arrested in California including: felonies (27,151), status offenses (10,381) and misdemeanors (48,291) What is the % of the status offense arrests?
Answers
85823 ---> 100%
10381 ----> x
[tex]\begin{gathered} x\times85823=100\times10381 \\ 85823x=1038100 \\ \frac{85823x}{85823}=\frac{1038100}{85823} \\ x=12.1 \end{gathered}[/tex]answer: 12.1 % of the status offense arrests
determine the height of each rectangular or triangle pyramid ..square pyramid: volume is 225 cubic inches and base Edge is 5 in
Answers
the height is 18 inches
Explanation:
In the absence of an image to ascertain which of the pyramid we are required to find, I will be solving for the square pyramid due to the limited information given.
Volume of square pyramid = a² × h/2
where a = base edge
base edge = 5 in
volume = 225 in³
225 = (5)² × h/2
225 = 25 × h/2
225 = 25h/2
Cross multiply:
2(225) = 25h
450 = 25h
Divide both sides by 25:
450/25 = 25h/25
h = 18 in
Hence, the height is 18 inches
Not sure if I got the correct answer, I got -13/10
Answers
Given:
[tex]\begin{gathered} (x1,y1)=(-6,6) \\ (x2,y2)=(4.-7) \end{gathered}[/tex]Required:
To find the slope.
Explanation:
The formula foe slope of line is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Here
[tex]\begin{gathered} m=\frac{-7-6}{4-(-6)} \\ \\ =\frac{-13}{10} \end{gathered}[/tex]Final Answer:
The slope is
[tex]m=-\frac{13}{10}[/tex]10^9 is how many times the value of 10^8 ?
Answers
Answer:
10
Step-by-step explanation:
[tex] \frac{ {10}^{9} }{ {10}^{8} } = {10}^{1} = 10[/tex]
In order to join a dance class, you pay a $400 annual fee, then$40 for each class you go to. What is the average cost perclass if you go to 10 classes?
Answers
Annual fee = $400
Cost per class = $40
number of classes = x
Total cost = 400 + 40x
For 10 classes:
TC = 400 + 40(10)
TC = 400+ 400 = $800
Average cost per class: 800/10 = $80
Use the method of your choice to determine the following probability.Drawing three 9s in a row from a standard deck of cards when the drawn card is not returned to the deck each time.
Answers
Answer:
1/5525
Explanation:
In a standard deck of cards, there are a total of 52 cards.
There are 4 cards labeled 9.
Since the draw is without replacement, the total number of cards reduces after each draw. Therefore:
[tex]\begin{gathered} P(\text{picking the first 9)}=\frac{4}{52} \\ P(\text{picking the second 9)}=\frac{3}{51} \\ P(\text{picking the third 9)}=\frac{2}{50} \end{gathered}[/tex]Thus, the probability of drawing three 9s in a row is:
[tex]P(\text{thre}e\text{ 9s)}=\frac{4}{52}\times\frac{3}{51}\times\frac{2}{50}=\frac{1}{5525}[/tex]The probability is 1/5525.
M is the midpoint of AB. If A (4, 0) and M (2, 1.5), then find the coordinates of B.
Answers
Answer: (0,3)
Step-by-step explanation:
