State the center and radius of each circle. then write the equation of the circle in standard form.
See attached:
Answers
Answer:
Step-by-step explanation:
Center: (h, k) (the coordinate of the middle point)r(radius): d(diameter)/2 (can be found by counting the number of units vertically or horizontally)Standard form of a circle: (x - h)² + (y - k)² = r²1.
Center: (-2, 3)
Radius: 10/2 = 5
Standard form/ equation: (x + 2)² + (y - 3)² = 25
Standard form:
(x - (-2))² + (y - 3)² = 5²
(x + 2)² + (y - 3)² = 25
2.
Center: (1, 1)
Radius: 6/2 = 3
Standard form/ equation: (x - 1)² + (y - 1)² = 9
Standard form:
(x - 1)² + (y - 1)² = 3²
(x - 1)² + (y - 1)² = 9
Hope this helps!
#1
Centre(-2,3)Radius=5=rEquation:-
(x-h)²+(y-k)²=r²(x+2)²+(y-3)²=5²(x+2)²+(y-3)²=25★More simply.
x²+4x+4+y²-6y+9=25x²+y²+4x-6y=12#2
Centre(1,1)Radius=3Equation
(x-1)²+(y-1)²=3²(x-1)²+(y-1)²=9★Related Questions
Find the area of the shape.
Answers
Answer:
pi or 3.14
Step-by-step explanation:
this shape is a quarter of a circle.
so, we can just find the area of the whole circle and then divide the answer by 4.
to find the area of this shape we use the formula:
pi × r^2 × 1/4
so the answer is: pi since r^2 and 1/4 cancel each other out.
Please helppp!!!!!
Graph the following systems of equations. Then state the answer
Answers
Answer:
The y-intercept for the 1st one is (0, -3)
The y-intercept for the 2nd one is (0,3)
Step-by-step explanation:
I hope this helped you out. =)
PLEASE HELPPPPPPPP!!!!
Answers
Answer:
See below ~
Step-by-step explanation:
1.
x² + y² + 14x - 2y = -1[x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1(x + 7)² + (y - 1)² = 49Centre = (x, y) = (-7, 1)Radius = √49 = 72.
x² + y² - 10x + 8y - 8 = 0[x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0(x - 5)² + (y + 4)² = 49Centre = (x, y) = (5, -4)Radius = √49 = 73.
Points are : (-2, 1) and (4, 3)D = √(4 + 2)² + (3 - 1)²D = √36 + 4D = √40D = 2√10Two tourist groups went to the local art museum. The admission for an adult ticket costs the same amount, and the admission for student ticket costs the same amount.
The first tourist group paid $46.90 for 3 adult and 5 student admission tickets.
The second tourist group paid $29.60 for 2 adult and 3 student admission tickets.
What was the cost in dollars of each adult admission ticket?
Group of answer choices
$6.25
$7.30
$7.75
$5.00
Answers
Answer:
the answer is going to be $5.00 cost dollar each adult
Step-by-step explanation:
because they pay the same money as students
Enn ran Four-fifths of a mile and then walked Seven-eighths of a mile around a track. Which expression can be used to find how much farther she walked than ran?
Answers
Answer:
ANSWER: A) 15/40 and 28/40
Step-by-step explanation: Ive done this before lol
A biologist is studying the weights of female polar bears in the Arctic and finds that the mean weight is 179 kg with a standard deviation of 63 kg. Assume weights are normally distributed. What is the weight of a polar bear at the 30th percentile?
Answers
Answer:
294.1 pounds
Step-by-step explanation:
We find the z score for 90th percentile
= 1.282
Step 2
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score ??
μ is the population mean = 230 pounds
σ is the population standard deviation= 50 pounds
1.282 = x - 230/50
Cross Multiply
1.282 × 50 = x - 230
64.1 = x - 230
x = 230 + 64.1
x = 294.1 pounds
Question 14 of 15
Len wants to learn more about red kangaroos. Which of the following is a
statistical question Len could ask?
O A. How tall is a red kangaroo?
O B. Are there red kangaroos in Asia?
• C. Are red kangaroos an endangered species?
O D. What iS the tallest red kangaroo ever recorded?
Answers
Answer:
A statistical question Len could ask is "How tall is a red kangaroo?"
Step-by-step explanation:
A statistical question is something that we can ask and test hypotheses about using collected data. There will not be a specific answer, but rather multiple answers and we can average them in a sampling distribution.
Let's examine each question:
"How tall is a red kangaroo?"
There is not a specific height for each kangaroo, so we can take the averages of many different samples and find the "true mean" in the sampling distribution. This is a good example of a statistical question because data can be collected on red kangaroos and means can be calculated."Are there red kangaroos in Asia?"
"Are red kangaroos an endangered species?"
What is the tallest red kangaroo ever recorded?"
These are all examples of non-statistical questions. They are "yes" or "no" questions, and we cannot take multiple samples to determine the answer. Rather, there is a single answer that we do not need to test hypotheses or perform any statistical calculations.Celeste took a taxi. The meter said $45. She tips the driver 15%. How much money did she pay the taxi driver?
Answers
Answer:
so I believe we can do 15% of 45, so that is 6.75.
so now we do:
45.00
+ 6.75
51.75 is your answer!
please mark brainliest if correct!
492+817=492,817 is it correct
Answers
Answer:
I support, but this is actually the addition.
492+817 = 1309, yes :)
Step-by-step explanation:
pls help me I don’t know how to do this!
Answers
EA = 16.3
[tex]\bold{EXPLANATIONS:}[/tex]
find the domain of this equation x+5/x+5
Will award brainliest BIG BOI POINTS
Answers
who likes the hair. x2+5(7-6)=. 6÷2(1+2)=
Answers
Answer:
1. 2x + 5
2. 9
Step-by-step explanation:
1. x2+5(7-6)
2x+5(7-6)
2x+5·1
= 2x+5
2. 6÷2(1+2)
6÷2·3
= 9
whats a cooler number 86 or 42?
Answers
Answer:
86
Step-by-step explanation:
because 86 reminds me of 69
please help me, thanks if you do
Answers
Answer:
Step-by-step explanation:
It represents the initial number of bacteria to start with. It can represent nothing else.
In this diagram,
three concentric circles
rectangle. Point C lies on the middle
have their centers at O, and OABC is a
lies on the outer circle.
circle, point A lies on the inner circle, and point B
the smallest circle.
The intersection point of the rectangle's diagonals also lies on
1. If the radius of the smallest circle is 3, find its area.
2. Find the area of the yellow ring.
3. Find the area of the white ring.
I just need help on 2&3 i dont really know how to do that!
Answers
The area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².
What is the area of the circle?The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
In this diagram, three concentric circles' rectangle.
Point C lies in the middle have their centers at O, and OABC is a lies on the outer circle. Point A lies on the inner circle, and point B the smallest circle. 1. The area of the smallest circle-The radius of the smallest circle is 3.
[tex]r_1=3\rm\unit[/tex]
Thus, the area of it is,
[tex]A=\pi (3)^2\\A=28.27\rm\; unit^2[/tex]
2. The area of the yellow ring.Let suppose the mid-point of the rectangle is D. Here, OB is the diagonal of the rectangle in which,
[tex]OD=BD[/tex]
The radius of the yellow ring's outer face from point O is,
[tex]r_3=OD+BD\\r_3=OD+OD\\r_3=2OD\\[/tex]
OD is the radius of the small circle, which is 3 units long. Thus,
[tex]r_3=2\times3\\r_3=6\rm\; units[/tex]
The line segment OC is the radius of the white circle from point O. In the triangle COB from the Pythagoras theorem, the radius r₂ of the middle circle is,
[tex]r_2=\sqrt{r_3^2-r_1^2}\\r_2=\sqrt{6^2-3^2}\\r_2=3\sqrt3[/tex]
Thus, the area of the yellow ring is,
[tex]A_y=\pi r_3^2-\pi r_2^2\\A_y=\pi (6)^2-\pi (3\sqrt{3})^2\\A_y=28.27\rm\; unit^2[/tex]
3. The area of the white ring.The area of white ring is,
[tex]A_w=\pi r_2^2-\pi r_1^2\\A_w=\pi (3\sqrt{3})^2-\pi (3)^2\\A_w=56.55\rm\; unit^2[/tex]
Hence, the area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².
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5(y+2)= -3
Help please TvT
Answers
Answer:
-2.6
Step-by-step explanation:
Given: 5(y+2)= -3
Do the parentheses (Multiply 5 by Y and 2): 5y+10=-3
Simplify (subtract 10 from both sides): 5y=-13
Simplify again (divide both sides by 5): y=-2.6
Double-Check:
Given (replace -2.6 for Y): 5(-2.6+2)=-3
Do the parentheses (Add-2.6 and 2): 5(-0.6)=-3
Simplify (Multiply 5 by -0.6): -3=-3 ✔️
The answer checks out.
Conner goes shopping for school supplies. He buys 3 notebooks that cost $4.50 each.
Conner also buys a pack of pencils for $2.50 and a large binder for $7.50. If there is a
6% sales tax applied to the total, what will be the total cost?
Answers
Answer:
but I think 2.39 but I know it
Calculate the area of the red triangle to find the area of the garden. Show your work.
Side A is 90ft
Side B is 120
Side C is 150.
Answers
f(x)=−2x+16
g(x)=4x+10
please give me the intersection points
Answers
Answer:
(1, 14)Step-by-step explanation:
The intersection is when both functions have same coordinates
f(x) = g(x)Substitute to get
- 2x + 16 = 4x + 104x + 2x = 16 - 106x = 6x = 1The y- coordinate is
y = - 2(1) + 16 = -2 + 16 = 14So the intersection point is (1, 14)
Answer:
(1, 14)
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-2x+16\\g(x)=4x+10\end{cases}[/tex]
Substitute the function notation for y to create a system of equations:
[tex]\begin{cases}y=-2x+16\\y=4x+10\end{cases}[/tex]
To find the points of intersection of the given functions, solve the system of equations.
Multiply the first equation (function f(x)) by 2:
[tex]\implies 2y=-4x+32[/tex]
Add this to the second equation (function g(x)) to eliminate x:
[tex]\begin{array}{r l}4x+10 & = y\\+ \quad -4x+32 & = 2y\\\cline{1-2} 42 & = 3y\end{array}[/tex]
Solve for y:
[tex]\implies 3y=42[/tex]
[tex]\implies y=14[/tex]
Substitute the found value of y into one of the equations and solve for x:
[tex]\implies 4x+10=14[/tex]
[tex]\implies 4x=4[/tex]
[tex]\implies x=1[/tex]
Therefore, the point of intersection of the given functions is (1, 14).
In a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. if the confidence interval is 95%, the margin of error for this survey is %, and the maximum number of employees who could have agreed is about .
Answers
If the confidence interval is 95%, the maximum number of employees who could have agreed is about is 144.
Maximum number of employeeFirst step
Confidence interval=(Population±Margin of error)
Confidence interval=(0.65±0.0675)
Confidence interval=(0.65-0.0675); (0.65+0.0675)
Confidence interval=0.5825; 0.7175
Second step
Maximum number= 0.7175×200
Maximum number=143.5
Maximum number=144 (Approximately)
Therefore the maximum number of employees who could have agreed is about is 144.
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Pls Helo ASAP WILL GIVE BRAINLIEST and 100 points. Open the document below and answer all the questions.
Answers
Answer:
The third question is asking you to use the diamond method to solve. At the top of the x would be -16 and the bottom would be -6. The left side would have -8 and the right side would have 2. So the factored form would be (n-8)(n+2)
Step-by-step explanation:
The same thing applies to part b. The top of the x would be 15 and the bottom -8. The left would be -3 and the right would be -5. The factored from would be (x-3)(x-5)
Answer:
Wow! what a worksheet lol! I think I got all your answers here!
Step-by-step explanation:
What is 6 over 9 simplified
Answers
Answer:
2/3
Step-by-step explanation:
[tex] \frac{6}{9} [/tex]
[tex] \frac{6}{9} = \frac{2 \times 3}{3 \times 3} [/tex]
[tex] = \frac{2}{3} \times \frac{3}{3} [/tex]
[tex] = \frac{2}{3} \times 1 = \frac{2}{3} [/tex]
I hope it helped you
Answer:
531441
Step-by-step explanation:
im pretty sure this is it!
find an equation and the slope of the line that passes through (5,2) and is perpendicular to the x-axis
y=2; The slope is undefined.
x=5; The slope is 0.
y=2; The slope is 0.
x=5; The slope is undefined.
Answers
Solution: x = 5; The slope is undefined.
The slope that is perpendicular to the x-axis is undefined.
Explanation:
Given point: (5,2)
Since the line is perpendicular to the x-axis, then, the line is vertical.
Hence, x = 5
Answer:
x = 5, the slope is undefined
Step-by-step explanation:
Hello!
To be perpendicular to the x-axis, the line has to intersect at a 90° angle, causing it to be a vertical line with an undefined slope.
This removes the two middle options, as they have a slope of 0.
Consequently, looking at the two options, y=2, and x=5, y=2 would give us a parallel line to the x-axis, as we are drawing a line through all points with a y-coordinate of 2.
The correct option is x=5.
Find the area of the prism 14 in. 4 in. 9in.
Answers
Answer:
504 in cubed
Step-by-step explanation:
I am assuming this is a rectangular prism, since you did not show a picture.
l x w x h
14 x 4 x 9
14 x 36
504
i will give Brainliest if half of the questions are answered
Answers
Answer:
Sorry I only know nuber 11 witch is 15
_
100
Step-by-step explanation:
A train traveled at the same speed for 3 hours. It went 80.31 miles in all. How fast was the train going
Answers
Answer:
26.77 mph
Step-by-step explanation:
Formula for Avg. Speed = Distance/Time
80.31/3 = 26.77
Answer:
26.77 miles per hour
Step-by-step explanation:
Distance ÷Time
80.31 miles ÷3hrs
= 26.77 miles per hour
Find the length of an arc that subtends a central angle of 159° in a circle of radius 21 ft.
Answers
Answer: 58.2765 feet
Step-by-step explanation:
A lock has a 3-number code made up of 13 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answers
Answer:
1716
Step-by-step explanation:
The first choice would be 1 of 13
The second choice would be 1 of 12 (it can't be the same as the first number since they don't repeat)
The third choice would be 1 of 11 (again, can't use the same number more than once)
That gives you 13*12*11=1716
The number of ways we can choose three different numbers in order for a unique code for this case is 2730.
What is combination?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
here, we have,
We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of mCk ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
mPk = m! / (m - k)!
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number code
There are 15 numbers available.
None of the number can repeat.
In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = 15P3 = 2730
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
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(50 points + Brainliest) Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can have 2 or more numbers within the set of parentheses.
Answers
Answer:
1/2 x [(12/2)-6]+13
Step-by-step explanation:
something like that. hope it helped sista
Which function has the greatest maximum range value?
Answers
The function f(x) is a sine graph, and the function with the greatest maximum range value is the function f(x)
How to determine the function with the greatest maximum range value?From the complete question (see attachment), the functions are given as:
Functions f(x) and g(x)
The maximum range value of these functions is their maximum output value
Function f(x) has a maximum range value of 3, while function g(x) has a maximum range value of -2
3 is greater than -2
Hence, the function with the greatest maximum range value is the function f(x)
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