question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answers
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
To learn more about circle click :
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Related Questions
6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again. If the ball continues to rebound and fall in this manner, find the total distance the ball has travelled after it hits the ground the 5th time. This may be answered in decimal form. Round your answer to 2 decimal places.
Answers
Answer:
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and [tex]q[/tex] is the common ratio.
A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.
This means that:
[tex]q = 0.7, a_1 = 25*0.7 = 17.5[/tex]
Then
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_n = 17.5(0.7)^{n-1}[/tex]
First 5 terms:
[tex]a_1 = 17.5[/tex]
[tex]a_2 = 17.5(0.7)^{2-1} = 12.25[/tex]
[tex]a_3 = 17.5(0.7)^{3-1} = 8.58[/tex]
[tex]a_4 = 17.5(0.7)^{4-1} = 6[/tex]
[tex]a_5 = 17.5(0.7)^{5-1} = 4.2[/tex]
Find the total distance the ball has travelled after it hits the ground the 5th time.
[tex]T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53[/tex]
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
says hint: divide, i dunno
Answers
distance= rate * time
distance/rate=time
(2.4 *10^20)/ (1.2*10^5) = 2 * 10^15 seconds
4.2kg of oranges are £8.76. How much does 2kg cost
Answers
Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
2kg cost £4.18
Step-by-step explanation:
4.2 kg of oranges cost £8.76
:. 1 kg of orange cost £8.76/4.2 = £2.09
2kg cost 2 × £2.09 = £4.18
pls help me solve pls show how you got the answer
Answers
Answer:
$348
Step-by-step explanation:
Unit rate:
Sales clerk: $12/h
Assistant manager: 1/2 x 12= $6/h
Manager: 2 1/2 x 12= $30/h
Now for how long they will work (7.25 hours long):
Sales clerk: 12 x 7.25= $87
Assistant manager: 6 x 7.25= $43.5
Manager: 30 x 7.25= $217.5
In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.
I hope this will help qwq
A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey... -Goes up three feet -But, slips down two feet How long will it take the monkey to get to the top of the tree?
Answers
Answer:
58 Minute
Step-by-step explanation:
According to the Question,
Given, A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey Goes up three feet But, slips down two feet.Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.
Now, at the 58th minute, he climbs 3 feet MoreThus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)
the monkey will take total 58 minutes to get to the top of the tree.Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy
Answers
Answer:
15
Step-by-step explanation:
u add up that then u get the answet
ramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/h, then find the speed of ramu in still water.
(a) 12km/h
(b) 8km/h
(c) 9km/h
(d) 6km/h
please answer :)
Answers
Answer:
:5 or 6km per hour is your answer.
Please help me solve my problem!!!
Answers
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3
Answers
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]
∴ (-x + 2)³ = 0
x = 2
[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).
PLZZ HELP ME ITD MEAN THE WORLD
Answers
Answer: 33/3
Step-by-step explanation:
I don't know the question is weird but it probably is 33/3
Please help me out for the question is it
A.275 centimeters
B.94 centimeters
C.144 centimeters
D.85 centimeters
You’ll be marked as brainliest
Answers
I think c because from what remember taking this test
Please answer 8,9, and 10!!
Answers
Answer:
260,
43.73,
34.28
Step-by-step explanation:
8. Triangle's base is 10, height 4.
10 * 4 = 40
40/2 = 20
24 * 10 = 240
240 + 20
= 260
9. Radius 3.
πr²
9π
12 * 6 = 72
72 - 9π
≈43.73
10. Semicircle has a radius of 2.
2²π
4π
4π/2 = 2π
≈6.28
6.28 + 28 = 34.28
≈34.28
8. It has Triangle embedded to a Rectangle
Area of Figure =Area of Triangle + Area of Rectangle
Area of Triangle = ½ base x height
= ½ x 10 x 8 =40
Area of Rectangle= 24 x 10 =240
TOTAL AREA OF FIGURE = 240 + 40 = 280
9.
Its a rectangle with a Circle in the Middle
Area of Shaded Region would be
Area of Rectangle – Area of circle
Area of Rectangle = 12 x 6 =72
Area of Circle = πr² = π x 3² = 28.27
AREA OF SHADED REGION= 72 - 28.27
=43.73in².
10.
The shape contains a semicircle on a rectangle
Area of the shape = Total Surface Area of semicircle + Area of a Rectangle
Total Surface Area of a semi circle=2πr²
Diameter was given = 4cm
Radius = Diameter/2 = 4/2 = 2cm
= 2 x π x 2² = 25.13cm²
Area of rectangular part = 4 x 7 =28cm²
AREA OF FIGURE = 25.13 + 28 =53.13cm².
Pls notify me if there are any Mistakes.
Have a great day!
Which dot plot shows 3 students purchased 4 books at the book fair? A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 3 dots, 4 has 4 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Answers
Answer:
A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Step-by-step explanation:
The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If he earns $5.00 per hour, how many hours did Anthony work?
Answers
Answer:
5 hours
divide 25 by 5 you get 5
Please help.............
Answers
Answer:
...........
2(x + 2) + 2x = 20
Answer:
x(x+2) = 20
Step-by-step explanation:
Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)
What is the product of 4xy and y^2 + 2x
Answers
Answer:
C
Step-by-step explanation:
4xy(y^2 + 2x) Remove the brackets (distributive law)
4xy^3 + 8x^2y
You have to turn the two terms around to see the correct answer. That's perfectly alright when dealing with addition of pluses.
8x^2y + 4xy^3
Helppppppppppp:)))))))))
Answers
Hi there!
We are given the set of ordered pairs below:
[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]
1. What is the domain?
Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}
2. What is the range?
Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}
3. Is the relation a function?
All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.
These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.
From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).
Good luck on your assignment, have a nice day!
Edgar has a business painting Lines on the Highway. His workers can pay online 1/6 of my along every 10 minutes. At the end of an eight-hour workday, how many miles of wine will his workers have painted.
Answers
Answer:
8 miles
Step-by-step explanation:
In every 10 minutes, the workers paint 1/6 miles
Total number of minutes in 8 hours = 8 *60 = 480
Number of ten minutes in 480 minutes = 48
total miles of wine painted = 1/6 * 48 = 8 miles
21. Glass Vase You are taking a glass-blowing class and have created a vase in the
shape of a sphere. The vase will have a hole in the top so you can put flowers in it
and it will sit on a stand. The radius of your vase is 21 inches. Use the formula
= ar to write an expression for the volume of your vase.
V
Answers
Answer:
V = 12,348·π
Step-by-step explanation:
The given parameters of the glass Vase are;
The shape of the glass vase = A sphere
The radius of the vase, r = 21 inches
The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]
Therefore, when r = 21 inches, we get;
[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]
Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π
-7 2/3 + (-5 1/2) + 8 3/4
Answers
Answer:
the answer would be -1339/24
Please help!!
A diameter is 22 feet. What is the radius?
Answers
Answer:
11, take 22 and divide by 2 because radius is half
Step-by-step explanation:
hope this helps
Answer:
r = 11 ft
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r= 1/2 (22)
r = 11 ft
si alguien me ayuda en esta doy coronita
Answers
Answer: yuh Step-by-step explanation: yuh
Answer:
11/8, 7/4, 8/2
someone reported me
Please answer these graph questions for the following! (✿◡‿◡)
a) how far did he go before stopping?
b) which part of the journey is the traveling the fastest a, b, c, or d?
c)what was his speed on the last section of his journey (d)?
Answers
Answer:
60
a
30
Step-by-step explanation:
I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie
A girl runs 2 km in 1 hour . How long will she take to ran 500 m ?
Answers
Answer:
1/4 he
Step-by-step explanation:
Answer:
1/4 hour
Step-by-step explanation:
convert 2 km to m
1 km = 1000m
2 km = 2*1000 m
=2000 m
distance time taken
2000 m 1 hour
500 m let be x
2000/500 = 1/x
do cross multiplication
500*1 = 2000*x
500/2000 = x
1/4 = x
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room
Answers
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
contruct triangle LMN with LM=6cm,MM=9cm and LN =5cm
Answers
Answer:
LNM are quations the answer
Step-by-step explanation:
L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90
Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79
Answers
Answer:
0.7
Step-by-step explanation:
7/9 = 0.7
Answer:
0.7 (with the repeating sign on the 7)
Step-by-step explanation:
which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)?
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line
what is the measure of ABD
Answers
Answer:
39
Step-by-step explanation:
This is another one same thing but not the same problem
Answers
#1 is a. 11.25
#2 is h. 375
#3 is B 82.50
