Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]
[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]
[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+4}[/tex]
[tex]r=\sqrt{13}[/tex]
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].
[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]
[tex](x+2)^2+(y-1)^2=13[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].
HELP PLEASEE I STRUGGLING
Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.
How many copies makes both stores cost the same amounts?
Answer:
Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.
car`e 3,000 = 2458.0? maro et
Step-by-step explanation:
How much larger is the circumference of circle A than the circumference of circle B?
Give your answer to one decimal place.
diameter of circle A is 13 and B is 8
Answer:
Circumference of Circle A is about 16 units larger than the Circumference of Circle B
Step-by-step explanation:
Formula for Circumference of a circle = πd
Where, d = diameter of circle
Thus:
Circle A diameter = 13
Circle B diameter = 8
Therefore:
Circumference of Circle A = π*13 = 40.8407045 ≈ 41 unit (nearest whole number)
Circumference of Circle B = π*8 = 25.1327412 ≈ 25 unit (nearest whole number)
✔️Difference between circumference of Circle A and Circle B = 41 - 25 = 16
Therefore the Circumference of Circle A is about 16 units larger than the Circumference of Circle B
what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..
Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...
Sistar-Loving You. Another great leg workout. ...
Sistar-Touch My Body. Very fun and lighthearted. ...
Sistar19-Ma Boy. Same. ...
Secret-Madonna. I love this dance, it's a classic on my workout routine. ...
Secret-Love Is Move. ...
Hyuna-Bubble Pop. ...
Step-by-step explanation:
How many 3/4s are in 2
Answer:
2
Step-by-step explanation:
If you do three you get more than two
Please help me solve this :((
Answer:
Step-by-step explanation:
hello :
cosθ = 72.90/125.00
cosθ = 0.58
θ= cos-1(0.58)
θ = 54.55°
standard deviation of the data. 221,228,218,319,224
Answer:
Population: 38.64. Sample: 43.20
What is the slope-intercept equation for this
standard form equation?
6x - 3y = 12
Step-by-step explanation:
solve for y
subtract 6x from both sides
6x-6x-3y=12-6x
-3y=12-6x
divide both sides by -3
-3/-3y=(12-6x)/-3
y=2x-4
y=mx+b
m=slope
b=y-intercept
2=slope
-4=y-intercept
Hope that helps :)
What is the value of x in the figure
below?
PLEASE I AM BEGGIN YOU
18 is 14 percent of what?
Answer:
18 is 14% of 128.5714
Step-by-step explanation:
it's 77.78
Step-by-step explanation:
14: 18*100 =
(14*100): 18 =
1400: 18 = 77.78
Now we have: 14 is what percent of 18 = 77.78
Question: 14 is what percent of 18?
Percentage solution with steps:
Step 1: We make the assumption that 18 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=18$100%=18.
Step 4: In the same vein, $x\%=14$x%=14.
Step 5: This gives us a pair of simple equations:
$100\%=18(1)$100%=18(1).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418
$\Rightarrow x=77.78\%$⇒x=77.78%
Therefore, $14$14 is $77.78\%$77.78% of $18$18.
A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.
Answer:
C
Step-by-step explanation:
Pls help me somebody plzzz
Answer:
the answer is
X + 40 + 155 =180
I need help or I will fail
plsss help i’ll give brainliest if you give a correct answer
Answer:
(-2) and 3 and (-4)
Step-by-step explanation:
Answer:
1, 3, and 4
OR
A, C, and D
Step-by-step explanation:
The inequality is f is LESS THAN 4.
-2 is less than 4
7 is GREATER than 4 so this is incorrect
3 is less than 4
-4 is less than 4
This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question.
Answer:
a = 21 - 8
Step-by-step explanation:
to determine the number of apples in each basket, first determine the total number of fruits in each basket and subtract it from the number of oranges in each basket
number of fruits in each basket = 168 / 8 = 21
a = 21 - 8
What is the volume of a cylinder, in cubic m, with a height of 6m and a base diameter
of 18m? Round to the nearest tenths place.
Answer:V= 1526.8m3
Step-by-step explanation: pi (9)2(6)
A cylinder is a three-dimensional structure formed by two parallel circular bases. The volume of a cylinder, in cubic m, with a height of 6m and a base diameter of 18m is 1526.814.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the height of the cylinder is 6m, while the base diameter is 18m. Therefore, the volume of the cylinder can be written as,
Volume of cylinder = (π/4)×d²×h = (π/4)×18²×6 = 1526.814m³
Hence, the volume of a cylinder, in cubic m, with a height of 6m and a base diameter of 18m is 1526.814.
Learn more about Cylinder:
https://brainly.com/question/12248187
#SPJ2
Data that's displayed randomly on a scatter plot graph illustrates
positive correlation.
negative correlation.
none of these.
no correlation.
ANSWER
NO CORRELATION
ILL MARK U BRAINLIEST
i think its 107
Step-by-step explanation:
you multiply 11x7 then 6x5 then you add the answers from those
What is the domain of the function?
Answer: -6 ≤ x < 4
Step-by-step explanation:
Open circles on a graph mean that that point is not included
Filled in circles on a graph mean that that point is included
As a result, the end point (-6, -6) is included while (4, 8) is not
The domain is all possible x-values so the graph can be anywhere from:
-6 ≤ x < 4
Note that there are no possible values for the x-value of 4
Write a fraction on the blank to make the comparison true .Use the fractions form the box .Explain how you choose your number 3/5>3-4
Answer:
Explained
Step-by-step explanation:
So I'm not sure if you mean by 3/4 or 3-4. But I'm going to assume that its 3-4 because 3/4 is greater than 3/5
3/5 is equal to 0.6 -> you can also find 0.6 by multiplying 3/5 * 2 on both sides which will be 6/10 which is 0.6
and 3-4 is - 1 (which is negative)
since 3/5 is positive and 3-4 is negative. You would know that this is true.
8-1 and 1/2 show your work
Answer:
The answer is 6.5
Step-by-step explanation:
Factor completely. 492 – 9 =?
Answer:
483
Step-by-step explanation:
Answer:
483
Step-by-step explanation:
subtract 492 by 9 and it is =483
PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15
A: x2+(y+16)2 = 15−−√
B: (x+16)2+y2=15
C: x2+(y+16)2= 15
D: x2+(y−16)2 = 15
Answer:
x^2+(y+16)^2=15
Step-by-step explanation:
(x-0)^2+{y-(-16)}^e=(√15)^2
→x^2+(y+16)^2=15
Answer:
C. x² + (y + 16)² = 15Step-by-step explanation:
Equation of circle:
(x - h) + (y - k) = r², where (h, k) is the center and r is the radiusWe have:
h = 0, k = -16, r = √15Substitute the given into the equation above and get the equation of the given circle:
(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15Correct choice is C
R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1
Answer:
R=x = R= −2 =x =6 =R =x =− 3=
Step-by-step explanation:
Help me, please I beg you
ALthough I'm not 100% sure, I think it may be either because the points don't continue and stop short, or the lack of connection between the choices. I hope this helps in some way
10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15
Answer:
A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
Step-by-step explanation:
Given
Ryan: 3 boxes per hour
Daniel: [tex]y = 4h[/tex]
Required
True statement about their functions
First, we calculate Ryan's function.
In 1 hour, he can pack 3 boxes.
In hours, he can pack 3h boxes.
So, the equation is:
[tex]y = 3h[/tex]
So, we have:
[tex]y = 3h[/tex] ---- Ryan
[tex]y = 4h[/tex] --- Daniel
Both functions represent direct proportional functions.
So, when h increases y also increases.
However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.
Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
Find x and y with ray theorem
Answer:
x = 12 and y = 9
Step-by-step explanation:
Using the similarity theorem to fid the value of x and y
16/x = 16+6/16.5
16/x = 22/16.5
22x = 16*16.5
22x = 264
x = 264/22
x =12
Similarly
24/x = 24+y/16.5
24/12 = 24+y/16.5
2 = 24+y/16.5
24+y = 2 * 16.5
24+y = 33
y = 33-24
y = 9
Hence x = 12 and y = 9
f(x)=x^2-4 need help
NHDHDHDHDUDIDIDIDIDIFUFUTURURURURURURURURURURURURURUTURURYRYRYRYRYDYRYRYYRYRURYFRF
find the value of given expression
[tex] \sqrt{2 - 1} [/tex]
Answer:
Answer is 1 I hope this help
Which expression is equivalent to the expression -3(4x - 2) - 2x?
Answers:
-8x
-16x
-14x - 2
-14x + 6
Answer:
-14x+6
Step-by-step explanation:
we distribute -3 in to get:
-12x+6-2x
Combine like terms
-14x+6