Answers
Answer:
(x - 8)² + (y - 5)² = 400
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
the radius is the distance from the centre to a point on the circle
use the distance formula to calculate r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (8, 5 ) and (x₂, y₂ ) = (- 4, 21 )
r = [tex]\sqrt{(-4-8)^2+(21-5)^2}[/tex]
= [tex]\sqrt{(-12)^2+16^2}[/tex]
= [tex]\sqrt{144+256}[/tex]
= [tex]\sqrt{400}[/tex]
= 20
then with (h, k ) = (8, 5 ) and r = 20, the equation of the circle is
(x - 8)² + (y - 5)² = 20² , that is
(x - 8)² + (y - 5)² = 400
Answer:
[tex](x-8)^2+(y-5)^2=400[/tex]
Step-by-step explanation:
The standard equation of a circle is:
[tex]\boxed{(x-h)^2+(y-k)^2=r^2}[/tex]
where:
(h, k) is the center.r is the radius.The given center of the circle is (8, 5).
To find the value of r², substitute the circle and the given point (-4, 21) into the equation and solve for r².
[tex]\begin{aligned}(-4-8)^2+(21-5)^2&=r^2\\(-12)^2+(16)^2&=r^2\\144+256&=r^2\\400&=r^2\end{aligned}[/tex]
Finally, substitute the center and r² into the formula to create an equation of the circle with the given parameters:
[tex]\boxed{(x-8)^2+(y-5)^2=400}[/tex]
Related Questions
Find the area of the following figure: 14ft 6ft 9ft
Answers
Step-by-step explanation:
s = a+b+c / 2
= 14+6+9 / 2
= 14.5 feet
Area = √s(s-a)(s-b)(s-c)
= √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)
ANSWER: 18.410255294265 feet^2
Water in a 14mm diameter pipe flows at 2m/s. How many liters flow along the pipe in 1 minute
Answers
Answer:
The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.
Step-by-step explanation:
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answers
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
find the missing base below
|
|
|
V
Answers
Step-by-step explanation:
area of a parallelogram is bh
so if a parallelogram has a base of b and a height of 10 and an area of 140
b(10)=140
b=14
Hope that helps :)
2.45 divided by 0.17 =
Its not 14.41176470588235
Answers
Answer:
0.06938775
Step-by-step explanation:
This is the correct answer.
PLEASE HELP DUE IN 2 HOURS!
4.22 g/cm to lbs/ft
Answers
Answer:
The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.
Step-by-step explanation:
In order to solve, divide the mass / length value by 14.882.
I hope this helps you.
Find the volume of the sphere below. Leave your answer in terms of pi.
Answers
Answer:
C) 972π
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
r = 9
Work:
V = 4/3πr³
V = 4/3π9³
V = 4/3(729)π
V = 972π
your most exciting day of school
Answers
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
What is the total surface area of a cylinder with a radius of 12 mm and height of 3 mm? (Use 3.14 for it.) DO NOT PUT LABEL ON ANSWER.
Answers
Answer:
A≈1130.97
------------------------------------------------------
Step-by-step explanation:
A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336
Need answers plz would be appreciated
Answers
Answer:
1) x=5
2) x=7
3) x=8
4) x=4
5) x=7
6) x=8
Step-by-step explanation:
Since each pair is similar, their sides are in ratio:
1)
(2x+2)/6=18/9
2x+2=2*6
2x=12-2
x=10/2
x=5
2)
(x-2)/4=10/8
x-2=1.25*4
x=5+2
x=7
3)
(3x-6)/12=24/16
3x-6=1.5*12
3x=18+6
x=24/3
x=8
4)
(2x+4)/15=16/20
2x+4=0.8*15
2x=12-4
x=8/2
x=4
5)
(x+2)/15=6/10
x+2=0.6*15
x=9-2
x=7
6)
(-3+x)/6=10/12
-3+x=6*(10/12)
x=5+3
x=8
What is the factored form of this expression?
9x2 – 64y2
Answers
Answer:
(3x + 8y)(3x - 8y)
Step-by-step explanation:
this is the difference of 2 perfect squares.
9x2 - 64y2
(3x + 8y)(3x - 8y)
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answers
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
Simplify the expression:
6(5 + x) - 2x
Answers
Answer: 30+4x
Step-by-step explanation: Expanding the expression you would get 30+6x-2x and then you subtract the 6x and 2x to get 4x
Answer:
30+4x.
Step-by-step explanation:
yehdbebdbejeiiwiwuebdbsjjjwiwjeurnfnd
PLZ HELP ASAP!!! 9 equals x over 2 + 2
Answers
just get x alone
A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.
Answers
Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST
Answers
Answer:
1.) M=9,-9 2.) x=10,-10 3.) n=3,-3 4.) x=2,-2
Step-by-step explanation:
Please help answer !:)
Will give brainlst!!
Have a nice day
Answers
Answer:
10, exponents, 10, expression
Step-by-step explanation:
Choose all the possible solution that makes the inequality statement True
x + 15 ≤ 35
O 20, 21, 22
O 18, 19, 20
O -18,-19,-20
O 50, 51, 52
Answers
Answer:
18, 19, 20
-18,-19,-20
Step-by-step explanation:
x + 15 ≤ 35
x ≤ 35 - 15
x ≤ 20
x must be 20 or less than it
A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP
Answers
Answer:
36
Step-by-step explanation:
nine times 4 is 36 making it 36 options to choose from
hope this helps! :)
Convert .45 tons to kilograms to the nearest hundredth
Answers
Answer:
40,823.31 kilograms.
Step-by-step explanation:
Find the area and perimeter of ABC. A(-2,-4)B(1,5)C(2,2)
Answers
The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.
To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:
The distance between two points (x1, y1) and (x2, y2) is given by:
AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²
Formula for Area of Triangle: If we know the length of the three sides of a triangle then,
using Heron's formula, we can calculate the area of the triangle as:
area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2
Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.
That is: perimeter = AB + BC + ACArea of ΔABCAB
= √(1 - (-2))² + (5 - (-4))²AB
= √3²+9² = √90BC
= √(2 - 1)² + (2 - 5)²BC
= √1²+3² = √10AC
= √(2 - (-2))² + (2 - (-4))²AC
= √4²+6²
= √52Semi-Perimeter (s)
= (AB + BC + AC)/2
= (√90 + √10 + √52)/2
= 12.8572Area of ΔABC
= √s(s-a)(s-b)(s-c)
= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)
= 23.5
Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174
To learn more about : area
https://brainly.com/question/25292087
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please help i’ll give brainliest
Answers
The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317
6. What score does Marcus need in his next
game to have a mean of exactly 325?
Answers
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]
Simplify,
[tex]\frac{2233+x}{8}=352[/tex]
Inverse operations,
[tex]2233+x=2816\\\\x = 583[/tex]
Answer:
It’s 367
Step-by-step explanation:
How many of these figures have at least one vertex?
Answers
Answer:
Two of those figures have a vertex.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
The number of figures has at least one vertex is 2. Therefore, option C is the correct answer.
What is a vertex?A vertex is a point in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral.
From the given figure,
Sphere: Spheres have no vertex (the surface is a curve).
Triangular pyramid: Triangular pyramid has 5 vertex, 4 faces and 6 edges
Cube: Cube has 8 vertex, 6 faces and 8 edges.
Cylinder: A cylinder has 0 vertices. A cylinder has 2 edges. A cylinder has 2 faces and 1 curved surface.
Therefore, option C is the correct answer.
Learn more about the vertex here:
https://brainly.com/question/18933031.
#SPJ2
100 POINTS!!
What is the value of x? Enter your answer in the box.
Answers
4. What percent of values is between the first and third quartiles?
5. Find the interquartile range.
Answers
Answer:
IQR = 2.5
Step-by-step explanation:
Question 5:
IQR=Q1-Q3
IQR=4.75-2.25 = 2.5
Question 4:
Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.
Can anyone else help on question 4?
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answers
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle
Answers
Evan can do one sit-up every 5 seconds. How many minutes will it take him to do 24 sit-ups ?
Answers
Answer: 120 minutes.
not sure if im right lol brainliest or a thank u please :)) <3
24 x 5 = 120
120/60= 2
Someone help me please!!!Divide 100 in the ratio 2:3.
Answers
Answer:
pirwvjihpwrugh
Step-by-step explanation:
wrhfuwhfuhugfrifhi
Answer:
not possible
Step-by-step explanation:
It can't be possible because the ratio would be 50:1 is possible