The circle below is centered at the origin and has a radius of 10. What is its
equation?
10
O A. x2 + y2 = 100
O B. x2 - y2 = 10
O c. x2 + y2 = 10
O D. x2 - y2 = 100
Answers
Answer:
x^2+y^2=100
Steps:-
We know Distance formula from origin
[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}[/tex]
Now
[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=10[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=10^2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=100[/tex]
The equation of the circle with radius r = 10 is given by x² + y² = 100
What is a Circle?A circle is a closed 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 equation of circle be represented as A
Now , the value of A is
Let the radius of the circle be r
where radius r = 10
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
The center of the circle is the origin O ( 0 , 0 )
So , h = 0 and k = 0
On simplifying , we get
x² + y² = ( 10 )²
x² + y² = 100 be equation (1)
Therefore , the value of A is x² + y² = 100
Hence , the equation of circle is x² + y² = 100
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Related Questions
Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00
Answers
Answer:
$17,000 at 14% and $9,000 at 2%
Step-by-step explanation:
Let x = amount invested at 14%.
Let y = amount invested at 2%.
x + y = 26000
0.14x + 0.02y = 2560
-0.02x - 0.02y = -520
(+) 0.14x + 0.02y = 2560
-------------------------------------
0.12x = 2040
x = 17,000
x + y = 26000
17000 + y = 26000
y = 9000
Answer: $17,000 at 14% and $9,000 at 2%
What is the value of m in the equation 1/2m - 3/4n = 16, when n = 8?
Answers
Answer: m= 44
Step-by-step explanation:
1/2m - 3/4n = 16 when n is 8 put it into the equation and solve for m.
1/2m - 3/4(8) = 16
1/2m - 6 = 16
+6 +6
1/2m = 22
m = 44
Answer:
44
Step-by-step explanation:
● (1/2 )× m - (3/4) × n = 16
Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)
● 0.5 × m - 0.75 × 8 = 16
● 0.5m - 6 = 16
Add 6 to both sides
● 0.5 m - 6 + 6 = 16+ 6
● 0.5 m = 22
Multiply both sides by 2
● 0.5m × 2 = 22 × 2
● m = 44
Does anyone know the answer
Answers
Answer:
It's False Because Hypotenuse will be the longest side of leg here
What were Malcolm's and Ravi's maximum speeds?
Answers
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Represent the maximum speed of Malcolm and Ravi with equation as follows:
Let Malcom's speed be x, and Ravi's speed by y.
The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]
[tex] x + y = 260*2 [/tex]
[tex] x + y = 520 [/tex] => equation 1.
We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]
[tex] 2x - y = 80 [/tex] => equation 2
Now that we have 2 equations as a system, solve for the values of x and y simultaneously.
Add both equations together to eliminate y
[tex] x + y = 520 [/tex]
[tex] 2x - y = 80 [/tex]
[tex] 3x = 600 [/tex]
[tex] x = \frac{600}{3} [/tex]
[tex] x = 200 [/tex]
Plug in the value of x into equation 1 to find y.
[tex] 200 + y = 520 [/tex]
[tex] y = 520 - 200 [/tex]
[tex] y = 320 [/tex]
Malcom's maximum speed = x = 200 km/h
Ravi's maximum speed = y = 320 km/h
Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more than $ 16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?
Answers
Answer:
About 16 miles
The equation:
.75x+3.95
At 16 miles Katie will have spent $15.95.
Answer:
16 miles
Step-by-step explanation:
3.95 + .75m < 16
Subtract 3.95 from each side
3.95 -3.95+ .75m < 16-3.95
.75m < 12.05
Divide each side by .75
.75m/.75 < 12.05/.75
m <16.066666666
Rounding to the nearest mile
m < 16
Find the sum of 91.8+0.964+5.09 and correct your answer to one decimal place.
Answers
I used Socratic
Answer:
97.85
I hope this helps!
Factorize no g, h, j, k, m, n
Answers
answer =
=3a²-16ab+13b²
=3a²-(13+3)ab+13b²
=3a²-13ab-3ab+13b²
=a(3a-13b)-b(3a-b)
=(3a-13b)(a-b)
Answer:
even I got confused in question no. j
no worry rest all are solved .
all the questions are solved by middle term splitting method .
a shopkeeper sells a pant at 10% profit, if he would have sold it at rs.150 more than profit would have been 15% find the purchased price of the pant
Answers
Answer:
selling prices =10% 10+150+15%=180
ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
The following relationships usually have a direct or inverse relationship, please indicate.
Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.
Answers
Answer:
250S + 600L > 4000
240S + 700L > 5000
Step-by-step explanation:
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.
Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
Write an inequality that represents the condition based on the number of grams of pasta.
Write an inequality that represents the condition based on the number of milliliters of sauce.
Scenario 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S =the number of batches of spaghetti he makes
L =the number of batches of lasagna he makes.
We have, inequality based on the number of grams of pasta
250S + 600L > 4000
Scenario 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S= the number of batches of spaghetti he makes
L= the number of batches of lasagna he makes.
We have, inequality based on the number of milliliters of sauce
240S + 700L > 5000
The two inequalities are:
250S + 600L > 4000
240S + 700L > 5000
how many are 4 raised to 2 ???
Answers
Answer:
[tex]\huge \boxed{16}[/tex]
Step-by-step explanation:
4 raised to 2 is 4 squared or 4 to the power of 2.
[tex]4^2 =4 \times 4 = 16[/tex]
prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2
Answers
=(
2
1
)
2
+(
2
1
)
2
−1
2
=
2
−1
Therefore, L.H.S = R.H.S
Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer
Answers
Answer:
4 1/3
Step-by-step explanation:
3 + 5 + 4 + 3 + 5 + 6 = 26
26/6 = 4 2/6 (4 1/3)
Answer:
13/3
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of terms
( 3+5+4+3+5+6) /6
26/6
Divide top and bottom by 2 to simplify the fraction
13/3
help do y’all know this! Please if u do i need the answer
Answers
9.4 × [tex]10^{2}[/tex]
1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40
2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left
3) We know that the notation is a x [tex]10^{b}[/tex]
a=9.4 and 6=2
9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]
I hope I've helped!
Answer:
9.4x10^8
Step-by-step explanation:
940 million looks like
940,000,000. in scientific notation you would move the decimal left 8 spaces
The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?
Answers
Answer:
99 in²
Step-by-step explanation:
Perimeter = 2(length) + 2(width)
40 = 2(length) + 2(9)
40 = 2L + 18
40 - 18 = 2l
22 = 2l
L = 11
Area = length x width
Area = 9 x 11 = 99
99 square inches
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 360
Step-by-step explanation:
you multiply 40 and 9.
first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
2 QUESTIONS
Answers
Hi, Laura! ;)
The answer to the first question is 5,62.Here is the step by step solution:They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.
1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7
2) Divide the sum by the quantity of numbers, which is 6: 33,7 / 6 = 5,616
The closest number to 5,616 is 5,62.
==========================================================
Now let's answer your second question.
The correct answer is, indeed, 0,14.How do we get to this number? Here is the step by step solution:1) First step is to find out how many possible outcomes you have. It is the
number of raffle tickets in the box: 200.
2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.
The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.
Now, let's practice Probability with another Brainly problem:
https://brainly.com/question/16447117
Good luck, Laura! :)
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6? left 3 units, down 3 units right 3 units, down 3 units left 6 units, down 1 unit right 6 units, down 1 unit
Answers
Answer:
its not 1, its the second one (B)
Step-by-step explanation:
Answer:
I know I'm 1 year late but B is the correct answer choice. I just did it on edge 2021.
I'm just big brain.Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?
Answers
Answer:
sqrt(30)+sqrt(50) = 12.5482933869171364 which is between m and n 12 and 13
10
Complete the conversion. $2 per pound = $_ per ounce (round to the nearest hundredth)
Answers
Answer:
$2 per pound = $0.125. per pound
Step-by-step explanation:
The unit of weight conversion from pound to ounce is given as follows;
1 pound weight = 16 ounces weight
1 ounce weight = 1/16 pound weight
Therefore, whereby the cost of 1 pound weight of an item is two dollars, we have;
The cost of one ounce weight of the item will be the cost of 1 pound weight, divided by 16 and given as follows;
$2 per pound = $2/16 per pound = $0.125. per pound
Therefore;
$2 per pound = $0.125. per pound.
please help. pls show workings
Answers
Answer:
≈ 10.52 cm²
Step-by-step explanation:
The unshaded area is calculated as area of square subtract area of quarter circle, thus
A = 7² - [tex]\frac{1}{4}[/tex]πr²
= 49 - ( 0.25π × 7²)
= 49 - (0.25π × 49)
= 49 - 12.25π
≈ 10.52 cm² ( to 2 dec. places )
Answer:10.5cm^2
Step-by-step explanation:
Area of the square = L^2 =(7) ^2=49cm^2
Radius of quadrant = 7cm
Area of the quadrant =1/4 x πr^2
1/4 x 22/7 x (7) ^2
1/4 x 22/7 x 49
=38.5cm^2
Area of unshaded part= area of square - area of quadrant
49cm^2 - 38.5cm^2
=10.5cm ^2
Which of the following best represents the average rate at which the human hair grows (1 point)
a
0.25 inches per second
b
0.25 meters per hour
с
0.25 meter per month
d
0.25 inches per month
Answers
Answer:
D.0.25 inches per months
Step-by-step explanation:
The average rate or speed of human hair growth is about 0.25inches per month.
3 times the sum of a number and 4 is 20
Answers
Answer:
as per the statement we form an algebraic equation as
3(x+4) = 20
3x + 12 = 20
3x = 8
x = 8/3
as per my understanding that's the answer
Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?
Answers
Answer:
the new surface Will be 1/4 pf the old surface
Step-by-step explanation:
because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.
so 294:4 Is 73.5
excuse me for my bad English but I'm italian
Find the value of w in the equation 3w + 15 = 60? Show
your work
. Based on your value of w, what is the value of the expression
below?
8w2 + 8w + 9
PLZ HELPPPP you’ll get all of my points ❤️
Answers
8(15)2+8(15)+9=369
Answer:
Part 1: Find w
w=15
Step-by-step explanation:
Part 1: Find w
Step 1:
3w+15=60. If this is true, then first: Subtract 15 from both sides.
Result: 3w=45
Step 2:
3w=45. If this is true, now: Divide by 3 to both sides.
Result/Answer: w=15.
Answer:
Part 2: If w=15, then what is 8w2+8w+9?
8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.
Pens cost 15 pence each. Rulers cost 20 pence each. Write down an expression for the cost of x pens and x rulers.
Answers
Answer:
C = 35x pence
Step-by-step explanation:
1 pen costs 15 , thus x will cost 15x
1 ruler costs 20, thus x will cost 20x
Total cost (C) will then be
C = 15x + 20x = 35x pence
The total cost of pens and rulers, C = 35x pence
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost 1 pens is 15.
Then, cost for x pen is 15x
Cost of 1 ruler is 20
Then, cost of x ruler is 20x
So, the total cost is
= 15x + 20x
= 35x
Learn more about Equation here:
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Write your answer as a polynomial or a rational fraction in simplest form
Answers
Answer:
- 4x^2-15x
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x
Helpppoplplllllpppllppppppppplpppppppppp
Answers
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 17/29
x = arctan(17/29)
x = 30.379 which is approximate
x = 30
Side note: arctan is the same as inverse tangent [tex]\tan^{-1}[/tex]
Which ordered pair would fall in the first quadrant of the coordinate plane?
A) (3, 10)
B) (0, 0)
C) (0, 10)
D) (3, 0)
Answers
Answer: A (3,10)
Source : i made it up
HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Select one: a. Points: A, B Line segments: bar(AB) b. Points: A, B, C, D Line segments: bar(AB) c. Points: A, B, C, D Line segments: bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC) d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)
Answers
Answer:
the answer is D
6x^2+12x=5x-2
solve the quadratic by factoring
Answers
[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]