The general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41
How to determine the general form of the equation for the given circle centered at O(0, 0)?The given parameters are
Center = (0, 0)
Point = (4, 5)
Rewrite the given parameters are
(a, b)= (0, 0)
(x, y) = (4, 5)
The general form of the equation for the given circle is represented as:
(x - a)^2 + (y - b)^2 = r^2
Substitute the known values in the above equation to calculate the radius r
(4 - 0)^2 + (5 - 0)^2 = r^2
Evaluate the difference
4^2 + 5^2 = r^2
Evaluate the exponent
16 + 25 = r^2
Evaluate the sum
41= r^2
Rewrite as
r^2 = 41
Substitute r^2 = 41 in (x - a)^2 + (y - b)^2 = r^2
(x - a)^2 + (y - b)^2 = 41
Substitute (a, b)= (0, 0) in (x - a)^2 + (y - b)^2 = 41
(x - 0)^2 + (y - 0)^2 = 41
Evaluate the difference
x^2 + y^2 = 41
Hence, the general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41
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Find the circumference for the circle below. Round your answer to the nearest
tenth
radius = 17
in 10 years time a father Will be twice as old as his daughter.10 years ago he was six time as old as his daughter.How old is each now
Answer:
Step-by-step explanation:
let fathers age now be x
daughters age now be y
10 years hence
(x+10)= 2(y+10)
x+10 = 2y+20
x-2y=10
10 years ago
(x-10)= 6(y-10)
x-10 = 6y-60
x-6y=-50
x-2y=10
x-6y=-50
subtract the equations
4y=60
y=15 daughter's age now
substitute y in x-2y=10
so x=40 present father's age
pls mark brainliest
Answer:
Let the age 10 years ago of daughter be ( x years ) and age of father would be ( 6x years )
After 10 years, age of father = ( 6x + 10 + 10 )
= ( 6x + 20 ) years
And Age of daughter will be = ( x + 10 + 10 )
= ( x + 20 ) years
ATQ,
6x + 20 = 2( x + 20 )
=> 6x + 20 = 2x + 40
=> 6x - 2x = 40 - 20
=> 4x = 20
=> x = 5
Hence, Present age of daughter = ( x + 10 )
= ( 5 + 10 )
= 15 years
Present age of father = ( 6x + 10 )
= 6( 5 ) + 10
= 30 + 10
= 40 years
Step-by-step explanation:
your answer Miss.
2x-y+8z=13
3x+4y+52=18
5x-2y-72=20
Answer:
Answer is above (In the image).
Step-by-step explanation:
I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.
In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!
2x-y+8z=13 1️⃣
3x+4y+52=182️⃣
5x-2y-72=203️⃣
We first combine liked terms in equation 2 and 3.
2️⃣turns into 3x+4y=-34 let's call it 2️⃣'
3️⃣turns into 5x-2y=92 let's call it 3️⃣'
Then solve for x
3️⃣'*2
10x-4y=184
3️⃣+2️⃣
13x=150
x=150/13
Now substitute the x back into equation 2️⃣'
3*150/13+4y=-34
450/13+4y=-442/13
4y=-892/13
2y=-446/13
y=-223/13
Now we can substitute this back into 1️⃣ to solve for z
2*150/13- - 223/13+8z=169/13
523/13+8z=169/13
8z=-354/13
4z=-177/13
z=-177/52
This problem is kind of messy so let me restate my answer!
x=150/13
y=-223/13
z=-177/52
I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!
A bakery used 35% more sugar this month than last month. If the
bakery used 360 kilograms of sugar last month, how much did it use this
month?
Answer:
486 kg
Step-by-step explanation:
(Calculator)
360 + 35%
=486
I hope it is correct
What is the fifth term in the expansion of (3x - 3y)??
X²4A
Answer:
4
Step-by-step explanation:
A sales representative for a hardware company receives $8,000 per year plus a 6% commission on total sales. During one year the sales representative's sales totaled $320,000. Find the representatives total earnings for this year
Answer:p5
65=8poi
Step-by-step explanation:
Solve equation 3 + p = 8
Answer:
The answer is 5
Step-by-step explanation:
You can do inverse operation which is Subtraction.
8-3 = 5
Answer:
5
Step-by-step explanation:
if its not that i have no idea what to say
I am very behind in edge, is anyone willing to help me?
Answer:
Whats the question?
Answer:
Yeeeee
Step-by-step explanation:
I am trying to find the measure of angle KRD angle KRD: 5r+42 angle: DRB: 4r+66 I don't really understand this
Based off what you have I can't solve it
TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS
Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.
Answer:
FOR YOU LOVE
Step-by-step explanation:
If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.
THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT
PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE
Sushil rolls a fair dice 138 times.
How many times would Sushil expect to roll an even number?
Answer:
69?
Step-by-step explanation:
Write an addition, subtraction, multiplication, and division problem that all equal -3.
Answer:
-5+2
3-6
3 x -1
-6 divided by 2
40 is what % of a
Plz help
Answer:
Step-by-step explanation: To calculate the percentage, multiply this fraction by 100 and add a percent sign. 100 * numerator / denominator = percentage . In our example it's 100 * 2/5 = 100 * 0.4 = 40 .
WILL MARK YOU BRAINLIEST ANSWER WHAT YOU CAN PLS
Answer:
1.
T mBAC = mB'A'C'
F 2mABC = mA'B'C'
F BC = 2B'C'
T 2XA = XA'
2
D'(-2/3; -1)
E'(-1;1)
F'(1;1)
G'(1;-1)
3
the centre is L(0;-2)
the scale factor is 4
length J'K' = 4JK
the measure of L is equal the measure of L'
the table:
K(4;2) 4 4 16 16 0+16 -2+16 K'(16;14)
(3)
23
-1
2
0
d
2
e
4.
f
d =
e-
f=
Answer:
Step-by-step explanation:
this is the formula using a calculator hit 2nd then x^2 and the number you want then enterEnter an equation in the form y = mx + b that represents the function
Answer: no answer c
Step-by-step explanation:
Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for TT.)
radius: 5 cm
height: 0.25 m
volume =
cm
Answer:
volume is πr^h
Step-by-step explanation:
3.14*5*5*0.25 is 1962.5cm^2
in m^2 it would be 19.625
Select the Equivalent Expression. 3 negative 5 =? I cant find the negative sign on here lol.
Answer:
Step-by-step explanation:
do you mean 3-5=-2 ?
Answer:
3+,-5 =-2
Step-by-step explanation: you mean this if you do your welcome
can someone help me pls 10 points
Answer:
They added +3x instead of subtracting it in the first step.
Step-by-step explanation:
Instead:
5x + 2 = 3x - 8
-3x -3x
----------------------
2x + 2 = -8
-2 -2
-----------------
2x = -10
/ 2 / 2
-----------
1x = -5
---------
x = -5
What is the quotient of 9−x^2 divided by 3x and x^2+6x+9 divided by 3x?
Answer:
44 rem
Step-by-step explanation:
Sorry i dont have an explanation
20% of what number is 479
168
0 235
O230
094
Answer:
168 hope this is right
Step-by-step explanation:
What is the value of the number? -(-6)?
Answer:
6
Step-by-step explanation:
-(-6)=6
1-tan theta/1+tan theta = cos theta - sin theta/cos theta + sin theta
Answer:
The answer is given in the pic Hope it will help :)
Please find attached herewith the solution of your question.
Hope it helps
Please answer this question now. Giving brainliest to anyone who answers
The cost of 7 scarves is $85.75. What is the unit price
Answer:
The cost of 1 scarf is $12.25 each.
Step-by-step explanation:
Please help!
Given A= [2 -7 6 1] and B= [-9 5 1 -1]
IT X-A=B, what is X?
Answer:
Option A, Or Option 1
Step-by-step explanation:
-7 -2
7 0
A person walks 1/3 of a mile every half hour. How far
would the person walk in 2
hours?
Answer:
1 1/3 miles
Step-by-step explanation:
1/3 is for a half-mile, so double it to 2/3 for one mile.
Now double it again for two hours.
2/3 + 2/3 = 1 1/3 miles in two hours
Answer:
The person will walk 1 1/3 miles in 2 hours.
Step-by-step explanation:
There are 4 half-hours in 2 hour
1/3*4=4/3 or 1 1/3 miles
You deposit $300 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 8 years?
The interest earned is $? after 8 years.
b. What is the balance after 8 years?
The balance is $?
after 8 years.
Answer:
Step-by-step explanation:
The interest after 8 years is $240
The balance after 8 years is $540
Hope this helps!
Plz, Mark Brainliest!
The interest after 8 years is $240 and the balance after 8 years is $540.
What is Simple interest?Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.
Given that, You deposit $300 in a savings account. The account earns 10% simple interest per year.
SI = P*R*T/10
Where P = principal
R = rate
T = time
a) The interest earned after 8 years:-
SI = 300*10*8/100 = $240
b) The balance after 8 years:-
Amount = 300+240 = $540
Hence, The interest after 8 years is $240 and the balance after 8 years is $540.
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Please help I’ve been on for 1/2 hours
1/2a-4 * = times
1/2*(a-8)
3 A pair of vertical angles is formed as shown.
175°
(5x + 30)
Which best represents the value of ?
A 29
B 1
C31
D41
Answer:
A - 29
Step-by-step explanation:
5x + 30 = 175
5x +30 -30 = 175 - 30
5x = 145
5x ÷ 5 = 145 ÷ 5
X = 29