determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3
Answers
Given:
The center of the circle is at (0,0).
The circle passes through the point A(4,-3).
To find:
The radius and the equation of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points (0,0) and (4,-3).
[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]
[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
So, the radius of the circle is 5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is center of circle and r is the radius.
Putting h=0, k=0, r=5, we get
[tex](x-0)^2+(y-0)^2=5^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].
Related Questions
how many cats can fit in one box?
Answers
Answer:
depends on how big the box and cats are
Step-by-step explanation:
what is the ratios to 25:90
Answers
Answer:
5/18Step-by-step explanation:
25 / 90 =5*5 / 5*18 =5/18John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Answers
Answer:
The cirumference would be 78.5.
24*pi would equal 75.5398163397 so just round that.
Hope this helped
what is the value of x ?
Answers
Answer:
97 degrees
Step-by-step explanation:
360 degrees is our total. so:
306 - 60 - 30 - 72 - 46 - 55 = x
x = 97
please help me its my plato grade
Answers
Answer:
C)
Step-by-step explanation:
because the graph has been translated 5 units to the left and one unit down, and C matches the requirements
Someone help please hurry and make sure is right :)
Answers
Answer:
Corresponding
Step-by-step explanation:
x and y are corresponding angles.
Which is an equivalent expression written using Distributive property: 3 (m + 3)
Answers
Answer:
3m + 9
Step-by-step explanation:
the diameter of a circle is 14m. find the circumference to the nearest tenth
Answers
Answer:
44
Step By Step Explanation:
Formula for circumference - 2πr
1. Find raduis: 14/2=7 - Radius=7
2. Plugin number and solve - 2π(7)=43.9822971503
3. Round 43.9822971503 to 44.
What’s equivalent to 5(2x+6)
Answers
Answer:
5(6+2x)
Step-by-step explanation:
PLEASE HELP!! 50 POINTS!
Answer the question in the picture.
Answers
Answer:
1.9
2.16
3.225
4.196
5.25
6.256
I answered again since they deleted mine
1.9
2.16
3.225
4.196
5.25
6.256
hope it helps
Can someone help me with this geometry question ASAP ty
Answers
Answer:
angle S 100 option C
Step-by-step explanation:
P and S are consecutive angles
Interior angles of a parallelogram
1. Opposite angles are congruent
2. Consecutive angles are supplementary (They add to 180 )
(2x+20) + (3x+10) = 180
5x+30 = 180
5x = 150
x= 30
angle S 3x30 +10 =
90 +10 = 100
The other angle P 2x30 +20 = 60 +20 = 80
100 +80 = 180
A principal of $3400 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer:
4287.94
Step-by-step explanation:
the equation would be 3400(1+4.75)^5 which equals to 4287.94
Which expression is equivalent to 6(5x + 4) - 6x ?
a. 24x + 24
b. 48x
C. 30x + 24
d. 5x + 10
Answers
Answer:
a. 24x + 24
Step-by-step explanation:
Given
6(5x + 4) - 6x
= 30x + 24 - 6x
= 24x + 24
Hope it will help :)❤
William is planning to cover one side of the roof of his barn with solar panels.
The part of the roof he plans to cover is 12 feet by 30 feet, and each solar panel is
encased in a frame that is 16 inches by 20 inches. What is the minimum number
of solar panels that William will need to purchase to completely cover this part
of his roof?
I
Answers
Answer:
5 i think
Step-by-step explanation:
to start you need to find the total area the side of the roof he plans to cover which is 360 feet.
16x2 + 20x2 = 72
so lets just say thats the total area of one solar panel then you could just divide 360 feet by 72 feet to get...
5. so i guess william needs 5 solar panels
i could be spouting nonsense rn.. so sorry if im wrong
3 (t + 4) = 25.5
t= ??
Answers
Answer:
t = 4.5
Step-by-step explanation:
Distribute 3 to the parentheses:
3(t + 4) = 25.5
3t + 12 = 25.5
Subtract 12 from both sides:
3t = 13.5
t = 4.5
So, the answer is t = 4.5
please could u help me with this?
Answers
Whats the perimeter?
Answers
Answer: The perimeter is 40.1
Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1
Hope this helps and have a nice day
Answer:
The perimeter is 40.1
Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1
Hope this helps and have a nice day
Step-by-step explanation:
Please give me the correct answer.
Answers
Answer:
The rate of change is 2 euros.
Step-by-step explanation:
You can see on the graph the cost goes up 2 euros each hour. Hope this helps!
16-14 =2
Then same things for every other number/ratio
Rate of change = 2
uh help hereeeee pls.
Answers
Answer:
d.PS
Step-by-step explanation:
option D,line PS is opposite
I need help on this question.
Answers
Charlie Fox's Pizza has a coupon for 30% off an extra large pizza. If the pizza you want
regularly costs $28, how much would the sale price be?
Answers
Answer:
8.4
Step-by-step explanation:
Move the decimal point to create $2.8, which is 10% of $28. Once you have the 10% ($2.8) multiply it by 3 to get 30%.
okay heres the photo
Answers
Hope it helped
what is this ????????????????
Answers
Answer:
(2-3)
Step-by-step explanation:
In ARST, r = 52 cm, s = 55 cm and ZT=48°. Find the length of t, to the nearest
centimeter.
Answers
9514 1404 393
Answer:
44 cm
Step-by-step explanation:
The law of cosines is applicable.
t^2 = r^2 + s^2 -2rs·cos(T)
t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57
t ≈ √1901.57 ≈ 43.607
The length of t is about 44 cm.
Hey there!
[tex]\dagger \: \sf\red{Question:}[/tex]In ARST, r = 52cm, s = 55cm and ZT = 48°. Find the length of T, to the nearest centimeter. [tex]\dagger \: \sf\blue{Solution:}[/tex]By the law of cosines,
[tex]{\underline{\boxed{\frak{\pmb{\quad {t}^{2} = {r}^{2} + {s}^{2} - 2rs \times cos(T) }}}}} [/tex][tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)
[tex]\implies\tt[/tex] t² ≈ 1901.57
[tex]\implies\tt[/tex] t² = √1901.57
[tex]\implies\tt[/tex] t² = 43.607
[tex]\implies\tt[/tex]t = 44 cmTherefore;
The length of t is 44 cm.Decide whether each expression simplifies to a number less than -1 or greater than 1.
Less than -1
Greater than 1
Neither
(-10) divided by 6
-(5 divided by 2)
-3 divided by (-4)
-2• [- 7/2]
8/3•[-3:5]
Answers
Answer:
Step-by-step explanation:
(-10) ÷ 6 = [tex]\frac{-10}{6}=\frac{-5}{3}=-1\frac{2}{3}[/tex] less than -1
-(5÷2) =[tex]-\frac{5}{2}=-2\frac{1}{2}[/tex] less than (-1)
(-3÷ (-4) = [tex]\frac{-3}{-4}=\frac{3}{4}[/tex] Neither
(-2)* [-7/2] = [tex](-2)* \frac{-7}{2}=(-1)*(-7)=7[/tex] Neither
(8/3)*(-3/5)=[tex]\frac{8}{3}*\frac{-3}{5}=\frac{-8}{5}=-1\frac{3}{5}[/tex] less than (-1)
Express 150 as:
a) A fraction of 350.
b) A percentage of 600.
Answers
Answer:
a)3/7
b)25%
Step-by-step explanation:
What is the value of x in the equation 0.03x − 1.2 = 0.24?
Answers
Answer:
x = 48
Step-by-step explanation:
solved it just now-
how do i solve this question 2+3=8-4 ?
Answers
Answer:
5=4
Step-by-step explanation:
just add then subtract
find the size of angle x.
Answers
- 124
And you will get your answer. I hope this helps.
2.08/4
i also need a explanation on it
Answers
Answer:
0.52
Step-by-step explanation:
First, I would do 2 divided by 4 is 0.5. Then I would do 0.08 divided by 4 and get 0.02. Finally, I would add 0.5 and 0.02 and get 0.52.