![Help Me On This!! [tex] \: \: \: [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/IUWbOGQBz32aN8OXyYqrRVnZny3AbNZH.jpeg)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution~
Standard equation of a circle is represented as :
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of center k = y - coordinate of centerradius = diameter/2 = [tex]4\sqrt{3}[/tex]Now, let's plug in the values to find the required equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]
The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0
[tex]\quad\rule{300pt}{1pt}\quad [/tex]
Solution:The standard equation of Circle is given by :
[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]
This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation
Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.
[tex] \longrightarrow[/tex]h = 8
[tex] \longrightarrow[/tex] k = - 10
[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]
[tex] \longrightarrow[/tex] r = [tex] \sf 4\sqrt{3}[/tex]
[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]
On putting the values in the formula :
[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]
[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]
[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]
[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]
[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]
[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]
ㅤㅤㅤㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0
Related Questions
Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g.
Answers
Domain:-
For any real x function is not undefined .
Domain belongs to RCodomain belongs to R+
Range:-
x² always ≥0Hence
range=[1,oo)ARGENTTTT!!!!
Which statement describes the difference in the distance
travelled by the two cars when 15 gallons of gasoline is used?
Both cars will have travelled the same distance.
Answers
Answer:
D. A travels 90 miles more
Step-by-step explanation:
The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)
The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.
__
Already on 5 gallons of gas, Car A has traveled 30 miles farther. The only sensible answer choice is ...
D. Car A travelled 90 miles more than Car B [when 15 gallons are used].
Your aunt sells magazine subscriptions by telephone. If each call she makes takes about 1/16 of an hour, how many calls can she make in 1/8 hours?
Answers
Answer:
2 calls
Step-by-step explanation:
1/16x=1/8
X=2
I need help please I am good at read not math so please help I don't get it ):
Answers
Answer: 782
Step-by-step explanation
It says it made a w
Answer:
Part A: Andy is incorrect
Part B: 3/20
Step-by-step explanation:
Part A: Since Andy:
Actions dvds = 3/5
Comedy dvds = 1/4
or = Add
3/5 + 1/4
12 + 5 /20 = 17/20
Thus, it doesn't equal to 4/9.
Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20. Adding these together would be 17/20, making 3/20 of them NOT action or comedy. 17/20 + 3/20 = 20/20 or the total.
Therefore, 3/20 of them Not action or comedy.
~lenvy~
Read the sentence.
When my cousin Jason suddenly showed up out of the blue, it was an unexpected surprise because we had no idea that he was coming to the special event that our family had planned ahead of time.
Which revision most effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box.
Answers
The first sentence is correct.
Answer: We were surprised when my cousin jason attended our family reunion.
Step-by-step explanation: I took the k12 quiz and got it right.
1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B
Answers
Answer:
She would have two leftover slices
Step-by-step explanation:
Answer:
She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.
Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years
Answers
Answer:
changing the currency $ to #
$1000 = #415,640.00
i=prt (formular)
given:
I =?
p = $1000 or #415,640.00
r = 6%
t = 2 years
i= 415,640.00×6×2÷100
i= #49876.8
without changing currency
i= 1000×6×2÷100
i=120
solve for x ~
[tex]81x - 27x = 9[/tex]
thankyou ~
Answers
Listen ducky: 81x-27x=9
54x=9
X=1
---
6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]
[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]
[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]
[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]
How many congruent faces does the shape below have?
A.
0
B.
1
C.
2
D.
3
Answers
Answer:
C. 2
Step-by-step explanation:
It has only 2 congruent faces- bases
Answer: the answer is c which is 2 , 2 faces
Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .
Susan gave 1/6 of a pizza to her brother. She gave 1/3 of what was left to
her mother. Susan ate the rest herself. What fraction of the pizza did Susan
eat?
°1/2
°1/9
°1/18
°5/9
Answers
Answer:1/2
Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.
Find the product of 0.000879 and 1.028
Answers
Answer:
0.008791747
Step-by-step explanation:
0.000879
x 1.028
-------------------
0167
01580
000000
08790000
---------------------
8791747
0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.
Final answer: 0.008791747
I hope this helps!
Select the correct answer.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled
by the water in the picture on the flyers?
5 in
4 in
3 in
12 in
8 in
О А.
about 48 in?
B. about 66 in?
Oc about 32 in?
OD. about 80 in?
Answers
Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
What is the Area of a Trapezium?Area of trapezium = 1/2(a + b)h.
The following are dimensions of the area of the trapezium filled with water:
Level of water (a) = median of the bigger trapezium = (3 + 8)/2 = 5.5 = 6 in.b = 8 in.Height ≈ 12/2 = 6 in.Area = 1/2(6 + 8) × 6 = 42 in.²
Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
Learn more about area of trapezium on:
https://brainly.com/question/16904048
Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?
Answers
A proportion is a mathematical comparison between two ratios.
A ratio is a comparison between two numbers.
For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:
[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]To write a proportion from this information, we can compare the ratios by makign them equal to each other:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]Solving the QuestionWe're given:
$118 per week$472 per 4 weeksThese are proportional$118 per week is one ratio:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]$472 per 4 weeks is another ratio:
[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]Now, set them equal to each other to create a proportion:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]Answer:Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].
MIlo receives a commission of 8% on all sales. If his commission on a sale was $114.80, find the cost of the item sold.
Answers
Answer:
if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.
since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435
HELP ASAP FIRST GET BRAINIEST
!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
just imagine that they are folding and what they would fold into.
this kind of question is a memory test.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.
Answers
Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, which is also called the slope.
Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:
k = 50/2 = 25.
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
More can be learned about proportional relationships at https://brainly.com/question/10424180
calculate the exact value of cos (a+b) given that cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π
Answers
The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]
The exact value of cos (a+b) has to be find out. It is given that,
[tex]\cos a= \dfrac{3}{5}[/tex]
The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,
[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]
Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,
[tex]\sin b = -\dfrac{8}{17}[/tex]
The value of b is lies between 3π / 2 <b < 2 π. The value of the other side of the triangle using the Pythagoras theorem,
[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]
Thus, the value of cos b is, 15/17. Put the values in above formula,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]
Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
Learn more about the triangle angle sum theorem here;
https://brainly.com/question/7696843
#SPJ1
I don’t get 2 and 3 I really need help
Answers
Answer:
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral sum to 180 so
m < x = 180-105 = 75 degrees
m < y = 180 - 95 = 85 degrees.
Please help! First answer correct BRAINLIEST
Answers
Answer:
8 in
Step-by-step explanation:
Area=(1/2)*(p1+p2)*d
X - 8 = 1 what does X equal to?
Answers
Answer:
9
Step-by-step explanation:
To answer this we add 8 to both sides:
x-8+8 = 1+8
x = 9
This is our answer
Given:-
X - 8 = 1To find :-
The value of xSolution :-
X - 8 = 1
Transferring 8 to Right sideX = 1 + 8 ( signs change when transferred to opposite side )
X = 9
Need Help Confused give explanation please and thanks
Answers
Plss help find the area of a composite figure
And show work bc
Answers
Answer:
193.4 meters squared
Step-by-step explanation:
Area of rectangle = 7 X 15 = 105
Area of semi circle = 1/2 X π X R^2
R = 7.5
R squared = 56.25
π = 3.1415932654........
1/2 X 3.1415.... X 7.5^ 2 = 88.35729338
Rounded to one decimal place = 88.4
105 + 88.4 = 193.4m^2
In a circle, a central angle of 2 radians intercepts an arc of 6 centimeters.
Find the length of the radius in centimeters.
Answers
Answer:
3 cm
Step-by-step explanation:
To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).
From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:
6 = r · 2
Solving the equation gives us r = 3 cm. Hope this helps!
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years
Answers
The total amount which Todd will have after 4 years is $1,178
The total amount which Alexis will have after 4 years is $1,184
1050 + 32(4)=
1050 + 128
= $1,178.
For Alexis
(P x T x R)/100
(1050 x 4 x 3.2)/100
=13400/100
=$134 interest after 4 years.
Therefore, 1050 + 134
=$1,184.
The expression i10 is equivalent to
Answers
Answer: -1
Step-by-step explanation:
the height h of a projectile at any time t after launch is defined by the function h(t) =5t^2+13t + 6
Answers
Answer:
The equation sets the parabola. You can find the parabola vertex as:
then
This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.
The projectile initially launched at time t=0, so the initial height is h(0)=2 m
Step-by-step explanation:
A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?
Answers
Answer:
12.0
Step-by-step explanation:
we solve using the pythagorean theorem.
sqrt of (12.5^2 - 3.5^2)
answer is 12
rounded of to the nearest tenth is 12.0
From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
Answers
Check the picture below.
Andrea made her aunt a garden. The width is 8 3/7 ft and the length is 7 2/3 ft. What is the area of the garden?
NOTE: We are finding the area in the problem
Answers
Answer:
I think the area is 513/21
Oscar enjoys many different sports. Today, Oscar jogged for 6 minutes, rode his bike for 23 minutes, and played tennis for 49 minutes.
How much time did Oscar spend playing sports today?
Answers
Answer: 78
Step-by-step explanation:
just add the time all together then this will be your answer.