Answers
Answer:
(x-9)^2 + (y-9)^2 = 81
Step-by-step explanation:
Step-by-step explanation:Equation of a circle
( x - h )^2 + ( y - k )^2 = r^2
Your graph - the circle intersects the x-axis at (9 , -9)
- the circle intersects the y-axis at (9 , -9)
h = the number on the x axis intersected by the circle.
k = the number on the y axis intersected by the circle.
r = radius of the circle measured starting from the origin.
plug these in:
( x - h )^2 + ( y - k )^2 = r^2.
(x - 9)^2 + (y - 9)^2 = 9^2
(x-9)^2 + (y-9)^2 = 81
We are given with a circle and we need to find the equation of the circle , but first let's recall that , the equation of a circle with radius 'r' and centre at (h,k) is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex]
Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here (h,k) = (0,0) .Which means that the centre is located at the point whose coordinates are (0,0) which is also known as origin . Now , finding the equation of the circle :-
[tex]{:\implies \quad \sf (x-0)^{2}+(y-0)^{2}=(9)^{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x^{2}+y^{2}=81}}}[/tex]
This is the required equation of Circle
Related Questions
pls answer i will fail:-}
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answers
Answer:
Graphic Representation of the Equations is in the image above
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 4x - 5
// Plug this in for variable y in equation [1]
[1] (4x-5) - 2x = -1
[1] 2x = 4
// Solve equation [1] for the variable x
[1] 2x = 4
[1] x = 2
// By now we know this much :
y = 4x-5
x = 2
// Use the x value to solve for y
y = 4(2)-5 = 3
Solution :
{y,x} = {3,2}
y=2x-1
Slope=2y intercept=-1y=4x-5
Slope=4y inetrcept=-5Now graph both equations
Solution set:-
(2,3)Felipe, an artist, plans to paint and sell some miniature paintings. He just bought some brushes for $11,
and paint and canvas for each painting costs $86; he will sell each painting for $87. Once Felipe sells a
certain number of his paintings, he will be breaking even. How much will Felipe have earned? How many
paintings will that be?
Answers
Answer:
11.
Step-by-step explanation:
He earns $1 more every Canvas he sells. 11 Canvases will cancel out the brushes.
Find the CI, if Rs 5000 was invested for 2 years at 10% p.a. compounded half-yearly?
Best answers needed
Quickly! pls!
Don't Spam
Answers
Answer:
Given:
A sum of Rs 5000 was invested for 2 years at 10% p.a. compounded half - yearly.To Find:
The compound Interest.Solution:
★ Firstly, we have to find the amount:
According, to the question by using the formula, we get:
[tex] \longmapsto \: { \bold{ \boxed{\pink{ \rm{A \: = P \left( 1 + \frac{ \frac{r}{2} }{100} \right)^{2n} }}}}}[/tex]
Here,
Amount (A) = A Principal (P) = Rs 5000 Rate of Interest (r) = 10% p.a Time Period (n) = 2 yearsSo by putting their values, we get:
[tex] { \large{\longrightarrow{ \rm{A = 5000 \left( 1 + \frac{ \frac{10}{2} }{100} \right)^{2 \times 2} }}}}[/tex]
[tex] { \large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10}{2} \times \frac{1}{100} \right)^{4} }}}}[/tex]
[tex] {\large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10 \times 1}{2 \times 100} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left(1 + \frac{10}{200} \right)^{4} }}}}[/tex]
[tex]{ \large \longrightarrow {\rm{A =5000 \left( \frac{200 \times 1 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large \longrightarrow{ \rm{A = 5000 \left( \frac{200 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210 \times 210 \times 210 \times 210}{200 \times 200 \times 200 \times 200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{1944810000}{1600000000} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{1944810000}{1600000000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{194481}{160000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5 \times \frac{194481}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = \frac{972405}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 6077.53 \: (approx.)}}}}[/tex]
Hence, the amount is Rs 6078.
★ Now, we have to find the compound Interest:
According, to the question by using the formula, we get:
[tex]{ \large{ \dashrightarrow{ \boxed{\green{ \rm{Compound \: Interest = A \: - \: P}}}}}}[/tex]
Here,
Amount (A) = Rs 6078 Principal (P) = Rs 5000So, by putting their values we get:-
[tex] { \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 6078 \: - \: Rs \: 5000}}}}[/tex]
[tex]{ \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 1078}}}}[/tex]
Hence, Compound Interest is Rs 1078.
Solve for r. -49 = -7r
Answers
can someone do this for me?
Answers
Answer:
20% - 12.5% - 60% - 50% - 78.6% - 57.1% - 92.1% - 83.3% - 90.9% - 80% - 5%.
Step-by-step explanation:
PLEASE HELP I NEED TO PASS MATH!
Answers
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters. what is the perimeter
Answers
Answer:
34 m
Step-by-step explanation:
So you know one side of the garden is 9 meters long and you know that the area is 72 square meters. To find out the length of the other side you would divide 72 by 9 which gives you 8. tithe you add 8 and 9 together twice or 16 and 18. The end result is 34 m.
Hope this helped!
The volume of this rectangular prism is 112 cubic centimeters. What is the value of y?
Answers
Answer:
y=8
Step-by-step explanation:
1. 112=7*2*y
2. (112)/14=(14*y)/14 (Divide both sides by 14)
3. 8=y
1. Multiply. (x^2-3x+4)(-2x^2+4x-1) Express your answer in standard form.
Answers
Hi,
Your answer would be: −2x4+10x3−21x2+19x−4
Hope I could help!~ have a good day/night :]
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
24.8
Step-by-step explanation:
x = √(16)^2+(19)^2= 24.8
(PLS HELP ASAP)
The vertices of a trapezoid are shown below.
(0, 6), (6, 12), (6, 9), (0, 12)
Which of the following points is a verse for the image produced by a dilation about the origin with a scale factor of 1/2?
A. (2, 8) B. (3, 3) C. (3, 6) D. (12, 24)
Answers
Answer: C
Step-by-step explanation:
Cleatus pulled into the neighborhood gas station to fill his car with gas. The 91-octane gas is selling for $2.12 per gallon. He decided to get his car washed for an extra $6.00. What is the total amount of his purchase if he bought 10 gallons of gas?
Answers
Answer:
$26.20
Step-by-step explanation:
first you multiple 2.12 by 10 then you add 6 to get your answer. (2.12×10)+6 (21.2)+6=26.2
Classify Angle 1 & Angle 2 by choosing the correct term from the choices below.
vertical
straight
complementary
adjacent
Answers
Answer:
vertical
Step-by-step explanation:
did the test
What is the area of this trapezoid
Answers
The total is=50.1
Hello, can you show me how to solve this problem x^4+8x-9?
Answers
Answer: If you are looking to factor, then the answer would be (x-1)(x^3+x^2+x+9)
Step-by-step explanation: You can use the rational root theorem which we can express (x-1)x^4+8x-9/x-1 and this can be simplified to (x-1)(x^3+x^2+x+9)
(x^2)^2+2*x^2*4+16-16-9
(x^2+4)^2-25
(x^2+4)-5^2
(x^2+4-5) (x^2+4+5)
Sophie's math teacher plots student grades on their weekly quizzes against the
number of hours they say they study on the pair of coordinate axes and then draws
the line of best fit. Based on the line of best fit, what quiz score should someone who
studied 5 hours expect?
Answers
=====================================================
Explanation:
The line of best fit here is y = 6x+62
m = 6 = slopeb = 62 = y interceptWe started at (0,62) and go up 6 units and to the right 1 unit each time we move along this line.
If we tried something like x = 1, then,
y = 6x+62
y = 6*1+62
y = 6+62
y = 68
Meaning that someone spending 1 hour per week doing homework would lead to an estimated score of 68. This matches what the graph shows, and it helps confirm we have the correct regression line equation.
Let's now plug in x = 5
y = 6x+62
y = 6*5+62
y = 30+62
y = 92
Someone doing 5 hours of homework per week is estimated to get a score of about 92.
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
Which statement comparing the modes to the ranges is true?
The modes differ by 40 and the ranges differ by 40.
The modes differ by 20 and the ranges differ by 20.
The modes differ by 40, but the ranges differ by 20.
The modes differ by 20, but the ranges differ by 40.
Answers
Answer:The correct statement comparing modes to ranges is ''The modes differ by 40 and the range differs by 40'' is true.
Step-by-step explanation:The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer,
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
We have to determine,
Which statement comparing the modes to the ranges is true.
According to the question,
The mode of a data set is the value that occurs most often.
The data from last summer,
The value 190 is in the list twice, while all other values are only in once. This means 190 is the mode.
The data from this summer,
The value 150 is in the list twice, while all other values are only in once. This means 150 is the mode.
The difference in modes is 190 - 150 = 40.
The range is the difference between the maximum and minimum values in a data set.
The maximum value is 220 and the minimum value is 140,
Then,
Range = 220 - 140 = 80
The range for this summer's data,
The maximum is 190 and the minimum is 150;
Then,
Range = 190 - 150 = 40 for the range.
Therefore,
The difference in ranges is 80 - 40 = 40.
Hence, The modes differ by 40 and the range differs by 40
Answer:
A
Step-by-step explanation:
Took the quiz on edge2022.
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply. 4A B 8A B 2A B 1. 5B 12A.
Answers
The expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
What is the area of the triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
Given
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B.
There are 4 triangles with an area of 4 so that is 4A and since there is only one square the area of the whole thing is 4A+B.
Each triangle is also equal to 1/8 of the square.
This means A=B/8 or B=8A.
First replacing B in the previous equation you get 4A+8A which is 12A.
Then replacing A with B/8 you get 4(B/8)+B which is B/2+B which is 3B/2 and 3/2 is 1.5 so 3/2B is equal to 1.5B.
Hence, the expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
To know more about the area of the triangle click the link given below.
https://brainly.com/question/2009567
find the area of the Polygon
Pls Help!! :)
Answers
One of sides
6cm and 16cm
The other
12cm and 8cm
The area is found by calculating the areas of both and then adding them
Area =Length x Width
Area(1)=6 x 16 = 96 cm squared
Area(2)=12 x 8 = 96 cm squared
Total Area of polygon= Area(2) + Area(2)
=96 + 96
=192 cm squared
Find the value of x.
A. 8
B. 40
C. 10
D. 26
Answers
Answer:
ok well i need a image and or the full question x could = anything unless i can get the question the full question
Step-by-step explanation:
K (-2, 4) is a point on the terminal side of θ in standard form. Find the exact value of
sec (θ)
Answers
Answer:easy 8
Step-by-step explanation: first you have to use the distributive property and then combine like terms so k=8
⦁ Write an equation of a line in slope intercept form (y = mx + b) with slope 1/3 going through the point (-6, 2). Show your work for full credit.
Answers
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y-2=\cfrac{1}{3}(x+6)\implies y-2=\cfrac{1}{3}x+2\implies y=\cfrac{1}{3}x+4[/tex]
Identify the hypothesis and conclusion in the conditional statement.
It is winter if it is February,
Drag and drop each correct answer into the appropriate box.
Hypothesis:
Conclusion:
it is not February
it is February
it is May
it is winter
Answers
[tex] \huge{ \rm{Answer:}}[/tex]
Hypothesis: It is winter
Conclusion: it is February
HOPE THIS HELPS^^
At the market, 7 oranges cost $4.55. How much do 10 oranges cost?
Answers
Answer: $6.50
Step-by-step explanation:
First you do 4.55/7 and you get 0.65, then you multiply that by 10 which will get you $6.50.
it's 6.50 because when you divide 4.55/7 it's 0.65 multiplied by 10 it's 6.50
A ship is traveling in a circle around the outside rim of an island park surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?
Answers
Answer:
7.9 miles
Step-by-step explanation:
pi = 3.14
r = radius = 10 miles
c = circumference
substituting the values
c = 2pi*r
c = 2 * 3.14 * 10
c = 62.83 miles
The ship has traveled 45° due north
so,
d = ( total circular distance * 45 ) / 360
substituting the values:
we get;
d = ( 62.83 * 45 ) / 360
= 7.85 miles
= 7.9 miles
What do you get when you get when you add two negative numbers together? Give an example
Answers
You get a negative number
-3 + (-10) = -13
Answer:
A negative number.
Step-by-step explanation:
For example, -5+-3 is -8. This is because as you add negative numbers, you go further down the number line, therefore it becomes smaller and a small negative number has a bigger number in front of the minus sign.
What is the area of the shaded region? TYPE ONLY THE NUMERIC ANSWER GIVING BRAINLIEST
Answers
To get the area of the shaded region, we must subtract the area of the bigger triangle on the outside and the area of the smaller triangle inside the bigger triangle.
Set up the equation:
Area of big triangle - Area of small triangle = [tex]\frac{1}{2} *19*19 - \frac{1}{2} *13*13[/tex][tex]= \frac{1}{2} (19^{2} -13^{2} ) = \frac{1}{2}*192 = 96[/tex]
So the area of the shaded region is 96.
Hope that helps!
Given the measure of an interior angle of a regular polygon, how many sides does the polygon have?
177.75
Answers
Answer:
144 sides
Step-by-step explanation:
Please I need help ASAP!! What are the velocities of sound waves in air, helium, and carbon dioxide? Show your data. (Please no links.)
Answers
Answer: So for helium the equation above gives v= 973 m/s at STP, and 1,020 m/s at 298 K. Since the speed, frequency and length of a sound wave are related by the equation ν = v/λ, the frequency of a sound produced by a resonator of a particular length is proportional to the speed of sound in the particular gas that fills the resonator. For air at STP (0 °C and 1 atm), γ = 1.40, and v= √((1.40 × 8.314 J/mol·K ×273.16 K)/(2.8967 × 10-2kg/mol)) = 331 m/s.
Step-by-step explanation: I think this is right I'm not the best but hope it helps!
in a factory ,12 machines are used to produce an assignment of nailsin ninie days. if 6 machines are added to step up the production,find out how many days it will take to complete the assignment
