Answers
We need to determine the equation of the circle graphed in the attachment. Firstly we know the Standard equation of a Circle as ,
[tex]\sf\implies (x-h)^2+(y-k)^2 = r^2[/tex]
Where ( h , k ) is centre and r is radius.Let's find out the radius . As ,
[tex]\sf\implies r = \sqrt{ ( 6-4)^2+(2+2)^2} \\\\ \sf\implies r =\sqrt{ 2^2 + 4^2}\\\\\sf\implies r = \sqrt{ 4 + 16 }\\\\\sf\implies \red{r =\sqrt{20}}[/tex]
Substituting the respective values :-
[tex]\implies ( x - 4 )^2 + \{y - (-2)\}^2 = (\sqrt{20})^2 \\\\\sf\implies ( x - 4 )^2 + \{y + 2 \}^2 = 20 \\\\\sf\implies x^2+16-8x + y^2+4+4y = 20 \\\\\sf\implies \red{x^2+ y^2 - 8x + 4y = 0 }[/tex]
Answer :-[tex]\boxed{\pink{\tt Equation \to x^2+ y^2 - 8x + 4y = 0 }}[/tex]
Related Questions
Solve for X. Show your work.
Answers
Answer:
x=8
Step-by-step explanation:
The angles are vertical angles so they are equal
8x+36 = 5x+60
Subtract 5x from each side
8x+36-5x = 5x+60-5x
3x+36 = 60
Subtract 36 from each side
3x+36-36 = 60-36
3x =24
Divide each side by 3
3x/3 = 24/3
x=8
Find z.
What is the length of the missing leg?
b = _____ miles
Answers
Answer:
5√3
Step-by-step explanation:
tan30= 5/z
1/√3= 5/z
z= 5√3
A large western stare consists of 3872 million acres of land. Approximately 82% of this land is federally owned. Find the number of acres that are not federally owned.
Answers
Answer:
696.96 million acres of land
Step-by-step explanation:
Acres not federally owned = Percentage of acres not federally owned x total acres of land
Percentage of acres not federally owned = 100% - percentage of acres federally owned
100% - 82% = 18%
0.18 x 3872 = 696.96 million acres of land
How do you calculate the Monthly Share of Annual Expenses? What would they be if the annual expenses were $27,987? (Show Your Work)
Answers
Answer:
$2332.25 per month
Step-by-step explanation:
1) The monthly share of annual expenses can be calculated from the annual expenses. Since there are 12 months in a year, the monthly share of annual expenses is gotten by dividing the annual expenses by the number of months in a year.
2) The monthly share of annual expenses is given by:
Monthly share of annual expenses = Annual expenses / 12 months
Monthly share of annual expenses = $27987 / 12 months = $2332.25 per month
I NEED THIS BY TODAY!!
Answers
Step-by-step explanation:
[tex](1. \: x = - \frac{y}{3} [/tex]
[tex](2. \: x = \frac{22 + 3y}{2} [/tex]
I think this is correct and what you wanted
2x+9x=22
11x=22 and divide eleven on both sides leaving x=2
HELP DUE IN 15 MINS!
x = ?? degrees
Answers
Answer:
VWU and FWT are vertical angles.
Their measure is same and:
VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°Choose all the zeros of the quadratic function defined by the expression 2x2 + 5x - 12
Answers
Answer:
3/2 and -4
Step-by-step explanation:
that is the answer
Sarah walks uphill at an average of 2 miles per hour, and downhill at an average of 4 miles per hour. She goes for a 6 mile hike up a hill, and then returns downhill by the same route. What is Sarah's average speed for the whole journey?
Answers
Answer:
48
Step-by-step explanation:
Answer:
Average of 3mph
Step-by-step explanation:
If Sarah goes uphill at 2mph and downhill at 4mph.
Then to find the average you can:
Add 2 plus 4
which equals 6
Then divide the sum of 6 by the number of values given, there are two values (2 and 4)
6 divided by 2 equals 3
So the average is 3mph
a rectangular plot has a perimeter of 124cm. The width is 2cm shoter than the lengh.What is the area of the rectangle?
Answers
Answer:
[tex]area = 960cm^2[/tex]
Step-by-step explanation:
Perimeter = 2 x (length + width) ------(1)
Perimeter = 124cm
Let length be x
Given width is 2cm shorter than length , that width = x -2
[tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]
Length = 32cm
Width = 32 - 2 = 30cm
Area = length x width
[tex]= 32 \times 30 = 960cm^2[/tex]
Perimeter = 124cm
Length = L
Width = L-2
2 Length = 2 L
2 Width = 2 L - (2x2)
=2 L - 4
=124cm - 4cm
= 120cm
=120/4
=30cm
Width= 30cm
Length = 30cm + 2cm
= 32
Perimeter:
=2 x 32cm + 2 x 30cm
=64cm + 60cm
= 124cm
Brad and Don went to the mall together. Brad spent $18 on food. Don spent twice the amount of money that Brad spent.
a) Write an algebraic equation to express how much Don spent and solve the equation you made.
b) Brad's sister had gone to the mall the day before and spent 30% of what Don did. How much did she spend?
c) If the tax rate was 13% how much of what Don and Brad spent was for tax?
Answers
Answer:
a). x=18x2
18x2=36
Don spent 36 dollars.
b). x=36x0.3
36x0.3=10.8
Brad's sister spent 10 dollars and 80 cents.
c). 36+18=54
1.0-0.13 = 0.87
54x0.87=46.98
54-46.98=7.02
Don and Brad paid 7 dollars and 2 cents in tax.
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110
Answers
Answer: (a)
Step-by-step explanation:
Given
The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used
for 600 kWh in a month, [tex]b(x)[/tex] is
Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]
[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]
Therefore, the bill for a person is [tex]\$80[/tex]
Solve for w: v = 3p (w -r)
Answers
Answer:
Step-by-step explanation:
v=3p(w-r)
v=3pw-3pr
v+3pr=3pw
(v+3pr)/3p=w
Find the value for x?
Answers
Answer:
32°
Step-by-step explanation:
[tex]64 \div 2 = 32[/tex]
Answer:
32°
Step-by-step explanation:
They are vertically opposite angles hence equal ,
> 2x = 64°
> x = 64°/2
> x = 32°
Determine whether the equation below has one solution, no solution, or infinitely many solutions: 3x − 15 = 3(x − 6)
Answers
Answer:
No solutions
Step-by-step explanation:
3(x-6)= 3x-18
3x=15≠3x-18
A line is perpendicular to y = 3/7x - 2 and intersects the point (3, 3). What is the equation of this perpendicular line?
Answers
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find b
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.
Answers
Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
Is (–9, 7) a solution to this system of inequalities?
x + y ≤ –7
7x − 4y > –4
Answers
Answer:
No
Step-by-step explanation:
[tex]7x-4y>-4[/tex]
[tex]7(-9)-4(7)>-4[/tex]
[tex](-63)-(28)>-4[/tex]
[tex](-91)>-4[/tex]
[tex](-9,7)[/tex] is not a solution to the system of inequality
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answers
Answer:
Need a picture so someone can answer.
Answer:
Step-by-step explanation:
Sorry but i can not help you without a picture being present
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
D
Step-by-step explanation:
V = 4.5 ×5 ×2.5 = 56.25
(D )
Answer:
56 1/4 cm^3
Step-by-step explanation:
To find the volume,
V = l*w*h
= 2 1/2 * 4 1/2 * 5
Changing to improper fractions
= 5/2 * 9/2 *5
= 225/4
Changing back to a mixed number
56 1/4 cm^3
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answers
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transformations can be used
to support Sara's claim?
A
a reflection over the y-axis, followed by a reflection over the x-axis.
B
a translation of 7 units to the left, followed by a translation of 8 units up.
С
a reflection over the x-axis, followed by translation of 4 units to the right
D
a rotation of 270° clockwise about the origin, followed by a reflection over the y-axis.
Answers
The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.
Given that Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2.
When a graph is reflected along an axis, it says x-axis, then that leads the graph to go just to the opposite side of the axis as if we can see it in a mirror.
If we study it more, then we will find that it is symmetric, however, each point is equidistant from the axis of reflection as that of the image of that point.
Therefore, The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.
Learn more about transforming functions here:
https://brainly.com/question/17006186
#SPJ5
Susan spent fifty dollars of the $250 she had in her savings account. What
percent of her money was still in the bank?*
Answers
Answer:
80%
Step-by-step explanation:
Find the value of x. Using trig
Answers
Hi there! We can find the value of x by using this equation.
[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]
If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.
[tex] \large{arctan( \frac{19}{23} )} = x[/tex]
You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
x ≈ 0.7 (rounded)Questions can be asked through comment.
Hope it helps, and Happy Learning! :)
HELP WITH MATH TEST
Variable p is 2 less than variable d. Variable p is also 1 more than variable d. Which pair of equations best models the relationship between p and d? (5 points)
a
p = d + 2
p = d − 1
b
p = d − 2
p = d + 1
c
d = 2p
d = 2p − 1
d
d = 2p
d = 2p + 1
Answers
Answer:
b)
p = d − 2
p = d + 1
Step-by-step explanation:
From the above question:
Interpreting the statement above to form algebraic expressions, we have:
Variable p is 2 less than variable d.
Less than means to subtract in this context
p = d - 2
Variable p is also 1 more than variable d
More than means to add in this context
p = d + 1
Therefore, the pair of equations tha best models the relationship between p and d is Option b :
p = d − 2
p = d + 1
Isabel is buying framing to go around the perimeter of one of her paintings. Each inch of framing costs $0.40. What is the total cost of the framing for the pantings
Answers
I have added the complete question. That is in the attachment
Answer:
$13.2
Step-by-step explanation:
Cost of 1 inch = $0.4
Perimeter of painting is same as perimeter of a rectangle since painting is a rectangle
Perimeter = 2(l+b)
L = 10¼
B = 6¼
P = 2(10¼ + 6¼)
P = 2(41/4 + 25/4)
P = 2(10.25 + 6.25)
P = 2(16.5)
P = 33
Total cost of framing
= 0.4 x 33
= $13.2
A soccer league has 170 players. Of those players 60% are boys. How many boys are in the soccer league?
Answers
Answer:
102
Step-by-step explanation:
170*(60%) = 170 *0.6= 102
60% of the entire part is also 0.6
GEOMETRY/10 POINTS
WHAT DOES B EQUAL TO?
WILL MARK BRAINLIST GOD BLESS U
Answers
Answer :
[tex]360 - 108 = 252\\since \ divided \ equally = 126 each\\so \ b = 126[/tex]
explanation: since the outer ring of the circle is 360 degrees, i took 360 and subtracted 108. then, since the other two sectors are equal to each other, i took the answer of 360-108 which is 252 and divided it by 2 to get 126.
hope this helps! have a good day :)
Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?
A B C D +$20.20 -$20.30 -$1.20 +$18.80
Answers
Answer:
C - $20.30
Step-by-step explanation:
-9.55 + (-10.75) = - 20.3
can u help me plz////
Answers
Answer:
∠1=102 ∠2=78
Step-by-step explanation:
Who's gonna answer my last math question??
Answers
Sorry if I am wrong
Answer and Step-by-step explanation:
The answer would be A.
This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.
As for the other answers, it asks about the full range and not a specific number.
#teamtrees #PAW (Plant And Water)