Answer:
0.07=0.70 is not true
Step-by-step explanation:
0.70 is greater than the value 0.07.
Answer:
D.) 0.07 = 0.70
Step-by-step explanation:
This is NOT true because this should be 0.07 < 0.70 because 70 is greater than 7
PLEASE HELPP FAST!! A parking garage has 6 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft. What is the depth of the first level of the parking garage? Enter your answer in the box.
Answer:
its -22.6 just took the test
Step-by-step explanation:
The depth of the first level is - 22.6 ft.
In this question why we divided by 6 ?Given in the question ground level is 0 and last level is 6.We can think of it as 7 horizontal lines starting with the ground and these 7 lines makes 6 floors below the ground also given each floor is of same height.
According to the given question
A parking garage has 6 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft.
∴ The depth of first level of the parking garage is
= -135.6/6
= -22.6.
So, The depth of the first level is - 22.6 ft.
A diagram is attached below for more in depth understanding.
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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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which relation is a function ?
Answer:
Bottom left
Step-by-step explanation:
If you can draw a vertical line through a graph and touch only one point, the relation is a function.
The relation shown by Graph III is a function.
Thus, option (C) is correct.
A relation is a function if each input (x-value) is associated with only one output (y-value).
In other words, for every unique value of x, there should be a unique value of y.
The vertical line test is a method used to determine whether a given graph represents a function or not.
Graph I have two output correspond one input.
So, it is not a function.
Graph II have two output correspond one input.
So, it is not a function.
Graph III have one output correspond one input.
So, it is a function.
Graph IV have two output correspond one input.
So, it is not a function.
Therefore, Graph III is a function.
Thus, option (C) is correct.
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HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?
Answer: 80%. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the percentage, divide the sale cost by the original cost:
27.60/34.50
Let's multiply both sides by 10 to make the operation easier:
27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->
276/345, now solve:
276/345 = 0.8
0.8 = 80%
The percentage is 80%.
if y=24 when x=6, find y when x=-4
To solve this question, we need to use cross multiplication. We know that:
• y = 24 when x = 6
We want to find the value of y when x = -4
Then, we can write:
\(\frac{24}{6}=\frac{y}{-4}\)And solve:
\(\begin{gathered} 4=\frac{y}{-4} \\ . \\ y=-4\cdot4 \\ . \\ y=-16 \end{gathered}\)Thus, the answer is y = -16 when x = -4
What is tan 30? A b c d e f
Answer:
try all the square roots and wichever gets to 0.58(rounded) is your answer
Step-by-step explanation:
An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in 15 Years from today. Calculate the value of (to 2 decimal places), assuming an interest rate of 2% per annum.
Answer:
x = 12.29
Step-by-step explanation:
present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²
present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x
0.743x² = 9.1323x
x² / x = 9.1323 / 0.743
x = 12.29
Answer
x = 12.29
Step-by-step explanation:
Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:
x²/(1 + 0.02)^15
= x²(1/1.02)^15
= 0.743x²
The present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9
= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x
= 9.1323x
Now,
0.743x² = 9.1323x
x²/x = 9.1323/0.743
x = 12.29
This is what we are looking for.
point slope of the line equation, slope=4, passing through(7,2)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
apply your data
y-2 = 4(x-6)
Answer:
y−2= −2(x−7)
Step-by-step explanation:
khan academy says its right
While on a mountain hike, you see a sign posting that you are at an elevation of 130 ft. You arrive at another sign 30 minutes later that says you are at an elevation of 430 ft. What was your average rate of change of elevation? Round your answer to the nearest whole number, if necessary.
Your average rate of change of elevation is 10 ft/min.
What is rate of change?The rate of change defines how a given quantity changes per unit change in another quantity.
We can write the average rate of change as -
r{avg.} = {Δy/Δt} = {y₂ - y₁/x₂ - x₁}
We can write the instantaneous rate of change as -
r{ins.} = dy/dt
Given is that on a mountain hike, you see a sign posting that you are at an elevation of 130 ft. You arrive at another sign 30 minutes later that says you are at an elevation of 430 ft.
We can write the average rate of change as -
r{avg.} = {Δy/Δt} = {y₂ - y₁/x₂ - x₁}
r{avg.} = (430 - 130)/(30 - 0)
r{avg.} = (430 - 130)/(30)
r{avg.} = 300/30
r{avg.} = 10 ft/min
Therefore, your average rate of change of elevation is 10 ft/min.
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Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer a. At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. b. At 8 a.m. the water level decreased at a rate of 0.5 meters. c. At 8 a.m. the water level was 0.5 meters below sea level. d. Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
How to interpret the function notation D'(n)From the question, we have the following parameters that can be used in our computation:
The function D gives the depth of the water, in meters, t hours after midnight on a certain day
This means that
D = depth in meters
t = time in hours
From the question, we have
Notation = D(n)
Also, from the question, we have
D'(8) = -0.5
This is the inverse of the function D(t)
So, the values of the parameters are
D(t) = -0.5
t = 8
This means that the number of hours is 8 and the depth is -0.5 meters
Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
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You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
When walking in the classroom I stubbed my toe on a desk. My toe
accelerates at +5 m/s/s. My toe has a mass of 0.005 kg and the desk has a
mass of 25 kg. What is the acceleration if the desk?
Answer:
how did you stub your toe lol you str8?
Step-by-step explanation:
15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Which is the graph of the equation ?Which is the graph of the equation ?
The graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3 and this can be determined by using the slope-intercept form of the line.
What is a Graph?The set of ordered pairings where f(x)=y is displayed as the graph of a function in mathematics. These pairs represent the Cartesian coordinates of points in two-dimensional space and, in the typical case when x and f(x) are real values, they constitute a subset of this plane.
Given:
(y-1) = 2/3(x-3)
The following steps can be used to draw the graph of the given equation:
Step 1 - Write the given equation.
(y-1) = 2/3(x-3)
Step 2 - Simplify the above equation.
y= 2/3x -1
Step 3 - Draw the graph of (y = x).
Step 4 - Find the y-intercept and the slope of the above equation.
c= -1
m = 2/3
Step 5 - So, the graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3.
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"if A, then B" is the form of a _______statement
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
D
3
20 of 21
If the pointer cannot land on a line, how many different outcomes of a number and a color are possible?
v
Spinner B
Yellow
Brown
12 13
Red
Answer:
Step-by-step explanation:
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=\(\frac{1}{2}\)×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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True or False: All lines are functions. If false give an example of a line that is not a function.
Answer:
False, all lines are not functions.
Step-by-step explanation:
Vertical lines are not functions since they do not pass the vertical line test. In this case, one x-coordinate relates to several y-coordinates.
PLEASE HELP!!! I WiLL GIVE BRAINLIEST!!!!!
Identify the coefficients of x, y and z
5z - 2 + 6x + 3y
Answer:
x=5 y=3 z=5
Step-by-step explanation:
The coefficient is the number in front of the variable
Answer:
coefficient of x: 6coefficient of y: 3coefficient of z: 5Step-by-step explanation:
The coefficient in an expression is the multiplier of a designated part of a term of the expression.
__
coefficients hereThe given expression is
5z -2 +6x +3y
It consists of four (4) terms, added together. One term is a constant, -2. The others each have a single variable that is multiplied by a constant. When we ask for the coefficient of the variable, we are asking for the value of that constant multiplier.
The term containing x is 6x. The multiplier of x in that term is 6, so we say ...
the coefficient of x is 6.
The term containing y is 3y. The multiplier of y in that term is 3, so we say ...
the coefficient of y is 3.
The term containing z is 5z. The multiplier of z in that term is 5, so we say ...
the coefficient of z is 5.
__
other coefficientsIn an expression such as πr²h, different parts of the expression will have different coefficients. If we ask for the coefficient of the expression, we are generally asking for the constant: π. (The Greek letter pi is the symbol used to represent the irrational constant ratio between the circumference and diameter of a circle. Is is about 3.1415926535....)
If we ask for the coefficient of h, we are asking for the product (πr²) that multiplies h in this expression. Similarly, the coefficient of r² is (πh). Note that we have specified a "designated part" of the expression for which we want the coefficient. This is important when we are solving equations.
__
The commutative property of multiplication means that parts of a product can be written in any order. That is, 5·z is the same product as z·5. When the constant and variable parts of the expression can be unambiguously identified, the order does not matter. In some cases, a constant coefficient may come in several parts: 3z·5·2 has a z-coefficient of 30, for example.
See below for a case where there may be some ambiguity.
__
exponentsIn the expression r², the constant 2 that comes after the variable, written as a superscript, is called an "exponent," not a coefficient. Often on Brainly, and sometimes in curriculum materials, you will see this written as r2, because superscripts do not get properly rendered. If you're writing this in plain text, the form r^2 is preferred.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
What number is represented by the unlabeled line between zero and one on the x axis?
Let's find the number that is represented by the unlabeled line between zero and one on the x-axis.
From the graph, the x-axis is represented by the horizontal line while the y-axis is represented by the vertical line.
On the x-axis 2 cm represents 1 unit.
Here, the line between 0 and 1 is 0.5.
Also, the y-value is zero.
The point on a graph is represented by: (x, y)
The number that is represented by the unlabeled line between zero and one on the x-axis is 0.5.
In point form, it is written as:
(x, y) ==> (0.5, 0)
ANSWER:
(0.5, 0)
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
The product and the square of a number decreased by 5 is 67. Find the number.
Answer: 87
Step-by-step explanation:
Four times a number decreased by 5 is 67.Find the number.
Four times a number decreased by 5 is 67.
4x5=20
X-20=67
X=67+20
X=87
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Answer:
Z = 16Y
For instance, let's say we want to know how many ounces there are in 2 pounds.
We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.
help plsssssssssssssss
Answer:step 2
Step-by-step explanation:
Answer all four and I’ll give BRAINLIEST...(Supplementary angles, Complementary angles, or Adjacent angles)
Answer: Answers and explanations down below.
Step-by-step explanation:
1. 90- 24= 66
m<FCG= 66 degrees
2. 24+31=55
180-55= 125
m<BCD= 125 degrees
3. 90+24=114
m<FCB=114 degrees
4. 90+66=156
m<ACG=156 degrees
Step-by-step explanation:
FCG=66°
BCD=125°
FCB=114°
ACG=156°
Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle
Answer:
The answer is 16pi or 50.3cm² to 1 d.p
Step-by-step explanation:
The non shaded=area of shaded
d=8
r=d/2=4
A=pir³
A=p1×4²
A=pi×16
A=16picm² or 50.3cm² to 1d.p
Answer:
3.45 cm (3 s.f.)
Step-by-step explanation:
We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.
To find the radius of a regular polygon given its side length, we can use this formula:
\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):
\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)
The formulas for the area of a regular polygon and the area of a circle given their radii are:
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Therefore, the area of the regular pentagon is:
\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)
The area of the circumcircle is:
\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)
The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.
The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.
Given the shaded area is equal to the unshaded area:
\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)
\(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)
Therefore, the radius of the small circle is 3.45 cm (3 s.f.).
Write the standard form of the equation of a circle with radius 3 and center (11, 3)
Answer:
x² - 22x + y² - 6y + 121 = 0
Step-by-step explanation:
General Form of Equation
(x - h)² + (y - k)² = r²Solving
(x - 11)² + (y - 3)² = (3)²x² - 22x + 121 + y² - 6y + 9 = 9x² - 22x + y² - 6y + 121 = 0Answer:
(x+11)2+(y−3)2=81
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Step-by-step explanation: