The two lines never intersect (are parallel lines) thus the equation:
6 - x = 3 - x
Has no solutions.
What can we say about the equation?
Here we have the equation:
6 - x = 3 - x
And (supposedly) a graph of the two lines:
y = 6 - x
y = 3 - x
Notice that the part on the linear equations that depens of x is equal to the ones in the equation above.
So basically we have a system of equations:
y = 6 - x
y = 3 - x
Because "y" is the same thing in both equations, we can rewrite:
6 - x = y = 3 - x
If we remove the part in the middle, we return to the original equation:
6 - x = 3 - x
Now, the solution of that equation is given by the point where the two graphs of the linear equations intersect, it will never happen, because both linear equations are parallel (have the same slope) which means that the equation:
6 - x = 3 - x
Has no solutions.
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Answer:
its smthing about no solutions. Just pick the answer that says no solution satifies it
Step-by-step explanation:
i got it right on imagine math :))) (i dont have the screen shot)
Need help with algebra
Solution
Option D
Hence the correct answer is Option D
What is the function Rule for function G
Blender uses an X, Y, and Z coordinate plane called the Euclidean geometry model in its design grid. In your own words, briefly describe the Euclidean geometry model and how you can use the model to create 3D objects.
Euclidean geometry is the study of flat and solid figures based on the axioms and theorems of the Greek mathematician Euclid (c. 300 BCE). Euclidean geometry is the plane and solid geometry that is usually taught in High schools.
How can Euclidean Geometry be used to create 3D Objects?Euclidean features are ideally suited to defining man-made settings (which are usually in 3D) and are reasonably simple for the user to give.
The incorporation of scene restrictions into the model acquisition process decreases the number of unique configurations for calibration and enables model reconstruction using small sets or even single photos despite the presence of multiple occlusions.
Another obvious use for such a technology is augmented reality. After rebuilding, real-world scene models can be merged with other reconstructed or synthetic models. This is particularly beneficial in architectural applications.
Indeed, before an architectural project is approved, its influence on the existing environment is represented using hand-drawn or computer-aided design (CAD) city models.
The process of creating such models is time-consuming and needs more previous knowledge than scene reconstruction from photos.
Furthermore, when necessary, classic architectural resources such as maps and architectural drawings are simple to include in an interactive reconstruction method.
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Use Prime Factors to find the lcm
14. 6,15
15. 8,14
16. 28,8
17. 24,36
18 25,15
Grade 8 Math
Lcm of 14. 6,15 is 210 and 15. 8,14 is 840 and 16. 28,8 is 112 and 17. 24,36 is 1224 and 18 25,15 is 450
What is prime factorization ?When a number is represented as the sum of its prime factors, this process is known as prime factorization. In prime numbers, there are just two factors: one and the number itself. 2, 3, 5, 7, 11, 13, and other prime numbers are examples of prime numbers. A number is prime factorized when it is represented as a collection of primes.
i) List all prime factors for each number.
Prime Factorization of 6 is:
2 x 3 = [tex]2^{1}[/tex] x [tex]3^{1}[/tex]
Prime Factorization of 14 is:
2 x 7 = [tex]2^{1}[/tex] x[tex]7^{1}[/tex]
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x [tex]5^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 3, 5, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 3 x 5 x 7 = 210
In exponential form:
LCM = [tex]2^{1}[/tex] x [tex]3^{1}[/tex] x [tex]5^{1}[/tex] x[tex]7^{1}[/tex] = 210
LCM = 210
Therefore,
LCM(6, 14, 15) = 210
ii)List all prime factors for each number.
Prime Factorization of 8 is:
2 x 2 x 2 = [tex]2^{3}[/tex]
Prime Factorization of 14 is:
2 x 7 = [tex]2^{1}[/tex] x [tex]7^{1}[/tex]
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x[tex]5^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 3, 5, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840
In exponential form:
LCM = [tex]2^{3}[/tex] x[tex]3^{1}[/tex] x [tex]5^{1}[/tex] x [tex]7^{1}[/tex] = 840
LCM = 840
Therefore,
LCM(8, 14, 15) = 840
iii)List all prime factors for each number.
Prime Factorization of 8 is:
2 x 2 x 2 = [tex]2^{3}[/tex]
Prime Factorization of 16 is:
2 x 2 x 2 x 2 = [tex]2^{4}[/tex]
Prime Factorization of 28 is:
2 x 2 x 7 = [tex]2^{2}[/tex] x [tex]7^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 2, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 2 x 7 = 112
In exponential form:
LCM = [tex]2^{4}[/tex] x[tex]7^{1}[/tex]
= 112
LCM = 112
Therefore,
LCM(8, 16, 28) = 112
iv) List all prime factors for each number.
Prime Factorization of 17 shows:
17 is prime = 171
Prime Factorization of 24 is:
2 x 2 x 2 x 3 = [tex]2^{3}[/tex] x [tex]3^{1}[/tex]
Prime Factorization of 36 is:
2 x 2 x 3 x 3 = [tex]2^{2}[/tex] x [tex]3^{2}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 3, 3, 17
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 3 x 3 x 17 = 1224
In exponential form:
LCM = [tex]2^{3}[/tex] x [tex]3^{2}[/tex] x [tex]17^{1}[/tex] = 1224
LCM = 1224
Therefore,
LCM(17, 24, 36) = 1224
v)List all prime factors for each number.
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x [tex]5^{1}[/tex]
Prime Factorization of 18 is:
2 x 3 x 3 = [tex]2^{1}[/tex] x [tex]3^{2}[/tex]
Prime Factorization of 25 is:
5 x 5 = [tex]5^{2}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 3, 3, 5, 5
To determine the LCM, multiply these elements collectively.
LCM = 2 x 3 x 3 x 5 x 5
= 450
In exponential form:
LCM = [tex]2^{1}[/tex] x [tex]3^{2}[/tex] x [tex]5^{2}[/tex]
= 450
LCM = 450
Therefore,
LCM(15, 18, 25) = 450
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Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters
The length and the width of the sticky note in millimeters are 2.5 × 10⁻⁵ millimeters and 1.25 × 10⁻³ millimeters respectively.
The dimension of Kendra's sticky note using a meter stick are:
The width of the sticky note is 1.25 × 10⁻⁸ meters and the length of the sticky note is 2.5 × 10⁻⁶ meters.
Now we know,
1 meter = 1000 milimeters.
Therefore, the length of the sticky note in millimeters will be:
L = 2.5 × 10⁻⁸ meters
L = 2.5 × 10⁻⁸ × 1000 millimeters
L = 2.5 × 10⁻⁸ × 10³ millimeters
L = 2.5 × 10⁻⁸ ⁺ ³ millimeters
L = 2.5 × 10⁻⁵ millimeters
So, the width of the sticky note is:
W = 1.25 × 10⁻⁶ meters
W = 1.25 × 10⁻⁶ × 10³ millimeters
W = 1.25 × 10⁻³ millimeters
Hence, the dimension in millimeters is: the width and length of the sticky note is 1.25 × 10⁻³ millimeters and 2.5 × 10⁻⁵ millimeters respectively.
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james has 12510 toys he wants to share 80 toys with his friends
Answer: 156.375
Step-by-step explanation:
Which graph is defined by the function given below?
y = (x - 5)(x-5)
Answer: The graph for this quadratic function has an x intercept of 5 and a y intercept of 25.
Step-by-step explanation: The picture of the graph is attached below.
(I don't know if this is what you're looking for but hope it helps!)
For the right triangle below, find the measure of the angle. Please show your answer to one decimal place.
6
13
The measure of the angle is 1.0 when rounded to one decimal places.
What is right triangle ?If one of the triangle's angles is 90 degrees, the triangle is said to have right angles. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle. In addition, the right triangles are categorized as isosceles right triangles and scalene right triangles based on the other angle values. Pythagorean triples are another name for the right triangle's side lengths, which include 3, 4, and 5.
Given that : right triangle, we're provided the hypotenuse and the leg next to. We can use the cosine ratio to determine :
Cosθ =[tex]\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
Cosθ =[tex]\frac{4}{7}[/tex]
Use the inverse cosine ratio
θ = [tex]cos^{-1} \frac{4}{7}[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
θ =0.9626
Therefore, θ = 1.0 when rounded to one decimal places.
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I am very confused on how to get i, how do you do this problem?
given polynomial is,
[tex](x-2)(x^2-12x+40)=0_{}[/tex]let us find thefactors of the polynomial,
[tex]\begin{gathered} x-2=0 \\ x=2 \\ \\ \end{gathered}[/tex]for the polynomial,
[tex]x^2-12x+40=0[/tex]use the formula to find the factors,
[tex]\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]where,
[tex]\begin{gathered} a=1 \\ b=-12 \\ c=40 \end{gathered}[/tex]thus,
[tex]\begin{gathered} =\frac{-\mleft(-12\mright)\pm\sqrt[]{(-12)^2-4\times1\times40}}{2\times1} \\ =\frac{12\pm\sqrt[]{144-160}}{2} \\ =\frac{12\pm\sqrt[]{-16}}{2} \\ =\frac{12\pm\sqrt[]{2\times8}}{2} \\ =\frac{12\pm4i}{2} \\ =\frac{2(6\pm2i)}{2} \\ =6\pm2i \end{gathered}[/tex]thus,
[tex]\begin{gathered} x=6+2i \\ x=6-2i \end{gathered}[/tex]the factors are,
[tex]\begin{gathered} x=2 \\ x=6+2i \\ x=6-2i \end{gathered}[/tex]what is the percent chance from 450 To 1188
Answer:
738
Step-by-step explanation:
1188 - 450 = 738
Finding the coordinate that yields a given slope
The points (6, 4) and (r, -11) lie on a line with slope -5. Find the missing coordinate r.
Answer:
Step-by-step explanation:
If you divided a positive number by a negative number and then divided the result by another negative number, what would the sign of the final result be? Explain your reasoning.
Answer: Positive
Step-by-step explanation:
If a positive number is divided ( or multiplied ) by a negative number it is always a negative number. If you divide ( or multiplied) two negative numbers its always a positive so,
+/- = -
- / - = +
Question: 7 divided by 4 5/11
The answer to your question is =
1.57142857
Find 1 , 305 × 81 . Then estimate to check your answer. A. 1 , 305 × 81 = 85 , 705 Check : 1 , 000 × 8 = 80 , 000 B. 1 , 305 × 81 = 105 , 705 . Check : 1 , 400 × 90 = 12 , 600 C. 1 , 305 × 81 = 105 , 705 Check : 1 , 200 × 80 = 96 , 000 D. 1 , 305 × 81 = 105 , 705 Check : 1 , 300 × 80 = 104 , 000
The multiplication of the value of 1305 by 81 will give a value of 105705.
How to illustrate the information?It should be noted that the information given simply means the multiplication of the numbers that are given. This is quite easy and straightforward.
In this case, it should be noted that 1305 × 81 will give a value thus:
= 1305 × 81
= 105705
The value of 105705.
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How much will the house be worth?
Given:
[tex]S=C(1+r)^t[/tex]Where:
• S is the inflated value t years from now
,• r is the rate
,• C is the present value.
Let's solve for S, when:
• r = 6% = 0.06
,• C = $73,000
,• t = 12
Input values into the equation and solve for S:
[tex]S=73000(1+0.06)^{12}[/tex]Solving further:
[tex]\begin{gathered} S=73000(1.06)^{12} \\ \\ S=73000(2.012196472) \\ \\ S=146890.34\approx146890 \end{gathered}[/tex]herefore, the house will be worth $146890
NSWER:
$146,890
Suppose the current cost of gasoline is $3.10 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value.
The current price index is _____
(Round to one decimal place as needed.)
The current price index is mathematically given as,$538.194
What is the current price index?By increasing the ratio of the current value to the reference value by 100, one can determine the index value.
Given that the current cost of gasoline is $3.10 per gallon. we need to find the current price index number, using the 1975 price of 56.7 cents as the reference value.
In regard to this issue, we have that:
Current value = $3.10
Reference value: $0.576
Typically, the mathematical formula for the Index price is,
I = (3.10/0.576) x 100
I= $538.194
The current price index number is 538.194
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Help.
A. 6.5
B. 18
C. 36
D. 6
Answer: The answer is D: 6
Which numbers are irrational? Select all that apply.
A. √25
B. √28
C. √48
D. √169
An IRRATIONAL number is a number that can't be written as a simple fraction!
What is a simple fraction? a fraction having whole numbers for the numerator and denominator. To add on that i think it also means that it can be simplified.
So we can't have a mixed number or a fraction that can't be simplified.
A. The square root of 25=5. Can we turn five into a fraction? We sure can! It's also whole, which is a good sign too.
B. The square root of 28=5.29 We can't turn B into a simplified fraction. it will be a mixed number with 6 93/100. ✅
C. The square root of 48=6.93 We also can't turn C into a simplified fraction. It will be a mixed number as well, looking like 5 29/100. ✅
D. The square root of 169=13. This is promising, it's a whole number!
ANSWER: B AND C
------------------------------------------
much love!! <33 || if this is wrong, don't be afraid to dislike!! thanks! :D
Consider the inequality 7 + 4x > x − 2.
Which value(s) of x are solutions? Select all that apply
x = −3
x = 0
x = 3
x = −6
The values of x that satisfies the inequality are:
x = 0 and x = 3
Given,
The inequality = 7 + 4x > x - 2
We have to find the values of x that satisfies the inequality.
Lets check:
Check for x = -37 + 4 × -3 > -3 - 2
7 - 12 > -5
-5 > -5
Here, -5 = -5
So,
The value x = -3 will not satisfy the inequality
Check for x = 07 + 4 × 0 > 0 - 2
7 > -2
The value x = 0 satisfies the inequality
Check for x = 37 + 4 × 3 > 3 - 2
7 + 12 > 1
19 > 1
The value x = 3 satisfies the inequality
Check for x = -67 + 4 × -6 > -6 - 2
7 - 24 > -8
-17 > -8
As negative values -17 is less than -8.
So, the value x = -6 will not satisfies the inequality
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In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither (events cannot be both disjoint and independent). which is the correct answera) You and a randomly selected student from your class both earn A's in this course.IndependentMutually ExclusiveNeitherb) You and your class partner both earn A's in this course.NeitherMutually ExclusiveIndependentc) If two events can occur at the same time, they must be independent.TrueFalse
(a) You and a randomly selected student from your class both earn A's in this course.
Answer: Here selection of one student is independent of the other.
Therefore it is independent.
(b) You and your class partner both earn A's in this course.
Answer: Here enough data is not available to comment whether the given event is mutually exclusive or independent.
Therefore it is neither.
(c) If two events can occur at the same time, they must be independent.
Answer: If both the events occur at the same time then it is not necessary they are independent.
Therefore it is False.
Tickets to a football match cost €8, €15 or €20 each. The number of €15 tickets sold was
double the number of €8 tickets sold. 6000 more €20 tickets were sold than €15 tickets.
If the gate receipts totalled €783 000, how many of each type of ticket were sold?
There are three different types of tickets sold, according on the query ($8, $15, and $20).
8500 $8 tickets
17000 at $15 each
23000 $20 tickets
A linear equation example is what?Ax +By = C is the typical form for two-variable linear equations. For instance, the equation 2x+3y=5 is a standard form linear equation .Finding both intercepts is rather easy when an equation is supplied in this style (x and y).
$8 tickets for x.
$15 tickets are y.
$20 tickets = z
8x + 15y + 20z = 783000 when y = 2x z = y + 6000.
conventional form for the system of linear equations
8x + 15y + 20z = 783000 2x - y = 0 y - z = -6000
x = 8500 $8 tickets
Y = 17000 tickets at $15 each
z = 23000 at $20 each.
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y=x+6
how do i graph this?
Answer:
y=mx+b, where x and y are variables, m is the slope, and b is the y-int
Since there is no m value, it is 1/1 or simply 1. Therefore you rise 1 point for every 1 you move right.
Your graph needs to intercept the y-axis at point (0,6).
The easiest way to graph this equation is to plot a point at (0,6) and then start your slope of 1/1.
I have attached an image of the graph.
Hope that helps.
Which of the following expressions do not have a result of zero? Why don't they? If not zero, what is their result? Express your answer in complete sentences. 0 × ( − 7 ) − 8 − ( − 8 ) 0 ( − 4 ) 6 0
The expressions that do not have a result of zero among the given expression is 6/0.
How can the expression be simplified?It should be noted that the option can be written properly as :
0 x (-7)
-8 - (-8)
0/(-4)
6/0
From the first option, 0 x (-7), the simplification will give us 0.
From the second option, -8 - (-8), the simplification will give us 0.
From the third option, 0/(-4), the simplification will give us 0.
From the forth option, 6/0, the simplification will give us ∞
Therefore, the expression that will not give zero after simplification is 6/0 because it will give us infinity.
Therefore, the last option is correct.
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pls help i dont get it this is due today
Answer:
Part a: x + 17 = 52 Part b: He should guess the number 35.
Step-by-step explanation:
In the equation, x stands for the number he has to guess. He is given the clue, "17 more than the number is 52." Therefore x + 17 = 52. Another equation you could use is 52 - 17 = x. This equation would be used to solve the problem. 52 - 17 = 35
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, what would be appropriate to use?
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, bargraph, pie chart, one way table would be appropriate to use.
What exactly do you mean by Gross National products?Gross national product (GNP), calculated without taking into account the depreciation or consumption of capital utilized in the manufacturing process, is the total market value of the final goods and services generated by a country's economy during a given time period (often a year).
What distinguishes the GDP from the GNP?The value of the final domestic goods and services generated inside a country's boundaries is known as the gross domestic product (GDP).
The value of all the finished goods and services that are owned by a nation's citizens, regardless of whether those kinds of goods were made in that nation, is what is known as its gross national product (GNP).
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This is an assignment may someone help me but not give me the answers just explain the steps I need to take
See explanation below
Explanation:
From the question, we are told line TV is perpendicular to line US.
This means the point which they intersect has an angle of 90°.
We are also told line TV bisects STU.
For a line to bisect an angle, it means it divided the angle into two equal parts.
When line TV bisects STU, it divided it into angle STR and angle UTR
Hence, ∠STR = ∠UTR
Also line SU and line and line VT intersect to give vertical angles.
Angle R and the angle opposite it are vertical angles.
Vertical angles are equal.
The angle with 90° and the angle opposite it is also a vertical angle.
you can see from the illustration. The two angles opposite each other are equal to 90°.
Since angle on a straight line = 180°
angle R + 90° = 180°
angle R = 180-90
angle R = 90°
All the 4 angles that result from the intersection line VT and line SU are equal to 90°
The graph of a function is shown below. Use the graph of the function to find its average rate of change from x=-4 to x=2
Based on the interval, the average rate of change of the function is 4.0
How to estimate the average rate of change of the function f?The graph that completes the question is added as an attachment
From the graph, we can see that the equation of the graph is a quadratic equation
Also, from the question:
We have the interval to be:
The interval is given as
x = -4 to x = 2
This can be represented as
(a, b) = (-4, 2)
From the attached graph, we have
f(-4) = 22
f(2) = -2
The estimate of the average rate of change f is calculated as(to one decimal place)
Rate = [f(b) - f(a)]/[b - a]
Substitute the known values in the above equation
This gives
Rate = [f(2) - f(-4)]/[2 + 4]
Substitute the known values in the above equation
So, we have
Rate = [-2 - 22]/[2 + 4]
Evaluate
Rate = -4.0
Hence, the estimate (to one decimal place) of the average rate of change of the graph is 4.0
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Use the labeled point to write a point-slope form for the line.
the point slope of the line is
4) Jim and Edna are planting a rectangular garden with 6 rows of equal numbers of pepper
plants. Each row will be 60 feet long. They set the plants 3 feet apart and start planting at one
corner of the garden. How many plants will they need?
Answer:
120
Step-by-step explanation:
They need six rows with an equal amount of peppers on each row, luckily, everything we need to solve is problem is right in front of us.
First we divide the amounts below
How long the rows will be / How far apart the peppers will be spread.
As we can see that gives us 60 / 3, which should be 20.
Now that we’ve completed this portion we can move on.
Multiply your answer from the division, by how many rows there are.
Our answer from the division was 20, and as we can see there are six rows.
20 x 6 = 120.
Which should give you your answer!
What is the following quotient?
S6+/11
√√5+√3
30+32+√55+√√33
8
30-3√2+√55-√33
2
17
8
52
2
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2}+\sqrt{55}-\sqrt{33} }{2}[/tex]
What is rationalizing?When you rationalize an equation, you remove any surpluses from the fractions' bottom (denominator). Typically, when you are requested to rationalize or simplify an expression, it also suggests that you should do so.
To make a fraction's denominator a rational number, we rationalize any radicals or surds present. To accomplish this, we often multiply the numerator and denominator by an appropriate radical, then simplify. Divide and multiply the supplied fraction by the same square root value to rationalize the denominator. The denominator will be a rational integer in this case.
Given Data
[tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5} +\sqrt{3} }[/tex]
Rationalizing,
[tex]\frac{\sqrt{6} +\sqrt{11} }{\sqrt{5}+\sqrt{3} }[/tex] × [tex]\frac{\sqrt{5} -\sqrt{3} }{\sqrt{5} -\sqrt{3} }[/tex]
[tex]\frac{\sqrt{6}+\sqrt{11}(\sqrt{5}-\sqrt{3} ) }{\sqrt{5}+\sqrt{3} (\sqrt{5}-\sqrt{3} }[/tex]
[tex]\frac{\sqrt{30}-\sqrt{18}+\sqrt{55} -\sqrt{33} }{5-3}[/tex]
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2} +\sqrt{55}-\sqrt{33} }{2}[/tex]
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