Answer:
y= -3x+2
Step-by-step explanation:
a. JDJ b. Jpfe & G C dy dr, D: is bounded by y = 0, y = 4-², x=0, x=2. dx dy, D: is bounded by y = 2x, y=0, x= √In 3, y = 2√/ln 3. 2 du dr. D: is the circle x² + y² = 1.
The first integral is bounded by specific equations and involves integration with respect to x and y. The second integral is bounded by different equations the third integral is defined over a circular region.
In the first integral, JDJ, the region D is bounded by the equations y = 0, y = 4 - x², x = 0, and x = 2. To evaluate this integral, we need to perform a double integration with respect to x and y. The limits of integration for x are from 0 to 2, while the limits for y depend on the value of x. The function being integrated is not specified, so the integrand would need to be given in order to obtain the precise result.
In the second integral, Jpfe & G C dy dr, the region D is bounded by the equations y = 2x, y = 0, x = √ln 3, and y = 2√ln 3. Here, the integration is done with respect to y first and then with respect to x. The limits for y are determined by the given equations, while the limits for x are constant. The specific integrand is not provided, so further information would be required to compute the result accurately.
The third integral, 2 du dr, is defined over a circular region D given by the equation x² + y² = 1. This equation represents a unit circle centered at the origin. The integration is performed in polar coordinates, where u represents the angle and r denotes the radial distance. The limits for u would typically range from 0 to 2π, covering the entire circle, while the limits for r would depend on the radius of the circle involved in the problem. The integrand function is not specified, so the complete problem statement would be necessary to determine the exact result.
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P (x, y) means "x + 2y = xy", where x and y are integers. Determine the truth value of the statement. Explain how you got each answer. P(1,-1). P(0,0). yP(3,y) y P(x, y) y P(x, y) xP(x, y). xP (x, y) P(x, y)
The truth values of the given statements are:
P(1,-1) is true P(0,0) is true yP(3,y) is false y P(x, y) is true xP(x, y) is true P(x, y) is true
Given that P (x, y) means "x + 2y = xy", where x and y are integers.
Determine the truth value of the statement.
We are supposed to determine the truth value of the given statement P(x,y).
If we substitute x=1 and y=-1 in the given statement P(x,y), we get P(1,-1) = 1+2(-1) = 1 * -1 = -1
This statement is true since 1+2(-1) is equal to -1. If we substitute x=0 and y=0 in the given statement P(x,y), we get P(0,0) = 0+2(0) = 0 * 0 = 0This statement is also true since 0+2(0) is equal to 0.yP(3,y): This statement is false since we cannot directly substitute y to the equation P(3,y) since we have two variables in the equation y and x. We need to find the value of x and then substitute the value of y. Let us find the value of x:x + 2y = xy (Given)x - xy = -2y (Taking 2y to the left side and x to the right side)x(1-y) = -2y (Taking common factor y to the left side and x to the right side)x = -2/(1-y) (Dividing both sides by (1-y))Now we can substitute x with -2/(1-y) in the equation P(3,y) to check whether the statement is true or false. yP(3,y) is false.yP(x, y): This statement is true since for any value of x and y, the value of yP(x, y) will be equal to y(x + 2y) = xy + 2y^2, which is a valid value. yP(x, y) is true. xP(x, y): This statement is also true since for any value of x and y, the value of xP(x, y) will be equal to x(x + 2y) = x^2 + 2xy, which is a valid value.P(x, y): This statement is true since for any value of x and y, the value of P(x, y) will be equal to x + 2y = xy, which is a valid value.Thus, the truth values of the given statements are:
P(1,-1) is true P(0,0) is true yP(3,y) is false y P(x, y) is true xP(x, y) is true.
P(x, y) is true
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the ratio the ratio of two numbers is 5:6 . find the sum of two numbers is 55. find the number
Answer:
25 and 30
Step-by-step explanation:
Given the ratio of 2 numbers is 5 : 6 = 5x : 6x ( x is a multiplier ), then
5x + 6x = 55, that is
11x = 55 ( divide both sides by 11 )
x = 5
Thus
5x = 5 × 5 = 25
6x = 6 × 5 = 30
Then the 2 numbers are 25 and 30
3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
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1-/1 Points) DETAILS MY NOTES ASK YOUR TEACHER R) - 2 for 2*57how maybe PRACTICE A Need Help? (-/2 Points) DETAILS MY NOTES ASK YOUR TEACHER PRACTICE AN Does the function is the hypothesis of the Moon
I'm sorry, but I'm having trouble understanding your question. It seems to be a combination of incomplete sentences and unrelated statements.
Can you please provide more context or clarify your question so that I can assist you better?
I apologize for the confusion. However, based on the provided statement, it is difficult to identify a clear question or topic. The statement appears to be a mix of incomplete sentences and unrelated phrases. Can you please rephrase or provide more information so that I can better understand what you are looking for? Once I have a clear understanding, I will be happy to assist you.
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Combine the like terms to create an equivalent expression:
-k-(-8k)
Answer and Step-by-step explanation:
We are given the terms -1, k, -1, -1, and 8k.
Here is where those terms are found.
-1(k) -1( -1(8k) )
Distribute all of the negative ones.
-k -(-8k)
-k + 8k _*
* How did we get positive 8k?
- When multiplying two negative numbers, which in this case was -1 and -8k, the result is positive. Thus, giving us positive 8k.
Now, combine like terms.
7k
The answer is 7k.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Simplest 1/2 divided 1/3
Answer:
1/2×3/1
3/2 is the answer for your question I hope it is correct
What is the volume of the composite figure?
(Use 3. 14 for. ) Do NOT round your answer.
. 8 in.
16 in.
9 in.
11 in.
11 in.
V = [?]in. ³
3
Hint: Vo= r². H
Enter
The volume of the composite figure is approximately 2,405.33 \(in^{3}\) . It's difficult to visualize the composite figure you're referring to without a diagram, but I will assume that it consists of a cylinder of radius 8 in and height 16 in, on top of a hemisphere of radius 8 in.
The volume of a cylinder is given by the formula V = π\(r^{2}\)h, where r is the radius and h is the height. So, the volume of the cylinder is
V_cyl = π(\(8 in)^2\)(16 in) = 2,048π \(in^{3}\).
The volume of a hemisphere is given by the formula V = (2/3)π\(r^{3}\). Since we only need half of the hemisphere, we'll divide this formula by 2 to get
V_hem = (1/3)π\((8 in)^3^\) = 2,144/3π \(in^{3}\).
The total volume of the composite figure is the sum of the volume of the cylinder and half the volume of the hemisphere.
Therefore, V_total = V_cyl + V_hem/2 = 2,048π + 2,144/6π = (12,288π + 2,144π)/6 = 14,432π/6 = 2,405.33... \(in^3\) (using π ≈ 3.14).
So, the volume of the composite figure is approximately 2,405.33 \(in^3\).
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A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.
Which system of linear equations represents the beverage sales on Saturday?
c = 4 times h
Linear equation: 1.5c + 2h = 360
Hello!
Your answer should be..
c=4h ( as there are 4 hours )
1.5c+2h=360
c is 1.50 and h is 2.00 so you must add them to reach 360
Hope this helps! :)
pls help me solve pls show how you got the answer
Answer:
Square root of 77.44 = height and length of gray squares = 8.8 cm
Since there are 3 squares that make up the height of that object 8.8 cm * 3 =
26.4 cm (the height of 3 gray squares
Square root of 4.84 = 2.2 cm
So the total height = 26.4 + 2.2 = 28.6 cm
Step-by-step explanation:
Three polynomials are factored below but some coefficients and constants are missing. all of the missing values of a, b, c and d are integers. 1. x^2 +2x-8=(ax+b)(cx+d) 2. 2x^3+2x^2-24x=2x(ax+b)(cx+d) 3. 6x^2-15x-9=(ax+b)(cx+d) Fill in the table with the missing values of a,b,c and d.
For the first polynomial " \(x^2 +2x-8=(ax+b)(cx+d)\) " a=1,b=-2,c=1, and d=4.
For second polynomial "\(2x^3+2x^2-24x=2x(ax+b)(cx+d)\)" a = 1, b = -3, c = 1, and d = 4.
For the third polynomial" \(6x^2-15x-9=(ax+b)(cx+d)\) " a = 2, b = 1, c = 1, and d = -3.
In the table values of the coefficient for the first polynomial are a=1,b=-2,c=1 so d=?.
\(x^2 +2x-8=(ax+b)(cx+d)\\\\ x^2 +2x-8=acx^2+(ad+bc)x+bd\)
comparing coefficients on both sides
ac=1 ; ad+bc=2 ;bd=8
putting values in ad+bc=2 to get the value of d.
(1)d+(-2)(1)=2
d=2+2
d=4.
depending on the value of coefficients in your table you can calculate the value of the second and third polynomials.
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Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district.
In words, define the random variable X
a. the number of teachers in the district
b. the number of teachers in an elementary school in the district
c. the number of elementary schools in the district
d. the salary of an elementary school teacher in the district
The random variable X represents the number of teachers surveyed from the district. The random variable X does not represent the number of teachers in an elementary school in the district, the number of elementary schools in the district, or the salary of an elementary school teacher in the district.
a. The random variable X represents the number of teachers surveyed from the district.
In this scenario, the random variable X is used to represent the count or number of teachers surveyed. It represents the outcome of the random process of selecting teachers from the district for the survey. The value of X can range from 0 (if no teachers were selected) to 10 (if all ten teachers were selected).
b. The random variable X does not represent the number of teachers in an elementary school in the district.
The random variable X in this context refers to the number of teachers surveyed, not the number of teachers in an elementary school. It represents the outcome of the survey, which can vary from 0 to 10 depending on the number of teachers selected.
c. The random variable X does not represent the number of elementary schools in the district.
The random variable X in this scenario specifically relates to the number of teachers surveyed, not the number of elementary schools. It is focused on the individuals being sampled, rather than the institutions or schools.
d. The random variable X does not represent the salary of an elementary school teacher in the district.
The random variable X is used to denote the count or number of teachers surveyed, not their individual salaries. It pertains to the sampling process and the number of teachers chosen, rather than any specific salary values.
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HELP MEHH PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
A,D, and E
Step-by-step explanation:
The answers are A D and E
A machine in a shoe factory produces shoelaces. The number of shoelaces It produces is proportional to the time. It can
produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your
answer, make sure to define the varlables you used?.
Let's define the following variables :
Let N be the number of shoelaces produced.Let t be the time taken to produce N shoelaces.We are told that the number of shoelaces produced is proportional to the time taken to produce them. This means that there is a constant of proportionality that relates N and t. Let's call this constant k.
Using the information that the machine produces 12 shoelaces in 3 minutes, we can set up the following equation:
12 = k * 3
We can solve for k by dividing both sides by 3:
k = 4
So the equation that represents the proportional relationship between the number of shoelaces produced and the time taken to produce them is:
N = kt
Substituting k = 4, we get:
N = 4t
This equation means that for every unit of time (in minutes) that passes, the machine produces 4 shoelaces.
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PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D
Answer:
a is my end result. hope that was right
The theoretical probability of rolling an even number is one-half.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.
In this case, we have 3 even outcomes: 2, 4, and 6.
Therefore, the probability of rolling an even number on a fair die is:
P(even) = number of even outcomes / total number of outcomes
P(even) = 3 / 6
P(even) = 1/2
Thus,
The theoretical probability of rolling an even number is one-half.
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The hypotenuse and one leg of a right triangle measure 26 and 10, respectively. Find the measure of the third side. Which theorem is used to find the answer?
How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge
Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
Given the points A: (-5,1,4) and B: (3,-1,6), find the vector ä = AB
Therefore, the vector ä = AB is (8, -2, 2). To find the vector ä = AB, we simply subtract the coordinates of point A from the coordinate
To find the vector AB (also denoted as vector ä) between the points A (-5, 1, 4) and B (3, -1, 6), we need to calculate the difference between the coordinates of point B and point A. This can be done using the formula: AB = (Bx - Ax, By - Ay, Bz - Az).
Using the given coordinates, we have:
Ax = -5, Ay = 1, Az = 4
Bx = 3, By = -1, Bz = 6
Now, we'll apply the formula to find the components of vector AB:
ABx = Bx - Ax = 3 - (-5) = 8
ABy = By - Ay = -1 - 1 = -2
ABz = Bz - Az = 6 - 4 = 2
So, the vector AB (or vector ä) is given by:
AB = (8, -2, 2)
Thus, the vector connecting points A and B has components (8, -2, 2).
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Which equation matches the graph
Answer:
C
Step-by-step explanation:
You can see from the graph that everytime x goes up by 1, y goes down by 4, so the slope is -4.
The y-intercept is at -1
This means that the equation would be C. y = -4x - 1
How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
Answer:
The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:
Area of a semicircle = 21πr2, where r is the radius of the circle.
Area of a trapezoid = 21(b1+b2)h, where b1 and b2 are the bases and h is the height of the trapezoid.
Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.
Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.
Step-by-step explanation:
The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as: 1/2 x sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The given figure can be decomposed into the following figure.
- Semicircle
- Trapezoid
- Two rectangles
Thus,
A semicircle, a trapezoid, and two rectangles.
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Amplitude of y= sin 5x
The amplitude of the function f(x) = sin(5x) is 1
How to determine the amplitude of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = sin(5x)
A sinusoidal function is represented as
f(x) = Asin(B(x + C)) + D
Where
Amplitude = A
Period = 2π/B
So, we have
A = 1
Period = 2π/5
Evaluate
A = 1
Period = 2π/5
Hence, the amplitude is 1
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Please helppp, I forgot how to do this
Answer:
Your answer is correct, (-6, -4, 0, 2, 6).
Explanation:
Take the equation 3/2x+8
Then take each number and plug it in for "x".
For example:
3/2(6) + 8 = -1
or you can change the fraction into a decimal to make it easier...
1.5(6)+8=-1
Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?
2
3
4
5
Answer:
5 months
Step-by-step explanation:
Make the question into an equation where the cost of one gym equal to the cost for the other.
60x = 100 + 40x
x represents how many months
20x = 100
x = 5
It would take 5 months of membership for the costs to be the same.
The answer is 5 months.
How to make a linear equation?The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.
How to solve a linear equation?To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.
The solution to the given problemLet the number of months taken be 'x'
SO the community fitness takes 60x money for x months
The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.
so equating the equation to find the value of x.
100+40x = 60x
Transposing 40x from LHS to RHS
100=60x-40x
20x = 100
Dividing the equation by 20 on both sides
x = 5
The membership costs will equal in 5 months.
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The selling price of a shirt is $72.50. This includes a tax of 9%. Calculate the price of the shirt before the tax was added.
The table shows the number of cups of water required
when cooking different amounts of rice.
Which statements apply to the ratio of rice and
water? Choose two options.
Amount of Amount of
Rice Water
(cups) (cups)
2.
5
3
7.5
5
12.5
8
20
The amount of rice is the dependent value
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or
independent without a given equation.
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The way the statement is worded, and considering that Rice is the first column of the table, we conclude that Rice is the independent quantity. Then water is the dependent quantity: its amount depends on the amount of rice.
Answer:
B. The amount of water is the dependent value.
C. The amount of rice is the independent value.
Step-by-step explanation:
Help me please with this assignment
Given:
Let the cost of chocolate bar be 'x'.
\(\text{Cost of Peanut butter bar=x+0.07}\)\(\begin{gathered} 5(x+0.07)+6(x)=6.40 \\ 5x+0.35+6x=\text{6}.40 \\ 11x=6.40-0.35 \\ x=\frac{6.05}{11} \\ x=0.55 \end{gathered}\)Cost of chocolate bar is $0.55
NEED help plz plz don’t be shy
Answer:
The bike will travel about 75 feet when the wheel makes 15 complete rotation
The wheel will make 8 rotations if Noha rides 40 feet
Step-by-step explanation:
The distance that a wheel can make in one rotation equal the circumference of the wheel
D = C × n, where
D is the distanceC is the circumferencen is the number of the complete rotationLet us use this fact to solve the question
∵ The circumference of the wheel C = 5 feet
∵ The wheel makes 15 complete rotation
→ Substitute them in the rule above to find the distance
∵ D = 5 × 15
∴ D = 75 feet
The bike will travel about 75 feet when the wheel makes 15 complete rotation
∵ Noha rides for 40 feet
∴ D = 40
∵ C = 5 feet
→ Substitute them in the rule above to find the number of the rotation
∵ 40 = 5 × n
∴ 40 = 5n
→ Divide both sides by 5 to find n
∴ \(\frac{40}{5}=\frac{5n}{5}\)
∴ 8 = n
The wheel will make 8 rotations if Noha rides 40 feet
Andre and scott share the driving on a trip. Scott drives 7 miles more than three times tge distance Andre drives. If the trip is 111 miles, what distance did scott drive?
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
Answer:
Scott drove 89.5 miles.
Step-by-step explanation:
Represent Andre's distance by a and Scott's by s. Then s = 3a + 7.
Then the total distance driven by both is a + 3a + 7 = 117 (miles), or
4a - 110 miles, or a = 27.5 miles. Thus, s = 3(27.5) + 7 = 89.5 miles.
Expand 8(x-5) I really need the answer!!
8(x-5)
multiply the bracket by 8
(8)(x)=8x
(8)(-5)=-40
answer:
8x-40
Answer:
8x-40
Step-by-step explanation:
im not too sure what answer you're liking for here so 8•x is 8x and 8x5 is 40
herry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Add 8 positive unit tiles to both sides and create zero pairs.
What is the equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Here, we have
Given:
Herry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
x + (- 8) = 3 x + 6
x- 8 = 3x +6
First,
Add 8 positive unit tiles to both sides
x- 8 + 8 = 3x +6 + 8
x= 3x +14
This creates pair
3x-x = -14
x= -7
Hence, add 8 positive unit tiles to both sides and create zero pairs.
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