The plumber bought 5 pieces of copper wire and 5 pieces of plastic wire.
What is an equation?
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.
Length of each piece of copper wire = 6 m
Length of each piece of plastic wire = 1 m
Total number of pipes bought = 10
Total length of pipes = 35 m
Let the number of copper pipes be x.
Let the number of plastic pipes be y.
The equation for number of pipes will be -
x + y = 10...(1)
The equation for length of pipes will be -
6x + y = 35...(2)
Subtracting equation (1) from (2) -
5x = 25
x = 5
Substituting the value of x in equation (1) -
5 + y = 10
y = 10 - 5
y = 5
Therefore, the number of copper and plastic wires is 5 each.
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Anne has opened up a systematic savings account into which she deposits $500 per month compounded monthly at a rate of 7.8%. How long will it take her to reach $500,000? Round your answer to the nearest tenth of a year.
Help, please!! I need a step-by-step tutorial. Or just the formula and how is set up. Thank you <33
Answer:
Step-by-step explanation:
The formula for calculating the time it takes to reach a target amount with a constant periodic deposit is given by
Time = ln(Target Amount / (Periodic Deposit x (1 + Interest Rate)^0)) / ln(1 + Interest Rate)
In this case, we have Target Amount = 500,000, Periodic Deposit = 500, and Interest rate = 7.8%. Plugging the values into the formula gives
Time = ln(500,000 / (500 x (1 + 0.078)^0)) / ln(1 + 0.078)
Time = ln(500,000 / 500) / ln(1.078)
Time = ln(1,000) / ln(1.078)
Time = 8.98 years
Rounding to the nearest tenth of a year, the answer is 8.9 years.
Read the following information carefully and answer the questions that follow.
Jess runs a business which makes and distributes frozen chips to restaurants and hotels
in her local area. She buys potatoes from Johnson's, a local farm. The business spends
£50 000 each year on fixed costs. In 2018, the total variable costs came to £0.85 per kg
of chips and each packet of chips was sold for £1.80 per kg. Using these figures and her
actual sales in 2018 Jess worked out her break-even level of output and her margin of safety.
a) Calculate Jess's break-even level of output for 2018.
Give your answer to 3 significant figures.
Show your working.
Answer:
Let's use the same information as above to show how a formula can be used to quickly calculate the break-even output.
Remember contribution per unit? Here is a reminder of this crucial and really useful formula:
Contribution per unit = selling price per unit less variable cost per unit
In our example, contribution per unit = £10 less £4 = £6 per unit
Now apply the classic formula for calculating breakeven output:
Break-even output (units) = Fixed costs (£) / Contribution per unit (£)
So, break-even output = £40,000 divided by £6 = 6,666 units
Note: break-even output is always expressed in terms of units
So break-even output = 6,666 units
If the information is available, it is always quicker and easier to use this formula rather than use a table or draw a chart.
A Pupil got to school by 7:30 am and left by 2:20pm. How many minutes did he spend in the school? Leave your answer in minutes.
Answer: Timespan is 410 minute(s).
Step-by-step explanation:
In Wisdom Mind School, the front bell rings every 25 minutes, while the back
bell rings every 35 minutes. If they were set at the same time, after how many
minutes will they ring at the same time?
Answer:
175 mins
Step-by-step explanation:
LCM of 25 and 35 is 175 which is when the next bell together will happen.
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 4, 5, 6, 7, …
The expression that describes the sequence is 3 + n.
How to write expression of a sequence?Let's use an expression to describe the sequence as follows:
4, 5, 6, 7....
The sequence follows an arithmetic patterns. Therefore, let's use an arithmetic progression formula to express the sequence.
Hence,
a + (n - 1)d = nth term
where
a = first termd = common differencen = number of termsTherefore,
a = 4
d = 5 - 4 = 1
Hence,
nth term = 4 + (n - 1)1
nth term = 4 + (n - 1)
nth term = 4 + n- 1
nth term = 3 + n
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u) A man working in a firm gets monthly Salary of Rs 65 000 Read the tax rates given below and answer the following question (Annual income 450,000 Cupto 450.000) 450,001 -5,50,000 5,50,001 - 7.50,000 7,50, 001-20, 00,000 Soln Tax rate 1% 10%. 20%. 30%
The annual salary of the man is Rs 780,000 and his total taxes is given by the relation T = Rs 9,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Since the man's monthly salary is Rs 65,000, his annual salary would be:
Annual salary = Monthly salary x 12
Annual salary = 65,000 x 12
Annual salary = 780,000
His annual salary of Rs 780,000 falls in the third tax bracket which is from 750,001 to 2,000,000.
So, the tax rate applicable to him would be 30%.
To calculate the amount of tax he would have to pay, we can use the formula:
Tax amount = Tax rate x Taxable income
where taxable income is the income above the lower limit of the tax bracket.
In this case, the taxable income would be:
Taxable income = Annual income - Lower limit of tax bracket
Taxable income = 780,000 - 750,001
Taxable income = 29,999
So, the amount of tax he would have to pay would be:
Tax amount = 30% x 29,999
Tax amount = 8,999.7
Rounding this to the nearest rupee gives us:
Tax amount = Rs 9,000
Hence , the man would have to pay Rs 9,000 in taxes on his annual salary of Rs 780,000.
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A line passes through the point (2, 7) and has a slope of 8. Write an equation in slope-intercept form for this line.
The slope-intercept form of the equation of the given line which passes through the point (2, 7) and has a slope of 8 is:
y = 8x - 9
What is meant by slope-intercept form of the line equation?
The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b). One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis) are known, the slope-intercept formula can be used to determine the equation of a line. The equation of a line is the equation that each point on the line fulfils.
Given the line passes through a point (2,7) and the slope is 8.
When a point on the line and slope are given, the equation of the line is:
y - y₁ = m ( x - x₁)
m = slope = 8
Substituting,
y - 7 = 8 ( x - 2)
y - 7 = 8x -16
y = 8x - 9
Therefore the slope-intercept form of the equation of the given line is:
y = 8x - 9
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(PLEASE HELP!) Complete the following transactions and explain how they would appear in your register.
• Your beginning balance on October 1 is $542.89.
• You pay Land Electric $43.90 on October 7. (Check #400)
• You deposit your paycheck on October 23 ($7.25/hour for 40 hours/wk for 2 weeks with deductions of FICA (7.65%), federal withholding (12%), and state withholding (8.75%).
• You buy $78.54 plus 6% sales tax in clothes from FitRight on October 24 using your debit card.
Be sure to include in your response:
• the steps you followed to complete your computations.
• the balance as of October 24
•the process for entering the transaction in the registry
Answer:
To complete the transactions in your register:
Beginning balance on October 1: $542.89
On October 7, you pay Land Electric $43.90. This is a check transaction and the check number is 400. To record this in your register, you would subtract $43.90 from your current balance, which would bring your new balance to $498.99.
On October 23, you deposit your paycheck. To calculate your paycheck, you would multiply your hourly wage ($7.25) by the number of hours worked (40) by the number of weeks (2). This would give you a gross pay of $1140. Then, you would calculate the deductions: FICA (7.65%), federal withholding (12%), and state withholding (8.75%). To do this, you would multiply your gross pay by the percentage for each deduction and then subtract that amount from the gross pay. Your final paycheck would be $1140 - $87.41 (FICA) - $136.8 (federal withholding) - $100.65 (state withholding) = $815.34. To record this in your register, you would add $815.34 to your current balance, which would bring your new balance to $1314.33
On October 24, you buy $78.54 in clothes from FitRight and pay 6% sales tax. To calculate the sales tax, you would multiply $78.54 by 0.06 and add that amount to the total cost of the clothes. The total cost of the purchase including sales tax would be $78.54 + $4.71 = $83.25. To record this in your register, you would subtract $83.25 from your current balance, which would bring your new balance to $1231.08
The balance as of October 24 would be $1231.08
In the register
10/1 Beginning balance $542.89
10/7 Check #400 Land Electric -$43.90
10/23 Paycheck $815.34
10/24 Debit FitRight -$83.25
Ending balance $1231.08
Step-by-step explanation:
ABOVE
PLS HELP TANK YOUUUUU
Answer:
Step-by-step explanation:
a. 47 men
b. 24 men like soda
c. 23 men do not like soda
d. 61 women
e. 26 women like soda
f. 35 women do not like soda
a) Find the standard formula of the equation of a circle that has a center of (-4,-2) and contains the points (-1,2).
B) find the general formula.
Answer:
A) The standard formula of the equation of a circle that has a center of (-4,-2) and contains the points (-1,2) is (x + 4)2 + (y + 2)2 = 25.
B) The general formula for the equation of a circle is (x - h)2 + (y - k)2 = r2, where (h,k) is the center of the circle and r is the radius.
A function f(x)=^3√x is transformed into the function g (x) = 2^3√x-4+5. Name and explain in
complete sentences the transformations that occurred to the parent cube root function.
The required transformations are
f(x) is shifted 5 units to the right andf(x) is shifted 5 units upWhat is function?A function is a mathematical equation which shows the relationship between two variables.
What is transformation?Transformation is the performing of the mathematical operations of dilation, translation, relection and rotation on a function.
How to describe the transformation?Given the function [tex]f(x) = 2^{3\sqrt{x} }[/tex] which is transformed into the function [tex]g(x) = 2^{3\sqrt{x - 4}} + 5[/tex], we describe the transformations as follows.
First Since we have x - 4, [tex]f(x) = 2^{3\sqrt{x} }[/tex] is shifted four units to the right. So, we have , [tex]g(x) = 2^{3\sqrt{x - 4}}[/tex].
Also, since 5 is added to [tex]g(x) = 2^{3\sqrt{x - 4}}[/tex]. [tex]g(x) = 2^{3\sqrt{x - 4}}[/tex]. is shifted 5 units up to get [tex]g(x) = 2^{3\sqrt{x - 4}} + 5[/tex],
So, the required transformations are
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Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily
be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your
estimate when compared to the actual answer?
348 +598
Round the two numbers to the nearest ten. An estimate of the sum is
an example
Get more help.
Clear all
Answer: The answer to the computation 348 + 598 is 946.
Step-by-step explanation:
To obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.
348 rounded to the nearest ten is 350
598 rounded to the nearest ten is 600
So, our estimate for the sum of 348 + 598 is 350 + 600 = 950
Using a calculator, the actual computation is 348 + 598 = 946
Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.
Answer:
Nose inglés lo siento xdddddddddddddddddddddd
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
The function that is positive for the entire interval [-3, -2] is given as follows:
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0).
When is a function positive over an entire interval?A function is positive over an interval if the values of y of the function are above zero for the entire interval.
A function is negative over an interval if the values of y of the function are below zero for the entire interval.
For the function in this problem, we have that:
It is a concave up parabola with roots at x = -1 and x = 5.The minimum value is at x = 2.As the function is concave up, it is positive to the left of the smaller root at x = -1, that is, positive for all x < -1, hence the correct option.
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pls help. I've been stuck on this question and I just cannot find the answer. Pls help
Answer:
(g+f)(x/4) = x^2/16 + 3x/4
Step-by-step explanation:
To find (g+f)(x/4), we must first find the expressions for g(x) and f(x) and then add them together.
g(x) = x^2 + 4
f(x) = 3x - 4
So (g+f)(x) = g(x) + f(x) = x^2 + 4 + 3x - 4 = x^2 + 3x + 0
Now we can substitute x/4 for x in the expression:
(g+f)(x/4) = (x/4)^2 + 3(x/4) + 0
Multiplying it out
(g+f)(x/4) = (x^2/16) + (3x/4) + 0
so (g+f)(x/4) = x^2/16 + 3x/4
The quadrilateral DEFG,show. On the coordinate plane below is dilated from the origin by a space factor r= 2/3. Identify the coordinates of the dilated figure D^1 E^1 F^1 G^1 and the draw and label on the coordinate plane
Resizing or changing an object is the process of dilation. Through the use of the specified scale factor, it is a transformation that reduces or enlarges the objects.
What is Dilation Geometry?The pre-image refers to the original figure and the new figure that results from dilation is known as the image. Two forms of dilation exist:An object's size expands when it undergoes expansion.When an object gets smaller, the process is called contraction.The following illustration, which depicts a square dilating, should be noted. However, the square's shape doesn't change; rather, its size is raised.In mathematics, dilation is the process of modifying an object's or shape's size without altering its shape. The form could be a point, a section of a line, a polygon, etc. It should be noted that while the shape can be altered in size, the proportions of its various dimensions and angles never change.The angles are the same when PQR is increased to P'Q'R. After dilatation, the vertices of the PQR have new coordinates.P(1,3) → P' (3,9) (3,9)
Q(3,1) → Q' (9,3) (9,3)
R(1,1) → R' (3,3) (3,3).
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A human resource manager is researching the entry-level salary for a technician position. He determines that other companies in the area are paying $15.50, $16.85, $14.25 and $15.95 per hour. What is the average pay for an entry-level technician position?
The average pay for an entry-level technician position is $15.6375.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean
The formula for the mean of a given set of data is as follows:
Average = Sum of Observations/Total number of observations
Σx = 15.50 + 16.85 + 14.25 + 15.95 = 62.55
Here n = 4
⇒ Average = Σx/n
⇒ Average = 62.55/4
Apply the division operation, and we get
⇒ Average = 15.6375
Thus, the average pay is $15.6375.
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Dilate the figure by the scale factor. Then enter new coordinates.
The new coordinates after dialting using scale factor are , A ' ( -21, 14 ) ,
B ' ( 28, 14 ) and C ' ( -7, -7 ) .
What is a graph ?
Graph can be defined as the visual representation which is used to represent the data.
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as (x, y) -> (7x, 7y)
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
Hence, The new coordinates after dialting using scale factor are , A ' ( -21, 14 ) , B ' ( 28, 14 ) and C ' ( -7, -7 ) .
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national honors society is selling tickets to a winter wonderland fundraiser. the auditorium holds 300 people. tickets cost 10$ at the door and $7.50 if purchased in advance. the drama club has a goal of selling at least $1,200 worth of tickets to saturdays show write a system of inequalities that can be used to model the scenerio
A system of inequalities that can be used to model the scenario is d + a ≤ 300 and 10d ≥ 1,200.
What is a system of inequalities?A system of inequalities is two or more inequalities that must be proved simultaneously.
A system of inequalities contains at least two linear inequalities in the same variables.
Systems of inequalities are applied when there are a range of solutions and more than one constraint.
Inequalities may include greater than, less than, not equal to, equal to but less than, and equal to but greater than.
The total capacity of people the auditorium can hold = 300
The cost per ticket at the door = $10
The cost per ticket in advance = $7.50
Constraints:Tickets cannot exceed 300
Door tickets must generate at least $1,200
Inequalities:Let the number of tickets sold at the door = d
Let the number of tickets sold in advance = a
10d + 7.5a ≤ 300
10d ≥ 1,200
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Find the value of X that satisfies the two equations y = 2x + 2 and y = 4x - 4 simultaneously.
Answer:
x=3
Step-by-step explanation: I'm not 100% if this is it because it's been awhile but I believe that you write 2x+2=4x-4 to solve for x since they're both y=mx+b equations. After solving it you would get 3
What is the image point of (2,8) after the transformation rx-axis D₂?
After transformation, the point (-1,2) in the image would be (-1,-2)
What is composition of transformations?Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.
First, we must mirror the point (-1, 2) around the line y=-x.
(X, Y) is the rule (-y,-x)
you obtain (-1,2)—>(-2,1) (-2,1)
At this point, you must rotate (-2,1) by 90 degrees.
(X, Y) is the rule ( -y,x)
so (-2,1)—> (-1,-2) (-1,-2)
After transformation, the point (-1,2) in the image would be (-1,-2)
The complete question is,
What is the image point of (-1,2) after the transformation R 90° ry=-x
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how do find the factors of a fraction Example 3 1/2 (unit rate, proportionality)
The factors of a fraction 3 1/2 is 3/2.
What are the factors?Generally, A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another number to generate n. Another name for this concept is a factor of n. One may also state that n is a multiple of m in this particular scenario.
Since 3/2 is a fraction, it does not have any factors since factors are integers that may evenly divide a number. Since 3/2 is a fraction, it does not have any factors. Only integers are capable of having factors; fractions are unable to do so.
To find the factors of a fraction, you can factor the numerator and denominator separately.
In the case of 3 1/2, the numerator 3 is a prime number and cannot be factored further.
However, the denominator 2 can be factored as 2 x 1.
Therefore, the factors of 3 1/2 are: (3 x 1) / (2 x 1),
which can be simplified to 3/2.
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Suppose Kristen is researching failures in the restaurants business
The standard deviation of the number of restaurants that failed within a year is 3.46.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the probability that an independent restaurant will fail in the first year is 48%. Therefore, the probability can be written as,
p = 48% = 0.48
q = 1-p = 1-0.48 = 0.52
Also, Kristen obtains a random sample of 66 independent restaurants that opened in her city more than one year ago and determines if each one had closed within a year. Therefore, the sample size is 53.
n = 53
Now, the standard deviation can be calculated as,
Standard deviation, σ = √(npq)
= √(53 × 0.48 × 0.52)
= √11.9808
= 3.46
Hence, the standard deviation is 3.46.
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Write an equation in slope-intercept form for the line with slope 5 and y-intercept -9.
Answer: y= 5x - 9
Hope this will help
Answer:
y=5x-9
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y intercept all you have to do is replace m and b with the numbers associated in the problem this case since 5 is the slope you put it where m is, and b being the y-intercept you put the -9 there!
two times a number y
Answer: Two times a number y would be represented mathematically as 2*y. It means that a number y will be multiplied by 2 to get the result.
Add the expression (8.5+ 6.25m) and (12 +3.75m).
After adding the expressions (8.5+ 6.25m) and (12 +3.75m) the value is obtained as (20.5 + 10m).
What is an expression?
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The first expression is - (8.5+ 6.25m)
The second expression is - (12 +3.75m)
Apply the addition operation on the expressions -
= (8.5+ 6.25m) + (12 +3.75m)
= 8.5 + 6.25m + 12 + 3.75m
= 8.5 + 12 + 6.25m + 3.75m
= (20.5 + 10m)
Therefore, the value is obtained as (20.5 + 10m).
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Please help ASAP!!!!
Answer:152+n
Step-by-step explanation:
152 for last year, n for this year. Add them together you get the answer for the total of pies in 2 years
I need this fast so plese help
The simplified expression of -7(3z + 5t - 3g) is -21z - 35t + 21g.
How to simplify an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators such as addition, subtraction, multiplication etc.
To simplify an expression means to write an equivalent expression which contains no similar terms.
Therefore, let's simplify the expression as follows:
-7(3z + 5t - 3g)
Hence, open the brackets
-7(3z + 5t - 3g) = -21z - 35t + 21g
Therefore, the simplified expression is -21z - 35t + 21g.
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Which of the following represents the strongest correlation?
A.) .00
B.) .34
C.) -.45
D.) -.28
Answer:
B. -0.45
Step-by-step explanation:
I'm assuming the values you have provided are pertaining to the correlation coefficient.
Correlation Coefficient:The correlation coefficient (r) is used to describe how strongly points are correlated and in which direction they are correlated. This correlation coefficient ranges between -1 and 1: [tex]-1\le r\le1[/tex]
If the correlation coefficient is negative, the correlation is down-sloped or in other words as the variable on the x-axis increases, the variable on the y-axis decreases.
If the correlation coefficient is positive, the correlation is upward-sloped or in other words as the variable on the x-axis increases, the variable on the y-axis also increases.
The strength of the correlation can be analyzed by the absolute value of the correlation coefficient (r). So if you want to compare two correlation coefficients and say which has a stronger correlation, you would first take the absolute value and then compare which is larger as such: [tex]|r|[/tex]
In this case the -0.45 is technically less than the 0.34, although the absolute value indicates it is a stronger correlation, just in a different direction. You can compare all the other options and -0.45 has the largest absolute value.
Given the functions f(x) = 4(2) and g(x) = f(x) + 3, which transformation would map
f(x) to g(x)?
Vertically shift the graph of f(x) up 3 units.
Vertically shift the graph of f(x) up 7 units.
Vertically shift the graph of f(x) up 4 units.
Vertically shift the graph of f(x) down 3 units.
Answer:
It may
Step-by-step explanation:
Vertically shift the graph of f(x) up 7 units.
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Describe the transformation from ΔABC to ΔA'B'C'. Is this a congruence or similarity transformation?
ΔABC: A(-3, 3), B(-3, 1)
ΔA'B'C': A'(6, 6), B'(6, 2), C'(2, 2)
From the coordinates we can see the rule for this transformation is:
(x, y) → (-2x, 2y)It is a dilation by a scale factor of 2 and reflection in the y-axis.
It means this is a similarity transformation, since the figure has changed its size.
Answer:
Dilation of scale factor 2 centered at the origin, followed by a reflection in the y-axis.
Similarity transformation.
Step-by-step explanation:
Given vertices of ΔABC:
A = (-3, 3)B = (-3, 1)C = (-1, 1)Given vertices of ΔA'B'C':
A' = (6, 6)B' = (6, 2)C' = (2, 2)From observation, the series of transformations the transforms ΔABC to ΔA'B'C' are:
Dilation of scale factor 2 centered at the origin.Reflection in the y-axis.This is a similarity transformation as the two triangles have the same shape but different sizes.
