13 square kilometers to square mile? Round to nearest tenth as needed
Answer:
5 square mile
Step-by-step explanation:
1 square km = 0.3 square mile
13 square km = 5.01 square mile
5.01 rounded equals 5
hope that helps <3
Elimination method.
Please help! Brainliest to whoever correct first!!! THANK YOU!
An equivalent expression for 4d⁻³/22d⁹ is: B. 2d⁻³/11d⁻⁹
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁹
Expression = 2d⁻³/11d⁹
By applying the law of indices, we have:
Expression = 2 × 1/11d(⁹ ⁻ ⁽⁻³⁾)
Expression = 2/11d¹²
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the spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true? A. The mean of data set X is greater than the mean of data set Y. B. The median of data set X is less than the median of data set Y. C. The standard deviation of data set X is greater than the standard deviation of data set Y. D. The range of data set X is less than the range of data set Y. E. The mode of data set X is greater than the mode of data set Y.
here u go I hope this is the answer ur looking for!
Please help ASAP! Help greatly appreciated with step by step solutions
The nth terms of the arithmetic sequences;
I. Tn = 3 + √2 + ( n - 1) √2
ii. Tn = 2/ √3 + ( n - 1) 1/ √3
How to determine the nth termThe formula for the nth term of an arithmetic sequence is expressed as;
Tn = a + ( n - 1)d
Where;
Tn is the nth terma is the first term n is the number of termsd is the common differencei. a = 3 + √2
d = √2
Substitute the values, we have;
Tn = 3 + √2 + ( n - 1) √2
ii. a = 2/ √3
d = 1/ √3
Substitute the value, we have;
Tn = 2/ √3 + ( n - 1) 1/ √3
Thus, the nth terms of the arithmetic sequences are Tn = 3 + √2 + ( n - 1) √2 and Tn = 2/ √3 + ( n - 1) 1/ √3 respectively
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Solve the following system of equations using either Gaussian elimination or a matrix. Write your answer as a point and explain how you would check your work:
By using Matrix method it denotes that the equations are consistent and have a single solution.
Matrix method, we will use the formula, [tex]X=A^{-1} B[/tex] where,
[tex]\[{\rm{X}} = \left[ {\begin{array}{*{20}{l}}x\\y\\z\end{array}} \right]\][/tex]
[tex]\[{A^{ - 1}} = \frac{{adjA}}{{|A|}}\][/tex]
[tex]\[{\rm{B}} = \left[ {\begin{array}{*{20}{c}}{33}\\{ - 26}\\{23}\end{array}} \right]\][/tex]
So, we will have to find [tex]A^{-1}[/tex], for that, we will first find the determinant of matrix A, that is |A|, then we will find the cofactors of matrix A, take its transpose, and that will be Adj A.
Therefore, we will be able to get the inverse of matrix A using
[tex]A^{-1}[/tex] =Adj A|A|
and hence We then substitute all the obtained values of [tex]A^{-1}[/tex] and B in the main formula and do necessary calculations to get the value of x, y and z accordingly.
Complete step-by-step answer:
It is given in the question that, we have to solve the system of equations,
2x-y+4z=33
X+2y-3z=−26
-5x−3y+5z=23
Applying the matrix approach.
Therefore, the first step is to convert the supplied equations into matrix form. Thus, it can be expressed as follows.
[tex]\[\left[ {\begin{array}{*{20}{c}}2&{ - 1}&4\\1&2&{ - 3}\\{ - 5}&{ - 3}&5\end{array}} \right]\left[ {\begin{array}{*{20}{l}}x\\y\\z\end{array}} \right]\]\[[/tex][tex]= \left[ {\begin{array}{*{20}{c}}{33}\\{ - 26}\\{23}\end{array}} \right][/tex]
[tex]\[|{\rm{A}}| = \left[ {\begin{array}{*{20}{c}}2&{ - 1}&4\\1&2&{ - 3}\\{ - 5}&{ - 3}&5\end{array}} \right]\][/tex]
= 2(10+9) + 1(5-15) + 4(-3+10)
= 38-10+28
=56
Since we have |A|≠0.
Hence, it denotes that the equations are consistent and have a single solution.
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For the season, a basketball player made 279 free throws out of 313 attempts. What percent is this?
Answer:
89.14%
Step-by-step explanation:
279 Out of 313 is 89.14%. Follow the below steps to calculate what percent is 279 out of 313 or how to write 279/313 as a percentage.
Step 1: Percentage Formula = Number 1/Number 2 x 100
Step 2: plugin the 279 and 313 to the percentage formula and we get 279/313 x 100 = 89.14%
A piece of wood was 12 feet long. Kendra cut the wood into pieces __
2
3 foot
long. How many pieces did Kendra make? State what strategy you will use
to answer the question, explain your choice, and then find the answer.
The number of pieces are 18 if the piece of wood was 12 feet long. Kendra cut the wood into pieces 2/3 foot.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A piece of wood was 12 feet long. Kendra cut the wood into pieces __
2/3 foot.
Let x be the number of pieces:
12/x = 2/3
x = 36/2
x = 18
Thus, the number of pieces are 18 if the piece of wood was 12 feet long. Kendra cut the wood into pieces 2/3 foot.
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Enter an inequality that represents the graph in the box.
Graph of a linear inequality on a coordinate plane. The horizontal x-axis ranges from negative 8 to 8 in increments of 2. The vertical y-axis ranges from negative 8 to 8 in increments of 2. A solid line passes through begin ordered pair 0 comma negative 6 end ordered pair and begin ordered pair 2 comma 2 end ordered pair. The region above the solid line is shaded.
The linear inequality represented by the given graph in the attached image is y > -3x + 6.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The graph of the linear inequality. Let's pick two points from the graph to frame the linear equation
The slope-intercept form of the equation is Where m is the slope and b is the y-intercept is (0,6) from the graph so b=6.
Find out slope m by using the general formula. Pick two points (0,6) and (2,0).
Slope = ( y₂ - y₁) / ( x₂ - x₁ )
Slope = ( 0 - 6 ) / ( 2 - 6 )
Slope = -3
m = -3
So the equation is y = -3x + 6
Now we check the inequality sign by testing any point on the shaded area let's pick (4,0). let's plug in 4 for x and 0 for y
y= -3x + 6
0 = -3(4) + 6
0 > -6
Inequality: y > -3x + 6.
Therefore, the inequality represented by the given graph is y > -3x + 6.
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Answer: y≥4x−6
Step-by-step explanation: I took the test and this was the right answer for me.
Solve for [x]. Each figure is a trapezoid.
*
Question 1
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]-16x+10x+86=180 \\ \\ 10x+70=180 \\ \\ 10x=110 \\ \\ x=11[/tex]
Question 2
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]9x+30+7x-10=180 \\ \\ 16x+20=180 \\ \\ 16x=160 \\ \\ x=10[/tex]
how many terms are in the sequence given of the following d=5,a1=-9 and an=141
The number of terms in the sequence with d=5 , a₁ = -9 and aₙ=141 is 31 terms.
Arithmetic Sequence
The nth term of the sequence { a , a+d , a+2d , ... , a+(n-1)d } is given by
aₙ=a+(n-1)d ...(i)
where , a = first term ,
d = common difference ,
n = number of terms ,
aₙ = nth term of the sequence .
It is given in the question that
first term (a) = -9
common difference (d) = 5
and nth term (aₙ) = 141
Substituting the values in equation (i) we get ,
141 = -9 + (n-1)5
simplifying further we get
141+9=(n-1)5
150 = 5n - 5
150+5 = 5n
155 = 5n
n=155/5
n=31.
Therefore , There are 31 terms in the sequence with d=5 , a1 = -9 and aₙ=141 .
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How to do this problem in the picture 8th grade math
Answer:
4.69 x 10⁵
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 469,000
New Number: 4.69000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 6 9 0 0 0
Decimal Count: 1 2 3 4 5
There are 5 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 4.69 (Please notice any zeroes on the end have been removed)
b = 5
Now the whole thing:
4.69 x 10⁵
Step 4
Check your work:
105 = 100,000 x 4.69 = 469,000
Answer: [tex]4.61 \times 10^5[/tex]
Reason:
The original number is 461,000 or 461000
Place a decimal point between the first two nonzero values. Erase the zeros and we get 4.61
To get back to 461000, we need to move the decimal point 5 spaces to the right. This is the exponent for the [tex]10^5[/tex] portion.
So [tex]461,000 = 4.61 \times 10^5[/tex]
(3x^-4)6/9x^-12 can you please solve? I’ll give brainly
The answer to this given simplification (3x^-4)6/9x^-12 is 2 x^8.
What are exponents?
The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. It could be an integer, a fraction, a negative integer, or a decimal. In this essay, let's study more about exponents.
given:
(3x^-4)6/9x^-12
=x^-4 . 3 . 6 / 9 . x^-12
= 2. x^-4 / x^-12
=2 x^8
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Pleaseeee
help me solve this
Answer:
x = 155°
Step-by-step explanation:
Given hexagon ABCDEF, you want to find the measure of interior angle E. Angles at vertices A, B, C, D, and F are specified.
Angle sumThe sum of the interior angles of an n-sided polygon is ...
angle sum = (n -2)180°
For the 6-sided polygon given, the sum of interior angles is ...
(6-2)180° = 720°
ApplicationThe interior angle at vertex B is 360° -80° = 280°.
The interior angle at vertex D is 180° -115° = 65°.
Then the sum of interior angles is ...
A +B +C +D +E +F = 720°
85° +280° +30° +65° +x +105° = 720° . . . . . substitute known values
565° +x = 720° . . . . . . . collect terms
x = 155° . . . . . . . . . . subtract 565°
__
Additional comment
The angles in the attached figure are drawn to scale.
An alternate solution might draw segment CX through vertex B so that the figure containing angle x has no reflex interior angles. Then the interior angles of pentagon ABXEF will total 540°. Known angles in that figure are A=85°, B=100°, X=95°, F=105°. Then E=x=540° -385° = 155°.
We took this approach initially, to verify that the angle sum of the given hexagon remained 720° even with the reflex interior angle at B.
A warehouse store sells 3.5-ounce cans of tuna in package of 3. A package of 3 cans costs $3.99. The store also sells 6.5-ounce cans in packages of 4 cans for $6.48. Which package is the best buy
Jorge wants to divide 3x2−x−2 by x + 4 using synthetic division. Which answer shows the correct process? Synthetic division problem with divisor negative four, and the dividends are three, negative one, and negative two. Under the negative one is negative twelve, and under the negative two is forty-four. Under the equals line are the numbers three, eleven, and forty-two. Image with alt text: Synthetic division problem with divisor negative four, and the dividends are three, negative one, and negative two. Under the negative one is negative twelve, and under the negative two is forty-four. Under the equals line are the numbers three, eleven, and forty-two. Synthetic division problem with divisor negative four, and the dividends are three, negative one, and negative two. Under the negative one is negative twelve, and under the negative two is fifty-two. Under the equals line are the numbers three, negative thirteen, and fifty. Image with alt text: Synthetic division problem with divisor negative four, and the dividends are three, negative one, and negative two. Under the negative one is negative twelve, and under the negative two is fifty-two. Under the equals line are the numbers three, negative thirteen, and fifty. Synthetic division problem with divisor four, and the dividends are three, negative one, and negative two. Under the negative one is twelve, and under the negative two is negative forty-four. Under the equals line are the numbers three, negative eleven, and negative forty-six. Image with alt text: Synthetic division problem with divisor four, and the dividends are three, negative one, and negative two. Under the negative one is twelve, and under the negative two is negative forty-four. Under the equals line are the numbers three, negative eleven, and negative forty-six. Synthetic division problem with divisor four, and the dividends are three, negative one, and negative two. Under the negative one is twelve, and under the negative two is negative fifty-two. Under the equals line are the numbers
The graph that shows the correct synthetic division process is given at the end of the answer.
How does synthetic division works?In synthetic division, the coefficients of a polynomial are each divided by a value.This value is the zero of the divided polynomial, which goes into the far left box.For this problem, we have that:
The divisor is: 3x² - x - 2, hence the coefficients are: 3, -1, -2.The dividend is: x + 4, hence the bottom left term is -4.Then, from the graph, we have that:
The first coefficient, 3 is pushed to the bottom of the table.Then, each bottom term is multiplied with -4(3 x -4 = -12) and added with the next coefficient to get the result.-1 - 12 = -13, -13 x -4 = 52.-2 + 52 = 50.Hence, the result of the division of 3x² - x - 2 by (x + 4) is 3x - 13 with a remainder of 50.
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A used car dealership reduced the price of a used compact car by 10%. If the price of the car before
discount was $18,500, find the discount and the new price.
The discount in price is $
Hint: Discount = Original Price x Percentage
Answer:1/1850
Step-by-step explanation: Davide 10% from 18500
100000000000000000000000000000000000000000000 x 22222222222222 =
Scientific e Notation: 2.2222222e+57
Scientific Notation: 2.2222222 x 10^57
Answer:
I am pretty sure the answer is 2.2222222e+57.
Gruman Company purchased a machine for $198,000 on January 2, 2017. It made the following estimates:
Service life 5 years or 10,000 hours
Production 180,000 units
Residual value $18,000
In 2016, Gruman uses the machine for 1,700 hours and produces 40,000 units. In 2017, Gruman uses the machine for 1,200 hours and produces 34,000 units. If required, round your final answers to the nearest dollar.
Required:
Compute the depreciation for 2016 and 2017 under each of the following methods:
a. Straight-line method
b. Sum-of-the-years'-digits method
c. Double-declining-balance method
d. Activity method based on hours worked
e. Activity method based on units of output
a. Straight-line method: $36,000 $36,000
b. Sum-of-the-years'-digits method: $60,000 $48,000
c. Double-declining-balance method: $79,200, $47,520
d. Activity method based on hours worked: $30,600, $21,600
e. Activity method based on units of output $40,000 $34,000
Straight-line methodb. Straight line method
Depreciation expense = (Cost of asset - Salvage value) / Useful life
Depreciation expense=( $198,000 - $18,000 ) / 5
Depreciation expense = $36,000
b. Sum-of-the-years'-digits method
Sum-of-the-year digits = (Remaining useful life / Sum of the years ) x (Cost of asset - Salvage value)
Sum of the years = (1 +2 +3 +4 + 5 )
Sum of the years = 15
Year 1 Depreciation expense = (5/15) × ( $198,000 - $18,000 )
Year 1 Depreciation expense = $60,000
Year 2 Depreciation expense = (4/15) x ( $198,000 - $18,000 )
Year 2 Depreciation expense = $48,000
c. Double-declining-balance method
Depreciation factor = 2 x (1/Useful life)
Depreciation factor =2 x(1/5)
Depreciation factor = 0.4
Year 1 Depreciation expense = 0.4 x $198,000
Year 1 Depreciation expense= $79,200
Year 1 Book value = $198,000 - $79,200
Year 1 Book value= $118,800
Year 2 Depreciation expense= 0.4 x $118,800
Year 2 Depreciation expense= $47,520
d. Activity method based on hours worked
Activity method = (Hours worked / Total machine hours) x (Cost of asset - Salvage value)
Year 1 Depreciation expense = (1,700 / 10,000) x ( $198,000 - $18,000 )
Year 1 Depreciation expense = $30,600
Year 2 Depreciation expense = (1,200 / 10,000) x ( $198,000 - $18,000 )
Year 2 Depreciation expense = $21,600
e. Activity method based on units of output
Activity method = (Output produced / Total machine output capacity) x (Cost of asset - Salvage value)
Year 1 Depreciation expense = ( 40,000 / 180,000) x ( $198,000 - $18,000 )
Year 1 Depreciation expense = $40,000
Year 2 Depreciation expense= ( 34,000 / 180,000) x ( $198,000 - $18,000 )
Year 2 Depreciation expense = $34,000
Therefore the Straight-line method is $36,000 $36,000.
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Use the graph below to answer. Find f(1)
Answer:
f(1) = 9
Step-by-step explanation:
where x is 1, y is 9
which of the following number lines shows the solution to the inequality given below? 3x + 1 <_ -11 or 4x - 3 > 9
The number line which shows the solution to the inequality is option C
Number lines which shows the solution to the inequality3x + 2 ≤ -11
or
4x - 3 > 9
3x + 2 ≤ -11
substract 2 from both sides3x ≤ -11 - 2
3x ≤ -13
divide both sides by 3x ≤ -13/3
x ≤ -4.33
or
4x - 3 > 9
Add 3 to both sides4x > 9 + 3
4x > 12
divide both sides by 4x > 12 / 4
x > 3
Ultimately, the answer to the inequalities is x ≤ -4.33 and x > 3
Therefore, the number line which shows the solution to the inequality is option C
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Joanne has a toy box. the box contains three toy cars two dollars and five balls. without looking is Joanne chooses a toy from the box what is the probability of not selecting a toy car
Answer:mkpewmg pmblembmfe
Step-by-step explanation:
7 t8gt385uhg
what’s the measure of angle SQT?
In ΔXYZ, ∠Y=90° and ∠X=60°. ∠ZWY=83° and XW=1.5. Find the length of ZY to the nearest 100th.
Applying the law of sines, the length of ZY to the nearest hundredth is: 3.30 units.
How to Apply the Law of Sines?sin X/x = sin W/w = sin Z/z [according to the law of sines].
Given:
Measure of angle X = 60°
Measure of angle Z (∠XZW) = 180 - 60 - (180 - 83) = 23°
x = WZ = ?
z = XW = 1.5
Plug in the values into sin X/x = sin Z/z
sin 60/WZ = sin 23/1.5
WZ = (sin 60 × 1.5)/sin 23
WZ = 3.32
Find ZY using the sine ratio;
sin ∅ = opp/hyp = ZY/WZ
sin 83 = ZY/3.32
ZY = (sin 83)(3.32)
ZY = 3.30
Therefore, applying the law of sines, the length of ZY to the nearest hundredth is: 3.30 units.
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Solve for x and show work
[tex] \longrightarrow \: - 4 + \frac{x + 4}{3} - 2 = 2(x + 1) \\ \longrightarrow \: { -4} + \frac{x}{3} + \frac{4}{3} - {2} = 2x + 2 \\ \longrightarrow \: { - 4}+ \frac{4}{3} - {2} - 2 = 2x - \frac{x}{3} \\ \longrightarrow \: -4 - 2 - 2 + \frac{4}{3} = 2x - \frac{x}{3} \\ \longrightarrow \: - 8 + \frac{4}{3} = 2x - \frac{x}{3} \\ \longrightarrow \: \frac{ - 20}{3} = \frac{5}{3} x \\ \longrightarrow \:\frac{ - 20}{3} \times \:3\: = 5x \\ \longrightarrow \:-20 = 5x\\\longrightarrow \:\frac{-20}{5} = x \\\longrightarrow \:x = - 4[/tex]
A probability experiment consists of rolling a 6-sided die. Find the probability of the event bel
rolling a number less than 5
The probability is
(Type an integer or decimal rounded to three decimal places as needed.)
The probability of rolling a number less than 5 is 0.667.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event asked. The value is expressed from zero to one. An outcome is a value we can obtain.
As we are given a 6-sided dice therefore,
Total possible outcomes = 6
Favorable outcomes (that is less than 5) = 4 [that are; 1, 2, 3, 4]
probability = number of favorable outcomes/number of possible outcomes
probability = 4/6
4/6 = 2/3
= 0.6666666666666
To round the value to three decimal places, we need to see if the fourth value after decimal is more than 5 or not. If it is more than 5, preceding digit is increased by 1. therefore, by applying the rule to the value we get
= 0.667 [rounded to three decimal places as needed]
therefore, the probability of the event given, that is rolling a number less than 5 is 0.667.
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Each marble bag sold by bill marble company contains 8 purple marbles for every 5 yellow marbles. If a bag has 64 purple marbles how many yellow marbles does it contain
Answer:
40 yellow marbles
Step-by-step explanation:
1. Divide 64 by 8 (Determine how many sets there are)
64/8 = 8
2. Multiply 8 by 5 (Because for every 8 purple marbles there are 5 yellow ones)
8*5 = 40
Monique has $48, then the following events happen, in order: • She earns $20 babysitting. • She spends $32. • She doubles her money doing chores.
Answer:
72
Step-by-step explanation:
$48 + $20 = $68
$68 - $32 = $36
$36 × 2 = $72
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The admission fee at an amusement park is $ 3.00 for children and $ 7.00 for adults. On a certain day, 297 people entered the park, and the admission fees collected totaled $ 1551 . How many children and how many adults were admitted?
There were _________________ children admitted.
There were _________________ adults admitted
Answer:
There were 132 children admitted.
There were 165 adults admitted.
Step-by-step explanation:
Given information:
Child admission fee = $3.00Adult admission fee = $7.00Total admissions = 297 peopleTotal admission fees collected = $1,551Define the variables:
Let x = number of children admitted to the park.Let y = number of adults admitted to the park.Create two equations from the given information and defined variables:
[tex]\textsf{Equation 1}: \quad x+y=297[/tex]
[tex]\textsf{Equation 2}: \quad 3x+7y=1551[/tex]
Solve the first equation for y:
[tex]\implies x+y=297[/tex]
[tex]\implies x+y-x=297-x[/tex]
[tex]\implies y=297-x[/tex]
Substitute the found expression for x into the second equation and solve for y:
[tex]\implies 3x+7y=1551[/tex]
[tex]\implies 3x+7(297-x)=1551[/tex]
[tex]\implies 3x+2079-7x=1551[/tex]
[tex]\implies 2079-4x=1551[/tex]
[tex]\implies 2079-1551-4x=1551-1551[/tex]
[tex]\implies 528-4x=0[/tex]
[tex]\implies 528-4x+4x=0 + 4x[/tex]
[tex]\implies 528= 4x[/tex]
[tex]\implies \dfrac{528}{4}= \dfrac{4x}{4}[/tex]
[tex]\implies x=132[/tex]
Substitute the found value of x into the expression for y and solve for y:
[tex]\implies y=297-x[/tex]
[tex]\implies y=297-132[/tex]
[tex]\implies y=165[/tex]
Therefore:
There were 132 children admitted.There were 165 adults admitted.Triangle PQR has vertices P (3,8), Q (-5, 7), and R (0, 2). What are the coordinates of the vertices of the image after a reflection in the y-axis?
A) P' (3,-8)
B) P (-3,8)
□C) Q' (5,7)
□D) Q' (5-7)
□E) R¹ (-2,0)
OF) R¹ (0,2)
After the picture is reflected along the y-axis, its vertices will have the coordinates P'Q'R.:
[tex]P' = (-3,8)\\Q' = (5,7)\\R'=(0,2)[/tex]
What is coordinates of the vertices?
The triangle's vertices' coordinates are [tex](x_{1} ,y_{1} )[/tex], [tex](x_{2},y_{2})[/tex], and [tex](x_{3},y_{3} )[/tex]. The line that connects the first two is split in the ratio l:k, and the line that runs from the division point to the opposing angular point is divided in the ratio m:k+l.
Given:
Triangle PQR and vertices of triangle are
[tex]P=(3,8)\\Q=(-5,7)\\R=(0,2)[/tex]
The following rule results in a reflection about the y-axis:
[tex](x, y) ---- > (-x, y)[/tex]
Using the rule on each of our vertices, we have:
[tex](3, 8) ---- > (-3, 8)\\(-5, 7) ---- > (5, 7)\\(0, 2) ---- > (0, 2)[/tex]
Therefore,
After the picture is reflected along the y-axis, its vertices will have the coordinates P'Q'R.
[tex]P' = (-3,8)\\Q' = (5,7)\\R'=(0,2)[/tex]
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