The line of reflection is the vertical line passing through (-5, 6), (-9, 6), (-9, 3), and (-7, 1).
What is line of reflection?A line of reflection is a line that acts as a mirror, reflecting a figure across it. Each point on the original figure is reflected over the line and the resulting image is the same size and shape as the original, but appears to be "flipped" or "mirrored" across the line of reflection. The line of reflection is the perpendicular bisector of the segment connecting each point on the original figure to its corresponding point on the reflected image.
In the given question,
To determine the line of reflection, we need to find the perpendicular bisector of each line segment between the point and its image.
First, we find the midpoint of the line segment between A and A': (A + A')/2 = (-3 + (-5))/2, (3 + 3)/2 = (-4, 3)
The perpendicular bisector of the line segment AA' is a vertical line passing through (-4, 3).
Similarly, we find the midpoints and perpendicular bisectors of the line segments BB', CC', DD', and EE'.
The perpendicular bisectors of the line segments BB', CC', DD', and EE' are also vertical lines passing through (-5, 6), (-9, 6), (-9, 3), and (-7, 1), respectively.
Therefore, the line of reflection is the vertical line passing through (-5, 6), (-9, 6), (-9, 3), and (-7, 1).
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Help please Given the diagram below, what statement could you make about the relationship between angles 1 and 4?
A) ∠1 is congruent to ∠4.
B) m∠1 is greater than m∠4.
C) m∠1 is less than m∠4.
D) ∠1 and ∠4 cannot be determined.
Answer:
A) angle 1 is congruent (equal size) to angle 4.
Step-by-step explanation:
when 2 lines intersect, then the intersection angles are the same on both sides of any of the lines. they are only left-right mirrored.
Answer:
A) angle 1 is congruent (equal size) to angle 4.
Step-by-step explanation:
Assume the random variable x is distributed with mean of 50 and a standard deviation of 7. Compute the probability.
P(x > 38)
Using the given random variable and the mean the required probability in the given situation is 0.9772.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
= P(x>36) = P(X-μ/σ>36-50/7)
= P(Z>-14/7) Z=X-μ/σ
= P(Z>-2)
= P(Z<2) [P(Z<z) = P(Z>-z)]
= 0.9772 by the p-value table
Therefore, using the given random variable and the mean the required probability in the given situation is 0.9772.
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Correct question:
Assume the random variable x is normally distributed with mean 50 and a standard deviation 7. Find the indicated probability. P(X>36)
Find value of X and BD
Look at picture
The measure of length of x of the parallelogram is x = 2.36 units
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of lengths of the sides are
The measure of AB = 13x - 20
The measure of CD = 2x + 6
The measure of BC = 5x + 4
Opposite sides are parallel
Opposite sides are congruent
So , AB = CD
13x - 20 = 2x + 6
Subtracting 2x on both sides , we get
11x = 26
Divide by 11 on both sides , we get
x = 2.36 units
Hence , the parallelogram is solved and x = 2.36 units
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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.
The solution to the given equation is ( 8 , 1 )
Given data ,
To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:
x - 3y = 5: 8 - 3(1) = 5, which is true
y = x - 7: 1 = 8 - 7, which is true
Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:
Hence , (8, 1) is a solution to both equations, so it is a solution to the system
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Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Let n represent the measure of angle DBC. Then determine the measure of n
An equation that can be used to determine the angle measure, in degrees, of angle DBC is 67 + n = 90.
The measure of n is equal to 23 degrees.
What is a complementary angle?In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).
By substituting the given parameters into the complementary angle formula, the sum of the angles is given by the following mathematical equation;
∠ABD + ∠DBC = 90
∠ABD + n = 90
67 + n = 90.
n = 90 - 67
n = 23°
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
which of the following is equivalent to x-5/3?
The following expression is equivalent to [tex]x^{-5/3}[/tex] as option B that is 1/∛x⁵.
What is fraction?A fraction is a numerical representation of a part or a portion of a whole. It is expressed as one integer (numerator) divided by another integer (denominator), separated by a horizontal line.
Here,
We can rewrite [tex]x^{-5/3}[/tex]as [tex](1/ x^{^(5/3)})[/tex].
The negative exponent in the numerator tells us that we need to move the term to the denominator of a fraction and change the sign of the exponent to make it positive. Similarly, the fractional exponent in the denominator indicates that we need to take the reciprocal of the term and change the sign of the exponent to make it positive.
Therefore, we can rewrite [tex]x^{-5/3}[/tex] as:
[tex](1/ x^{^(5/3)})[/tex]
or
[tex]x^{-5/3}[/tex] = [tex](1/ x^{^(5/3)})[/tex]
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Complete question:
Which of the following is equivalent to [tex]x^{-5/3}[/tex]?
Among the products of a company, brand A has 40% of the market share. A market research firm finds that if a person uses brand A, the probability that he/she will be using it again next year is 30%. On the other hand if a person is not using the product at present, the probability that he/she will be using it next year is 60%. Required: a) Find the transition matrix. b) Find the percentage of the market share that brand A gets after two years. c) Want percentage of the market share will be handled by brand A on the long run, if the transition matrix does not change?
a) The transition matrix is [tex]\left[\begin{array}{ccc} 0.3&0.7 \\ 0.6&0.4\end{array}\right][/tex]
b) After two years, brand A is expected to have 40.4% of the market share.
c) Brand A is expected to have 37.5% of the market share.
a) The transition matrix can be constructed using the probabilities provided in the problem. Let P be the matrix where the (i, j)-th entry represents the probability of transitioning from state i to state j. In this case, there are two states: using brand A (state 1) and not using brand A (state 2).
Using the information given in the problem, we can fill in the entries of the matrix as follows:
P = [tex]\left[\begin{array}{ccc} 0.3&0.7 \\ 0.6&0.4\end{array}\right][/tex]
b) To find the percentage of the market share that brand A gets after two years, we need to multiply the initial market share vector (40% for brand A and 60% for other brands) by the transition matrix twice:
| 0.4 0.6 | × P × P = | 0.404 0.596 |
Therefore, after two years, brand A is expected to have 40.4% of the market share.
c) To find the long-run market share for brand A, we need to find the steady-state vector of the transition matrix P. This is the vector π such that:
πP = π
and
π ₁+ π₂ = 1
where π₁ is the long-run probability of being in state 1 (using brand A) and π₂ is the long-run probability of being in state 2 (not using brand A).
Solving the equations above, we get:
π = | 0.375 0.625 |
This means that in the long run, brand A is expected to have 37.5% of the market share.
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What is the area of one of the bases,b, of the prism b=_in2
Answer: 6
Step-by-step explanation:
Therefore, area of the base 'B' of given rectangular prism is equal to 6 in².
Answer:
Step-by-step explanation:
B= area of the triangle 1+area of triangle 2
(1/2*3*1)+(1/2*2*1)
=1.5+1
=2.5
Find the slope of the tangent to f(x)=x^2 at the point (3,9).
Answer:
f'(x) = 2x, so f'(x) = f'(3) = 2(3) = 6.
Find the probability that
event A or B takes place.
The probability that event A or B takes place is P ( A ∪ B ) = 6/17
Given data ,
Let the probability that event A or B takes place is P ( A ∪ B )
Now , the probability of A is P ( A ) = 2/17
And , the probability of B is P ( B ) = 4/17
where P ( A ∩ B ) = 0
On simplifying the equation , we get
P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )
So , P ( A ∪ B ) = 2/17 + 4/17
P ( A ∪ B ) = 6/17
Hence , the probability is 6/17
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Solve the equation for the indicated variable
X= (simplify your answer)
B = (715x) / (h^2)
Step 1: Get rid of the denominator by multiplying both sides by h^2
(B)(h^2) = 715x
Step 2: Isolate x by dividing both sides by 715
(Bh^2) / 715 = x
Answer: x = Bh^2 / 715
Hope this helps!
Pls Help Parallelogram PQRS is shown in the coordinate plane below. What is the perimeter of parallelogram PQRS?
1) Find the missing side using the right triangle shown. 2) Then find the perimeter by adding all four sides of the parallelogram!
Note that the perimeter of the parallelogram is 42
How is this so?recall that opposite sides of a parallelogram are congruent always
We have to to find the distance between the points Q(6, 6 ) and R(1, -6) using the distance formula which is
d = √[(x2 - x1) ² + (y2 - y 1)²]
where d is the distance between two points with paris (x1 , y1)
and (x2, y2).
PS = QR = √(6-1)² + (6+6)²
= √5² + 12²
= √(25+144
= √(169)
= 13
PQ = SR = 8
Perimeter = 13 + 13 + 8 + 8
Perimeter = 42.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
A gas can hold 10 L of gas how many cans could we filled filled with 7 L of
Answer:
2 cans
Step-by-step explanation:
Given: rectangle MNPQ ~ rectangle RSTU
- find the perimeter of rectangle RSTU
- find the area of rectangle RSTU
The perimeter of rectangle RSTU is 21 cm.
The area of the rectangle RSTU is 27 cm².
How to find the perimeter and area of a rectangle?A rectangle is a quadrilateral that has opposite side equal to each other and opposite side parallel to each other.
Therefore, let's find the perimeter of the rectangle RSTU and the area of RSTU.
Hence,
Let's find the width of the rectangle MNPQ
14 = 2(4 + w)
14 = 8 + 2w
14 - 8 = 2w
2w = 6
w = 6 / 2
w = 3 cm
Therefore, using similar ratio,
4 / 6 = 3 / RU
cross multiply
4RU = 18
RU = 18 / 4
RU = 4.5 cm
Therefore,
Perimeter of the rectangle RSTU = 2(6 + 4.5)
Perimeter of the rectangle RSTU = 2(10.5)
Perimeter of the rectangle RSTU =21 cm
Area of the rectangle RSTU = 4.5 × 6
Area of the rectangle RSTU = 27 cm²
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An individual makes five annual deposits of $2000 in a savings account that
pays interest at a rate of 4% per year. One year after making the last deposit, the
interest rate changes to 6% per year. Five years after the last deposit, the accumulated
money is withdrawn from the account. How much is withdrawn?
could you solve this problem?
The total amount withdrawn from the account after five years is $24,927.38.
How do we calculate?The future value of a series of annual deposits of $2000) can be calculated using the following formula:
FV = [tex]PMT x (((1 + r)^n^-^ 1) / r)[/tex]
where FV = the future value, PMT= the payment amount = $2000 r = the interest rate per period = 4% n = the number of periods = 5
the interest rate and the number of periods are the same.
[tex]FV1 = $2000 x (((1 + 0.04)^5^-^ 1) / 0.04) = $11,025.52[/tex]
This is the amount that the deposits will grow to one year after the last deposit, at an interest rate of 4% per year.
We use compound interest:
FV = [tex]PV x (1 + r)^n[/tex]
we apply this formula with a present value of $11,025.52, an interest rate of 6%, and 4 periods, we get:
FV2 = [tex]$11,025.52 * (1 + 0.06)^4 = $13,901.86[/tex]
Therefore the total amount withdrawn = FV1 + FV2 = $11,025.52 + $13,901.86 = $24,927.38
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14). Find the measures of both angles.
xo
(3x +20)°
Answer:
40 degrees and 140 degrees
Step-by-step explanation:
To solve this problem you can add x+3x+20 and set that equal to 180. (We can do this because angle x and angle 3x + 20 make a linear pair. Knowing this we can estimate that both angles added together will equal 180)
Let us add x + 3x + 20 = 180 to find x. We can then substitute that into the equation.
[tex]x+3x+20=180 :a\\\\4x+20=180 :b\\\\4x + 20 -20=180-20:c\\\\4x=160:d\\\\\frac{4x}{4} = \frac{160}{4}:e\\\\x=40:f[/tex]
a: So in this part, we have rewritten the equation to make it easier to solve
b: In this step, you combine the like terms x+3x to get 4x
c: In step c, you are subtracting 20 from both sides to keep constants on one side and variables on the right
d: In this last step the equation has been simplified to make it easier to solve.
e: To isolate x you have to divide both sides by 4, we do this because the coefficient of x is 4 so you divide the equation by 4 to cancel it out.
f: You rewrite and simplify the equation.
Now to find the measure of both angles you substitute x into the equation.
The first angle's value is 40 degrees and the second is 140 degrees.
These are our answers.
what are the answers to these questions?
The value of the points is,
(1/5, 7/5) or (0.2, 1.4)
The given equation may be simplified as follows:
x² + 14xy + 49y² = 100
(x + 7y)(x + 7y) = 100
(x + 7y)² = 10²
x + 7y = 10
This is a straight line with the equation.
y = -(1/7)x + 10/7
The minimum distance from the origin to this line is provided by a straight line that passes through the origin and which is perpendicular to the straight line.
The slope of the perpendicular line is 7 because the product of the two slopes should be -1.
The perpendicular line is of the form
y = 7x + c.
Because the line passes through (0,0), therefore c = 0.
The line y = 7x intercepts the original line when
y = 7x = -(1/7)x + 10/7
Therefore
7x = -(1/7)x + 10/7
Multiply through by 7.
49x = -x + 10
50x = 10
x = 1/5
y = 7x = 7/5
Hence, The minimum distance is
d = √(x² + y²)
= √[(1/5)² + (7/5)²]
= √2
Thus, The point is (1/5, 7/5).
So, Solution are, (1/5, 7/5) or (0.2, 1.4)
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Please answer if you know this one with the steps thank you.
Step-by-step explanation:
T = 5200 = .2 ( E - 10600)
5200 / .2 = E - 10600
E = 5200/.2 + 10 600 = 36600 pounds
Hurry I’m running out of time helpppppp
Trey's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make aluminum balls that have a radius of 7.5 in. If
aluminum costs $0.12 per in, how much will the aluminum cost to make one ball?
Use 3.14 for x, and do not round your answer.
Thus, Cost of making 1 solid aluminium ball is found as $211.95.
Explain about the spherical shape:Something spherical is similar to a sphere in three dimensions in that it is round, or somewhat round. Even though they are never exactly round, oranges and apples are both spherical. Since an asteroid is frequently spheroidal—nearly round but lumpy—it has an approximately spherical form.
radius of solid aluminium balls r = 7.5 in.
Cost of of aluminium = $0.12 per cu. in.
Volume of sphere = 4/3 * π * r³
Volume of sphere = 4/3 * 3.14 * 7.5³
Volume of sphere = 1766.25 cu. in.
Cost of making 1 solid aluminium ball = 0.12 * 1766.25
Cost of making 1 solid aluminium ball = $211.95.
Thus, Cost of making 1 solid aluminium ball is found as $211.95.
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A 45-year-old man puts $2500 in a retirement account at the end of each quarter until he reaches the age of 66, then makes no further deposits. If the account pays 4% interest compounded quarterly, how much will be in the account when the man retires at age 71? There will be $ in the account.
Answer: The man will make deposits for 66 - 45 = 21 years, or 21 x 4 = 84 quarters.
The quarterly interest rate is 4% / 4 = 1%.
Let's use the formula for the future value of an annuity:
FV = PMT x ((1 + r)^n - 1) / r
where FV is the future value of the annuity, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, PMT = $2500, r = 1%, and n = 84. Substituting these values into the formula, we get:
FV = $2500 x ((1 + 0.01)^84 - 1) / 0.01
FV = $2500 x (5.409 - 1) / 0.01
FV = $2500 x 540.9
FV = $1,352,250
Therefore, there will be $1,352,250 in the account when the man retires at age 71.
pls help with this geometry asap
Area of sector XYZ is 81.45 feet².
Define area of sectorThe area of a sector is a measure of the size of a portion of a circle enclosed by two radii and an arc between them. It is expressed in square units, such as square centimeters, square meters, or square inches.
To find the area of a sector, you need to know the radius of the circle and the central angle of the sector.
The formula for the area of a sector is:
Area of sector = (central angle / 360°) x π x r²
where r is the radius of the circle, π is the mathematical constant pi (approximately 3.14), and the central angle is measured in degrees.
n is the area of sector XYZ
n/360=115/255(X)
n/255=115/360(V)
(The same elements are proportional)
n=115/360×255
n=81.4583≈81.45 feet²
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Transactions on Furnell's credit card are shown for the month of June. The interest rate is 1.4% per month.
June 1 Balance $352.12
June 4 Sears $331.89
June 8 eBay $81.58
June 15 Outback $30
June 18 Payment $200
Find the average daily balance $
184.89
Find the interest for the month $
Find the balance for the following month $
The interest for the month is: $2.59
The balance for the month is: $598.18.
We have the information from the question is:
The interest rate is 1.4% per month.
June 1 Balance $352.12
June 4 Sears $331.89
June 8 eBay $81.58
June 15 Outback $30
June 18 Payment $200
Now, According to the question:
The average daily balance for June is $184.89.
To calculate the interest for the month,
Multiply the average daily balance by the interest rate:
$184.89 × 1.4% = $2.59.
To find the balance for the month :
Add the initial balance, transactions, and interest, then subtract the payment:
$352.12 + $331.89 + $81.58 + $30 + $2.59 - $200 = $598.18.
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Solve for x. Round to the nearest tenth of a degree, if necessary.
The value of x it the nearest tenth of degree is 25.6°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/ hyp
cos( tetha) = adj/ hyp
tan( tetha) = opp/ adj
Here, the hypotenuse is 92 and adjascent to the to the angle x is 63
therefore to calculate x we use cosine function
cos x = 83/92
cos x = 0.902
x = cos^-1( 0.902)
x = 25.6° ( nearest tenth)
therefore the value of x is 25.6°
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An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the southwest at 40 km/hr.
The plane will end up flying
degrees off course
The plane's speed relative to the ground will be
km/hr
Answer: To end up due north, the pilot will need to fly the plane 3.382 degrees east of north.
Step-by-step explanation:
don't know how to explain got it form chegg
The graph of f(x) = a × [tex]b^x[/tex] passes through (2,54) and (5,16).
What is the value of b?
The value of b when the graph of function f(x) = a*bˣ passes through (2,54) and (5,16), is given by, b = 2/3.
Given the function of the graph is,
f(x) = a*bˣ
It is given that the graph of the function passes through the points with coordinates (2, 54) and (5, 16). So this points must satisfy the given function.
Substituting the point (2, 54) in the given function we get,
f(2) = 54
a*b² = 54 ..................... (i)
Substituting the point (5, 16) in the given function we get,
f(5) = 16
a*b⁵ = 16 ..................... (ii)
So dividing equation (ii) by equation (i) we get,
(a*b⁵)/(a*b²) = 16/54
b³ = 8/27
b³ = (2/3)³
b = 2/3
Hence the value of b is 2/3.
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Can someone help me please
The matrix formed by performing the row operation 2R₁ + R₂ — R₂ on M will have a new R₂ = [ -8 -1 -3]
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
performing the row operation 2R₁ + R₂ — R₂ on M, we have;
2(-3) + (-2) = -8 {row 2 column 1}
2(-1) + 1 = -1 {row 2 column 2}
2(-4) + 5 = -3 {row 2 column 3}
Therefore, the matrix formed by performing the row operation 2R₁ + R₂ — R₂ on M will have a new R₂ = [ -8 -1 -3]
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Find the lateral and total surface area round to the nearest hundredth if necessary
The lateral and total surface area of the prism are 1000 square feet and 1120 square feet.
How to determine the lateral and total surface area of a prismIn this problem we need to determine the lateral and total surface area of a prism with a triangular base. The lateral surface area is the sum of the areas of the three rectangles and the total surface area is the sum of the lateral surface area and the areas of the two triangles.
The area formulas for the triangle and the rectangle are, respectively:
Triangle:
A = s · √[s · (s - a) · (s - b) · (s - c)]
s = 0.5 · (a + b + c)
Where:
a, b, c - Sides, in feet.s - Semiperimeter, in feet.A - Area, in square feet.Rectangle:
A = w · h
Where:
w - Width, in feeth - Height, in feet.A - Area, in square feet.Now we proceed to determine each surface area:
Lateral surface area:
A = 2 · (20 ft) · (17 ft) + (20 ft) · (16 ft)
A = 1000 ft²
Total surface area:
s = 0.5 · (17 ft + 17 ft + 16 ft)
s = 25 ft
A = √[(25 ft) · (25 ft - 17 ft)² · (25 ft - 16 ft)] + 1000 ft²
A = 1120 ft²
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Malaika has a number of candies. She can give out 12 to each of her friends and have 3 left over. or she can give 9 out to each of her friends and have 12 left over. How many friends can receive candy?
If she can give out 12 to each of her friends and have 3 left over. or she can give 9 out to each of her friends and have 12 left over, Malaika has 3 friends who can receive candies.
Let's suppose Malaika has "c" candies, and "f" is the number of friends she has.
According to the problem statement, we have two equations:
c = 12f + 3
c = 9f + 12
To solve for "f", we can set the two equations equal to each other:
12f + 3 = 9f + 12
Simplifying the equation, we get:
3f = 9
Dividing both sides by 3, we get:
f = 3
We can verify our solution by plugging "f=3" back into one of the original equations:
c = 12f + 3
c = 12(3) + 3
c = 39
So, Malaika has 39 candies in total. We can also check the other equation to make sure it is true:
c = 9f + 12
c = 9(3) + 12
c = 39
Both equations are true, so our solution of "f=3" is correct.
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Miguel is 3 years older than Katrice. In 9 years the sum of their ages will be 51. How old is Miguel now?
Guys can someone help me with these 2 problems please that's the matrix
The solution of the matrix is [tex]4G + 2F = \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 &-36\end{bmatrix}[/tex]
A matrix is a rectangular array of numbers arranged in rows and columns. The size of a matrix is given by its dimensions, which indicate the number of rows and columns in the matrix. In this question, both matrices G and F have 4 rows and 5 columns, so we say that they are 4x5 matrices.
Scalar multiplication is performed by multiplying each element of a matrix by a scalar, which is simply a number.
Now, to find the value of 4G + 2F, we need to perform scalar multiplication on each matrix and then add the results. We get:
[tex]4G = 4 * \begin{bmatrix}8 &-5 &-8& -2 &-10 \\-6& -7 &1 &9 &2 \\4& 6 &3 &7 &5 \\-4&-3 &0 &-10 & -9\end{bmatrix}\\= \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 & -36\end{bmatrix}[/tex]
[tex]2F = 2 * \begin{bmatrix}1 &8 &-2& -5 &9 \\-9& 10 &6 &-3 &0 \\4& 5 &-4 &3 &7 \\2&-10 &-6 &-1 & -8\end{bmatrix}= \begin{bmatrix}2 &16 &-4& -10 &18 \\-18& 20 &12 &-6 &0\\8& 10 &-8 &6 &14 \\4&-20 &-12 &-2 & -16\end{bmatrix}[/tex]
Now, we can perform matrix addition on 4G and 2F to get:
[tex]4G + 2F = \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 &-36\end{bmatrix}[/tex]
Therefore, the value of 4G + 2F is the 4x5 matrix given above.
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