Cost of goods sold (COGS) is an important accounting calculation that measures the costs associated with selling a company’s goods or services. Therefore, the cost of goods sold for the month ended is $600.
Cost of Goods Sold (COGS) is a measure of the cost of goods sold during the accounting period. It is calculated by subtracting the beginning inventory from the cost of goods purchased during the accounting period and then adding the ending inventory. For Dig the Dogs, Inc., the cost of goods sold for the month ended is calculated as follows: Beginning Inventory = 0 Cost of Goods Purchased = $900 Ending Inventory = $300 .COGS = Beginning Inventory + Cost of Goods Purchased - Ending Inventory = 0 + 900 - 300 = $600 Therefore, the cost of goods sold for the month ended is $600.
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Solve and graph the Inequalities
nah I don't think I want to.
Zachariah and Khai collect stamps. Zachariah has 7 American stamps out of 12 stamps. Khai has 15 American stamps out of 24 stamps. Which statement is correct? Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is greater than 15 over 24. Khai has a higher ratio of American stamps than Zachariah because 7 over 12 is less than 15 over 24. Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is less than 15 over 24. Zachariah and Khai have the same ratio of American stamps.
Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is less than 15 over 24.
What is a ratio?A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3).A ratio is a metric used to compare like-kind data or depict relationships between them. Ratios are used to contrast similar items. In your class, for instance, we might compare the ratio of boys to girls using that information.Usually by dividing them, ratios compare two numbers. Your formula would be A/B if you were comparing two different data points (A and B).To learn more about ratio refer to:
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find the diameter of a circle with a circumference of 20ft use for pie 3.14 round to the nearest hundredth
The diameter of the circle with a circumference of 20 ft is 6.37 ft.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
The diameter of the circle can be obtained by the equation of the circumference formula with the given circumference of 20 ft.
Therefore, 2πr = 20.
2r = 20/π.
2r = 6.37 ft.
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The ratio of Mr.X's score to Mr.Y's score was 8:9. If Mr.Y had scored 30 marks lower, the ratio would have had been 4:3. How many marks did Mr.Y score?
Answer:
Step-by-step explanation:30 x 2 = 60 because 8:9 get simplify by 2 and you just times the 30 with 2
Answer:
Let the common multiple be x
John's score is 8x Peter's is 9x
8x/9x-30=4/3
24x=36x-120
12x=120
x=10
John's score is 8 x 10=80
Correct me if im wrong:)
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HELP ASAPPP PLEASEEEEEEEEE
Answer:
Two geometric objects are perpendicular if they intersect at a right angle.
Step-by-step explanation:
How you know:
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
Determine algebraically whether the given function is even, odd, or neither: f(x) = x5 - x3 + x.
Functions are very important concepts in mathematics. There are many types of functions, which include even functions, odd functions, or neither odd nor even functions.
The function f(x) = x⁵ - x³ + x is odd. It satisfies the condition f(-x) = -f(x), making it an odd function.
To determine whether the function f(x) = x⁵ - x³ + x is even, odd, or neither, we need to test if the function satisfies the following conditions for all x:
f(-x) = f(x) for even functions
f(-x) = -f(x) for odd functions
If the function satisfies neither of these conditions, then it is neither even nor odd.
Testing f(-x) = f(x):
f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x
f(x) = x⁵ - x³ + x
Since f(-x) is not equal to f(x), the function is not even.
Testing f(-x) = -f(x):
f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x
-f(x) = -(x⁵ - x³ + x) = -x⁵ + x³ - x
Since f(-x) = -f(x), the function is odd.
Therefore, the given function f(x) = x⁵ - x³ + x is odd.
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in parallelogram ABCD, find the values of X and Y
1
What is the perimeter of a rectangle with a length of 8 feet and a width of 6:
6² feet?
6
14. feet
9
○ 16²/2
16 feet
O 29 feet
29-
6
O 3
48- feet
18
The perimeter of a rectangle with given length and width is 28 feet.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, length of a rectangle = 8 feet and the width of a rectangle = 6 feet.
Here, perimeter= 2(8+6)
= 2×14
= 28 feet
Therefore, the perimeter of a rectangle is 28 feet.
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if you randomly select a mechanical component, what is the probability that it weighs more than 11.5lbf
The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208, less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.
We can use the standard normal distribution and z-scores to answer these questions:
P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099
Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.
P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208
Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.
P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228
Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.
P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314
Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.
P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436
Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.
P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464
Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.
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____The given question is incomplete, the complete question is given below:
Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?
A retailer sells chemistry sets for $21 that were acquired at a cost of $15. What percentage is the mark-up?
The percentage for the markup for the wheelbarrow is 40%.
It is important to note that the percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100
In this case, the retailer sells wheelbarrows for $21 that were acquired at a cost of $15. The markup will be:
The amount paid to purchase an article or the price at which an article is made is known as its cost price. Selling Price: The price at which an article is sold is known as its selling price.= Selling price - Cost price
= $21 - $15
= $6
Markup percentage will be:
= Markup / Cost price × 100
= [tex]\frac{6}{15}[/tex]× 100%
=0.4*100%
= 40%
Therefore, the percentage for the markup is 40%.
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What is the minimum value for the function shown in the graph?
Enter your answer in the box
-2x
4
05-
-05-
-15
-
-25
→
35
2
in
-65-
two opposite angles of a parallelogram (4x-50)^0 and (60 - x)^0
All the angles of the given parallelogram found using the properties of the parallelogram are 38°,38°, 142° and 142°.
What is meant by a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. On the same side of the transversal, the interior angles are supplementary. 360 degrees is the sum of all interior angles. The qualities of a parallelogram are shared by the shapes of a square and a rectangle.
Given the two opposite angles of parallelogram as (4x-50)° and
(60 - x)°.
We are asked to find all the angles of the parallelogram.
As said earlier, opposite angles of parallelogram are equal.
So,
4x-50 = 60 - x
5x = 110
x = 22
So the opposite angles are:
4x-50 = 4*22- 50 = 38°
Adjacent angles are supplementary. So,
38 + y = 180
y = 142°
Sum of all angles of parallelogram should be 360°.
38+38+142+142 = 360°.
Therefore all the angles of the parallelogram are 38°,38°, 142° and 142°.
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A sports club has 140 junior members, 695 adult members, and 210 senior members. What is the probability that the first member selected at random will not be a senior member?
Answer: The total number of members in the club is 140 + 695 + 210 = 1,045.
The number of non-senior members is 140 + 695 = 835.
The probability that the first member selected at random will not be a senior member is 835 / 1,045 = 0.798 or 79.8%.
So, the answer is 0.798 or 79.8%.
Step-by-step explanation:
On the following scale drawing, the scale is 2 centimeters-1 meter.
1. Make a new scale drawing of this rectangular figure using the scale 3 centimeters-1 meter. Make sure to label the
new dimensions.
2. What are the actual dimensions of the figure?
7.8 cm
4.2 cm
Based on the information and the dimensions of the scaled figure, we can infer that the dimensions of the actual figure are 2.1 meters by 3.9 meters.
How to calculate the measurements of the original figure?To calculate the measures of the original figure we must apply a rule of three. In this case, the logic that we must use is: if 2 centimeters are equivalent to 1 meter, how much is 4.2 cm and 7.8 cm respectively.
2 - 1004.2 - ?4.2*100/2=210cm2 - 1007.8 - ?7.8*100/2=390cmAccording to the above, the measurements of the original figure are: 2.1 meters by 3.9 meters.
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The equation 7(2W + 3) = 14W + 20 has no solutions.
Change one term in the original equation to create a new equation with infinitely many solutions.
The equation 7(2W + 3) = 14W + 20 has no solution because it produces a false statement when you distribute
14 W + 21 = 14 W + 20
because 21 ≠ 20.
To make it have infinitely many solutions, you need to make that statement always true. You can do this by changing the "20" on the right side to be "21":
7(2W + 3) = 14W + 21
This equation is always true, no matter what value of W you pick.
An office is planning to divide a common area into a social area and a quiet area. The quiet area takes up one-third of the space. The architect draws this plan at a scale of 1 ft.: 4 cm. What is the area of the social area on the plan?
Answer:
Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.
The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.
Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.
Area of the social area on the plan is (2A/3) / 4.
Here,
Let the total area of the common space "A".
Since the quiet area takes up one-third of the space, its area is A/3.
The scale of the plan is 1 ft.: 4 cm
So,
One foot on the plan represents 4 cm in real life.
So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.
Therefore, the actual area of the social space is (A - A/3) = 2A/3.
Thus the area of the social area on the plan is (2A/3) / 4.
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a variable x has standard deviation 10 and variable y has standard deviation 5. if their covariance is 25, what is the correlation between x and y?
The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.
The correlation coefficient (denoted by ρ) between x and y can be calculated as:
ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)
A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.
We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:
ρ = 25 / (10 * 5) = 0.5
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What was the first vaccine created for? A. Measles B. Polio C. Small pox D. Mumps
In 1798, the first vaccination (for small pox) was discovered. The most notable achievement of these efforts has been the elimination of smallpox sickness from the world.
Hence, option (c) is correct choice.
In 1721, Lady Mary Wortley Montagu introduced smallpox vaccination to Europe by requesting that her two children be immunised against the disease, as she had seen done in Turkey. Dr. Edward Jenner developed the world's first effective vaccination. He discovered that those who had cowpox were resistant to smallpox.
Edward Jenner, a rural doctor from Berkeley (Gloucestershire), England, conducted the world's first vaccine in 1796. Jenner injected an eight-year-old kid, James Phipps, with pus from a cowpox lesion on a milkmaid's hand.
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A car traveled 18 miles on
of a gallon of gas. This means it traveled ___________ miles on ONE gallon of gas.
This means car traveled 18 miles on ONE gallon of gas.
How far does one gallon of fuel go?You should get 20 to 30 miles per gallon of petrol on average when driving your car. Some automobiles, nevertheless, can go up to 60 miles per gallon. Your car's efficiency varies depending on a number of factors, including miles. Car weight, unsafe driving practices, the environment, and shoddy maintenance are a few of the contributing causes.
Vehicle mileage was x miles.
x miles of gasoline equals x gallons of fuel.
Gasoline consumption is inversely proportional with the distance driven by an automobile.
distance traveled by car = K× Gasoline used
Using unitary method,
Distance traveled by car in 1 gallon of gas = 18 × 1 miles.
Distance traveled by car in 1 gallon of gas = 18 miles
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Suppose a snow machine could pull this log with a force of 1000 N from the wood 1000
meters away and it took 100 seconds, how much power would you say this snow
machine has?
Given
The power of the snow machine is 10,000 Joules per second.
What is the power of the snow machine?power is simply the amount of energy transferred or converted per unit time.
It is expressed as;
P = work-done / time
P = ( force × displacement ) / time.
Given the data in the question;
Force = 1000NDisplacement = 1000mTime = 100sPower P = ?Plug the given values into the above formula and solve for P.
P = ( 1000N × 1000m ) / 100s
P = ( 1000000Nm / 100s
P = 10,000 Nm/s
P = 10,000 J/s
Therefore, the power of the machine is 10,000 J/s.
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is 10/x linear or nonlinear
Answer:
10/x is a nonlinear equation. Linear equations represent a straight line in a graph, whereas nonlinear equations are used to represent curves. In this case, the degree of variable y is 1 and the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Question: Use the partial products 3,840 and 640 to find the product 128 x 35. How many pens arr in 35 full boxes?
Answer:
hope this helps
Step-by-step explanation:
How would you translate a real world verbal expression into an algebraic expression?
The Translation to algebraic expression is shown below.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
To create a variable expression for a circumstance in the actual world:
Determine which quantity is unknown in the circumstance, then define a variable to represent it.To reflect the circumstance, create an expression utilising the variable. To determine what mathematical procedures to apply, look for essential words.For example, the sum of a and b can be written as
= a+ b
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. Find the union and intersection of sets and their complements. The universal set S is the set of all natural
numbers less than 10.
S = {1, 2, 3, 4, 5, 6, 7, 8, 9)
Z= (1, 2, 4, 6, 8, 9)
a. XUY
X = {1, 3, 5, 7, 9}
b. x nz
Y= {1, 5, 6, 7)
c. ~X
The information from the given set have the following solutions for:
a) X ∪ Y = {1, 3, 5, 6, 7, 9}
b) X ∩ Z = {1, 9}
c) X' = {2, 4, 6, 8}
What is set?In mathematics, a set is a collection of distinct objects, called elements or members, that share a common property or are grouped together for some reason. A set can be finite or infinite.
For the universal set S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Z = {1, 2, 4, 6, 8, 9}
X = {1, 3, 5, 7, 9}
Y = {1, 5, 6, 7}
we shall evaluate for the following:
X ∪ Y = {1, 3, 5, 6, 7, 9} {all the elements in X and Y}
X ∩ Z = {1, 9} {the elements common to X and Z}
X' = {2, 4, 6, 8} {all the elements in the universal set not in X}
Therefore, the information from the given set have the following solutions for:
a) X ∪ Y = {1, 3, 5, 6, 7, 9}
b) X ∩ Z = {1, 9}
c) X' = {2, 4, 6, 8}
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suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.41 . using the empirical rule, what percentage of the students have grade point averages that are between 1.38 and 3.84 ?
By empirical rule, 99.7% of the students have a grade point average which is between 1.38 and 3.84.
Suppose that the grade point average of undergraduate students at one university has a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.41.
Here, μ = 2.61 , σ = 0.41
Using the empirical rule :
The first part of the empirical rule states that 68% of the data values will fall within 1 standard deviation of the mean. To calculate "within 1 standard deviation," you need to subtract 1 standard deviation from the mean, then add 1 standard deviation to the mean. That will give you the range for 68% of the data values.
2.61 − 0.41 = 2.2
2.61 + 0.41 = 3.02
The range of numbers is 2.2 to 3.02
The second part of the empirical rule states that 95% of the data values will fall within 2 standard deviations of the mean. To calculate "within 2 standard deviations," you need to subtract 2 standard deviations from the mean, then add 2 standard deviations to the mean. That will give you the range for 95% of the data values.
2.61 − 2(0.41) = 1.79
2.61 + 2(0.41) = 3.43
The range of numbers is 1.79 to 3.43
Finally, the last part of the empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 99.7% of the data values.
2.61 − 3(0.41) = 1.38
2.61+3(0.41) = 3.84
The range of numbers is 1.38 to 3.84.
Hence, 99.7% of the students have a grade point average which is between 1.38 and 3.84.
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A stamp book contains a mixture of 27c second class stamps and 32c first class stamps. The
total value of stamps in the book is exactly $6.00.
How many 27c stamps are there in the book?
A 5
B 8
C 10
D 12
E 22
Answer:
8
Step-by-step explanation:
Let's call the number of 27c stamps in the book "x". The number of 32c stamps in the book would then be $6.00 / $0.32 = 18.75 stamps, but since stamps come in whole numbers, we'll round down to 18 stamps. So the total number of stamps in the book is x + 18.
The total value of the 27c stamps is $0.27 * x. The total value of the 32c stamps is $0.32 * 18 = $5.76. The total value of both stamp types is $6.00, so we have the following equation:
$0.27x + $5.76 = $6.00
Solving for x:
$0.27x = $0.24
x = $0.24 / $0.27 = 8.89 stamps, rounded down to the nearest whole number, which is 8 stamps.
So the answer is B) 8.
a starting lineup in basketball consists of two guards, two forwards, and a center. (a) a certain college team has on its roster five guards, four forwards, and three centers. how many different starting lineups can be created?
There are 180 different starting lineups that can be created for the college team.To find the number of different starting lineups that can be created for the college team, we need to use the combination formula.
The number of ways to choose k items from a set of n distinct items is given by the formula:
nCk = n! / (k! * (n-k)!)
where "!" denotes the factorial function, which means the product of all positive integers up to that number.
In this case, we want to choose 2 guards out of 5, 2 forwards out of 4, and 1 center out of 3. So the total number of different starting lineups that can be created is:
(5C2) * (4C2) * (3C1)
= (5! / (2! * 3!)) * (4! / (2! * 2!)) * (3! / (1! * 2!))
= (10) * (6) * (3)
= 180
Therefore, there are 180 different starting lineups that can be created for the college team.
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) explain in words how the math is supposed to work for calculating the number of scenarios. (b) show the arithmetic behind calculating the final value. (c) why is it important to be able to estimate the number of scenarios before beginning your full assessment?
a) The connection of the literacy principle to assessments created and used by preceptors and others directly involved in classrooms is fairly straightforward. Less egregious is the connection of the principle to assessments created and assessed by parties outside the classroom. Tradition has allowed and indeed encouraged some assessments to serve responsibility or monitoring purposes without sufficient regard for their impact on pupil literacy.
b) To satisfy the literacy principle, assessment must change in ways consonant with the current changes in tutoring, literacy, and class. In the history, pupil literacy was frequently viewed as a unresistant process whereby scholars flashed back what preceptors told them to flash back . harmonious with this view, assessment was frequently allowed of as the end of literacy. The pupil was assessed on commodity tutored preliminarily to see if he or she flashed back it. also, the mathematics class was seen as a fractured collection of information given meaning by the schoolteacher.
c) The alternate chance gave scholars the occasion not simply to redo the questions on which they were unprofitable in the first stage but, more importantly, to give lesser attention to the essay questions they had little time to address. similar two- stage testing basically formalizes what numerous preceptors of writing do in their courses, giving scholars an occasion to revise their work after the schoolteacher or other scholars have read it and offered suggestions.
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dilate figure abcd by a scale factor of 3 with the center of dilation at the origin
The dilated figure coordinates will be A(-6,6); B(3,3); C(3,-3); D(-3,0) E.g. If a figure is drawn by the help of lines and the length of all the four lines are equal, then the resultant figure is known as Square Shape.
What are the dilate figures?Figures are nothing but a kind of drawing which we make using lines and arcs. Figures can be 2-D or 3-D. In mathematics these figures are studied by calculating their's area, perimeter, surface area, volume, etc.
In mathematics when we draw a figure using line and arcs and the resultant figure has some specific pre-defined properties then such figures are called shapes.
The coordinates of the given figure ABCD are
A=(-2,2); B=(1,1); C=(1,-1) and D=(-1,0)
As we have to dilate the figure by the factor of 3 from the origin which means we have to enlarge the figure 3 times with same origin, then we simply multiply the coordinates of the given figure by 3.
Dilated coordinates will be
A=(-2×3,2×3)=(-6,6)
B=(1×3,1×3)=(3,3)
C=(1×3,-1×3)=(3,-3)
D=(-1×3,0×3)=(-3,0)
Therefore, New dilated coordinates of the figure are A(-6,6); B(3,3); C(3,-3) and D(-3,0).
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The midpoint of GH is (1,-4). The coordinates of point G are (3,-5).
What are the coordinates of point H?
The coordinates of point H are (-1,-3). This is obtained by using the midpoint formula and solving for the coordinates of point H, given the midpoint of GH and the coordinates of point G.
To find the coordinates of point H, we can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints.
If the midpoint of GH is (1,-4) and the coordinates of point G are (3,-5), we can write: (1,-4) = [(3 + x)/2, (-5 + y)/2]
where x and y are the coordinates of point H. We can solve for x and y as follows:
2(1,-4) = (3 + x, -5 + y)
(2, -8) = (3 + x, -5 + y)
2 = 3 + x --> x = -1
-8 = -5 + y --> y = -3
Therefore, the coordinates of point H are (-1, -3).
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