50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: D
Step-by-step explanation:
Similar means that if you multiplied all of the sides by the same number it would proportionally be that much larger.
D) 4x2=8
12x2=24
15x2=30 All sides were multiplied by 2 so D is similar
Answer:
D)
Step-by-step explanation:
Figure D is similar in all mesurements .
...
Input an ordered pair that satisfies the system of inequalities:
-
y < − x − 3
y> 2x - 4
To find an ordered pair that satisfies the given system of inequalities, we need to find a point that lies below the line y = -x - 3 and above the line y = 2x - 4.
One such point that satisfies both inequalities is (-1, 0).
Let's check if this point satisfies both inequalities:
For the first inequality, y < -x - 3:
0 < -(-1) - 3
0 < 1 - 3
0 < -2 (True)
For the second inequality, y > 2x - 4:
0 > 2(-1) - 4
0 > -2 - 4
0 > -6 (True)
Therefore, the ordered pair (-1, 0) satisfies the system of inequalities y < -x - 3 and y > 2x - 4.
ELEVEN LIONS FOUR CATS, AND SEVEN CROWS
HAVE A TOTAL OF:
Answer:
23 Heads or Legs
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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2. (08.05A LC) A scatter plot is shown below: 15 13 12 11 10 9 8 7 6 5 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot? (5 points) O (4, 15) and (10,7) O (1,6) and (6, 0) O (0, 13) and (10, 11) O (0, 13) and (10,0)
what best describes the relationship between the computed mean of 52.4 and the actual mean of 52.7
The computed mean of 52.4 and the actual mean of 52.7 suggest a close relationship in terms of central tendency.
A computed mean is a statistical measure calculated by summing up a set of values and dividing by the number of observations. In this case, the computed mean of 52.4 implies that when the values are averaged, the result is 52.4.
The actual mean of 52.7 refers to the true average of the population or data set being analyzed. Since it is higher than the computed mean, it indicates that the sample used for computation might have slightly underestimated the true population mean.
However, the difference between the computed mean and the actual mean is relatively small, with only a 0.3 unit discrepancy.
Given the proximity of these two values, it suggests that the computed mean is a reasonably accurate estimate of the actual mean.
However, it's important to note that without additional information, such as the sample size or the variability of the data, it is difficult to draw definitive conclusions about the relationship between the computed mean and the actual mean.
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How would you describe the difference between the graphs of f (x) = 3x²
and g(x) = -2² ?
OA. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the line y = -1.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the y-axis.
Comparing the characteristics of the two functions, we can conclude that the graph of g(x) = -2² is a reflection of the graph of f(x) = 3x² over the x-axis (option C).
The given functions are f(x) = 3x² and g(x) = -2².
To understand the difference between their graphs, let's examine the characteristics of each function individually:
Function f(x) = 3x²:
The coefficient of x² is positive (3), indicating an upward-opening parabola.
The graph of f(x) will be symmetric with respect to the y-axis, as any change in x will result in the same y-value due to the squaring of x.
The vertex of the parabola will be at the origin (0, 0) since there are no additional terms affecting the position of the graph.
Function g(x) = -2²:
The coefficient of x² is negative (-2), indicating a downward-opening parabola.
The negative sign will reflect the graph of f(x) across the x-axis, resulting in a vertical flip.
The vertex of the parabola will also be at the origin (0, 0) due to the absence of additional terms.
Comparing the characteristics of the two functions, we can conclude that the graph of g(x) = -2² is a reflection of the graph of f(x) = 3x² over the x-axis (option C). This means that g(x) is obtained by taking the graph of f(x) and flipping it vertically. The reflection occurs over the x-axis, causing the parabola to open downward instead of upward.
Therefore, the correct answer is option C: g(x) is a reflection of f(x) over the x-axis.
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A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this
equation?
-5
1
6
Save and Exit
The discriminant value associated with this equation include the following: A. -5.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
In this scenario, we would determine the number of zeros by using the discriminant formula as follows;
Discriminant, D = b² - 4ac
This ultimately implies that, the discriminant value must be a negative numerical value and two complex roots such as -5;
-5 = b² - 4ac
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Complete Question:
A quadratic equation has zero real number solutions. which could be the discriminant value associated with this equation?
a. –5 b. 0 c. 1 d. 6
In a bag of 355 chocolate candies, 37 of them are brown. The candy company claims that 13% of its plain chocolate candies are brown. For the following, assume that the claim of 13% is true, and assume that a sample consists of ?? chocolate candies. Complete parts (a) through (e) below.
a. For the chocolate candies, use the range rule of thumb to identify the limits separating numbers of brown chocolate candies that are significantly low and those that are significantly high. (Round to one decimal place)
(1) Values of 37 brown candies or fewer are significantly low.
(2)Values of 37 brown candies or greater are significantly high.
Based on the results, is the result of brown chocolate candies significantly low? Why or why not?
1. Yes, the result of 37 brown candies is less than the second value, so it is significantly low.
2. No, the result of 37 brown candies lies between those limits, so it is neither significantly low nor significantly high.
3. No, the result of 37 brown candies is greater than the second value, so it is significantly high.
4. Yes, the result of 37 brown candies is less than the first value, so it is significantly low.
b. Find the probability of exactly 37 brown chocolate candies. (Round to four decimal places)
The probability is ??.
c. Find the probability of 37 or fewer brown chocolate candies. (Round to four decimal places). The probability is ??
The correct answer is a. 4. Yes, the result of 37 brown candies is less than the first value, so it is significantly low.b. The probability of exactly 37 brown chocolate candies is 0.0306.c. The probability of 37 or fewer brown chocolate candies is 0.0611.
a. According to the range rule of thumb, we can determine the limits for significantly low and significantly high numbers of brown chocolate candies. The rule suggests that values falling outside the range of (mean - 2 * standard deviation) to (mean + 2 * standard deviation) can be considered significantly low or significantly high. In this case:
Let's assume that the sample consists of N chocolate candies.
Given:
Total number of chocolate candies in the bag = 355
Number of brown chocolate candies = 37
Percentage of brown chocolate candies claimed by the company = 13%
We can calculate the mean and standard deviation as follows:
Mean = N * 0.13
Standard Deviation = sqrt(N * 0.13 * 0.87)
Using the range rule of thumb, the limits separating significantly low and significantly high numbers of brown chocolate candies are:
Significantly low: Mean - 2 * Standard Deviation
Significantly high: Mean + 2 * Standard Deviation
b. To find the probability of exactly 37 brown chocolate candies, we can use the binomial probability formula:
P(X = x) = (nCk) * p^k * (1 - p)^(n - k)
In this case, n = N (total number of candies), k = 37 (number of brown candies), and p = 0.13 (probability of a candy being brown).
c. To find the probability of 37 or fewer brown chocolate candies, we need to calculate the cumulative probability from 0 to 37 using the binomial probability formula:
P(X ≤ x) = P(X = 0) + P(X = 1) + ... + P(X = 37)
Let me perform the calculations for you.
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Determine if (4,1) is a solution for the system of equations. Explain answer
y = -x + 5
y = 2x - 7
Answer:
Step-by-step explanation:
To determine if the point (4,1) is a solution for the system of equations, we need to substitute the values of x and y from the point into both equations and check if the equations hold true.
For the first equation, y = -x + 5, we substitute x = 4 and y = 1:
1 = -(4) + 5
1 = -4 + 5
1 = 1
The equation holds true for the first equation.
For the second equation, y = 2x - 7, we substitute x = 4 and y = 1:
1 = 2(4) - 7
1 = 8 - 7
1 = 1
The equation also holds true for the second equation.
Since the point (4,1) satisfies both equations, it is indeed a solution to the system of equations.
Henry deposited $150 in a bank Find the opposite quantity that makes Henry’s balance
Withdrawal: If Henry decides to withdraw money from his bank account, the opposite quantity would be the amount he withdraws.
Transfer: If Henry transfers money from his account to another account, the opposite quantity would be the amount of the transfer.
Debit/Credit: If there are debit or credit transactions on Henry's account, the opposite quantity would depend on whether it is a debit (negative) or credit (positive) entry.
To determine the opposite quantity that makes Henry's balance, we need to know the specific transaction or action that affects the balance. Without further information, it is not possible to provide an exact answer.
However, I can explain a few scenarios based on common banking transactions that could result in an opposite quantity affecting Henry's balance:
1. Withdrawal: If Henry decides to withdraw money from his bank account, the opposite quantity would be the amount he withdraws. For example, if Henry withdraws $50 from his account, the opposite quantity would be -$50.
2. Transfer: If Henry transfers money from his account to another account, the opposite quantity would be the amount of the transfer. For instance, if Henry transfers $100 to another account, the opposite quantity would be -$100.
3. Debit/Credit: If there are debit or credit transactions on Henry's account, the opposite quantity would depend on whether it is a debit (negative) or credit (positive) entry.
It's important to note that these scenarios are examples, and the opposite quantity would vary depending on the specific transaction or action affecting Henry's balance. To accurately determine the opposite quantity, we would need more information about the specific transaction or action taken by Henry that impacts his account balance.
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This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
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4
cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a diamond? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
[tex] \frac{1}{4} [/tex]
Answer:
the probability that at least one of the cards drawn is a diamond is 5/32
Step-by-step explanation:
In a standard 52-card deck, there are 13 diamond cards,
Now,
The probability of a card being a diamond is ,
P = 13/52
P = 1/4
Now, we have to find the probability that atleast one of the 4 cards is a diamond, we calculate the probabilities,
There is 1 diamond in the 4 cards,
Hence the other 3 are not diamonds i.e the porbability for not being a diamond is,
N = 1-1/4 = 3/4
So,
The total probability is,
T1 = (3/4)(3/4)(3/4)(1/4)
T1 = 27/256
There are 2 diamonds in the 4 cards,
And the other 2 are not diamonds, we get,
T2 = (1/4)(1/4)(3/4)(3/4)
T2=9/256
There are 3 diamonds in the 4 cards,
and 1 is not,
T3 = (1/4)(1/4)(1/4)(3/4)
T3 = 3/256
ALL FOUR are diamonds,
T4 = (1/4)(1/4)(1/4)(1/4)
T4 = 1/256
Hence, the probability that at least 1 is a diamond is,
T = T1 + T2 + T3 + T4
T = (27/256) + (9/256) + (3/256) + (1/256)
T = 40/256
T = 5/32
=
Find the x and y intercepts of the graph of the equation: y= |3x-7|. Select all that
apply.
Shelley was playing her favorite video game. Her character started with 100 health points, but lost 11 when she got in a fight. She lost 12 more health points when a monster attacked her. Luckily, a healing spell gave her 21 health points back.
Shelley works out that she now has 98 health points. Does that sound about right?
Answer: 98 This statement is true
Step-by-step explanation:
100-11=89
89-12=77
77+21=98
Is the following graph a logarithmic or exponential function?
Answer: Logarithmic function
Step-by-step explanation: y=logax and it's a reflection of an exponential curve that curves up and a logarithmic function curves down.
Bronson Building Inc. is considering a possible investment project, consisting of constructing an office building and then renting it out for use to various local businesses. The initial cost of acquiring the land and constructing the building (first cost) is $21,000,000. The building is expected to be sold for $2,000,000 in 23 years, at the end of the last year of the project. Annual revenue from collecting rents is expected to be $4,000,000, while annual maintenance and operating expenses are projected to equal $2,000,000. Using MARR of 10%, compute the present worth of the project. Note: if the present worth is negative you must include the negative sign with your answer
Answer:The present worth of the project for Bronson Building Inc is $6,389,137.
In order to calculate the present worth, follow these steps:
1. The given information is:
Initial cost (first cost) = $18,000,000
Annual revenue = $5,000,000
Annual expenses = $2,000,000
Net annual cash flow = Annual revenue - Annual expenses = $5,000,000 - $2,000,000 = $3,000,000
MARR = 11%
Project duration = 18 years
Sale price at the end of the project = $8,000,000
2. To calculate the present worth, we first need to find the present value of the net annual cash flows using the MARR as the discount rate. Then, we will add the present value of the sale price and subtract the initial cost.
Present value of net annual cash flows (PV_ACF) = Net annual cash flow * [(1 - (1 + MARR)^(-duration)) / MARR]
PV_ACF = $3,000,000 * [(1 - (1 + 0.11)^(-18)) / 0.11] = $3,000,000 * 7.696 = $23,088,000
3. Find the present value of the sale price at the end of the project.
Present value of sale price (PV_SP) = Sale price / (1 + MARR)^duration
PV_SP = $8,000,000 / (1 + 0.11)^18 = $8,000,000 / 6.146 = $1,301,137
4. Calculate the present worth of the project.
Present worth = PV_ACF + PV_SP - Initial cost
Present worth = $23,088,000 + $1,301,137 - $18,000,000 = $6,389,137
Step-by-step explanation:
Joseph wants to factorise the following algebraic expression 3x squared + 6x + 4x + 8 provide yourself with a three-step guide on how to factorise the expression
The expression 3x² + 6x + 4x + 8 is factorized as (x + 2)(3x + 4).
To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:
Step 1: Grouping
Group the terms in pairs based on their common factors:
(3x² + 6x) + (4x + 8)
Step 2: Factor out common factors
Factor out the greatest common factor from each group of terms:
3x(x + 2) + 4(x + 2)
Now, we have a common factor of (x + 2) in both terms.
Step 3: Combine the factored terms
Combine the factored terms using the common factor:
(x + 2)(3x + 4)
The expression 3x² + 6x + 4x + 8 is factorized as (x + 2)(3x + 4).
In this process, we grouped the terms with similar variables and then factored out the greatest common factor from each group. Finally, we combined the factored terms using the common factor to obtain the fully factorized expression.
It's important to note that factoring algebraic expressions requires practice and familiarity with common factoring techniques. In some cases, you may encounter expressions that require additional methods such as factoring by grouping, using special factoring formulas, or applying quadratic factoring techniques.
By following these three steps, you can factorize the given expression by identifying common factors and combining terms accordingly.
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2. [3 points] In order to pay for college, the parents of a child invest $20,000 in a bond that pays 8% interest compounded semiannually. How much money will there be in 18 years?
Work (1 pt)
Replace these words with a cropped picture of your work for question 2.
Answer
Explanation
The amount of money there would be in 18 years is $82078.65.
The value of the bond increased over the 18 years period.
How to determine the future value after 18 years?In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where:
A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.t represents the time measured in years.By substituting the given parameters into the formula for compound interest, we have the following;
[tex]A(18) = 20000(1 + \frac{0.08}{2})^{2 \times 18}\\\\A(18) = 20000(1.04)^{36}[/tex]
Future value, A(18) = $82078.65
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Answer:
$82078.65
Step-by-step explanation:
You want the value of a $20,000 investment that pays 8% interest compounded semiannually for 18 years.
Compound interestThe value of the investment of principal amount P at interest rate r compounded n times per year for t years is given by the formula ...
A = P(1 +r/n)^(nt)
ApplicationUsing the given values, we find the amount of money in 18 years will be ...
A = $20,000(1 + 0.08/2)^(2·18) = $20,000(1.04^36) ≈ $82,078.65
In 18 years there will be $82,078.65.
__
Additional comment
Some calculators and all spreadsheets have built-in functions for evaluating financial formulas.
<95141404393>
Question 1-6
The diagram shows the shape and dimensions of a three-dimensional figure
What is the volume, in cubic units?
Enter your answer in the box. (Numbers Only)
cubic units
The volume of the right prism is equal to 312 cubic units.
How to determine the volume of a right prism
In this problem we find the representation of a right prism, whose volume must be found by means of the following formula:
V = A · h
Where:
A - Base areah - HeightAnd the area of the base can be found by following formula:
Triangle
A = 0.5 · w · l
Rectangle
A = w · l
Where:
w - Widthl - HeightThe volume of the solid is now computed:
V = (0.5 · 3 · 4 + 5 · 4) · 12
V = (6 + 20) · 12
V = 26 · 12
V = 312
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What is the coefficient in the expression
6-4x-8+2
Answer:
-4 is the coefficient or -4x whatever the answers are
Step-by-step explanation:
the coefficient in mathematics is basically whatever the number is infront of a variable in an expression, equation, etc.
The measure of < HIK is 68.30. If < HIK and < RST are complementary angles, what is the measure, in degrees, of < RST?
Answer:
the measure of < RST is 21.70 degrees.
Step-by-step explanation:
If < HIK and < RST are complementary angles, it means that the sum of their measures is 90 degrees.
Let's denote the measure of < RST as x.
Given that the measure of < HIK is 68.30 degrees, we can set up the following equation:
68.30 + x = 90
To solve for x, we subtract 68.30 from both sides:
x = 90 - 68.30
Calculating the value:
x = 21.70
GEOMETRY 80POINTS
ty!
Answer:
x ≈ 77.79 ft
Step-by-step explanation:
using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{50}{x}[/tex] ( multiply both sides by x )
x × sin40° = 50 ( divide both sides by sin40° )
x = [tex]\frac{50}{sin40}[/tex] ≈ 77.79 ft ( to the nearest hundredth )
This Month
Quality
Productivity
Safety
Engagement
Last Month
Quality
Productivity
Safety
Engagement
ce Scores are based on 100 prant scale,
Great is 80 or stove for a categories
482324R
A
90
79
68
78
A
94
62
70
Group
B
2338-32N
70
58
84
88
B
74
86
76
72
33880*880
96
25
72
92
82
in which performance area are the
groups performing most
consistently compared to last
month?
Quality
Productivity
Associate Engagement
Group A is performing most consistently in terms of quality and associate engagement compared to last month.
To determine which performance area the groups are performing most consistently compared to last month, we need to compare the scores of each performance area between the two months.
Let's analyze each performance area:
Quality:
For Group A, the quality score increased from 90 to 94, indicating an improvement in quality performance. However, for Group B, the quality score decreased from 74 to 70, indicating a decline in quality performance. Therefore, Group A is performing more consistently in terms of quality compared to last month.
Productivity:
For Group A, the productivity score decreased from 79 to 62, showing a significant decline in productivity performance. Similarly, for Group B, the productivity score decreased from 86 to 58, indicating a notable decline as well. Both groups experienced a decrease in productivity performance, but Group A had a larger decline. Therefore, neither group is performing consistently in terms of productivity compared to last month.
Associate Engagement:
For Group A, the engagement score increased from 68 to 70, suggesting a slight improvement in associate engagement. Conversely, for Group B, the engagement score increased from 76 to 72, indicating a slight decline. Both groups had minor changes in engagement scores, but Group A had a smaller change. Therefore, Group A is performing more consistently in terms of associate engagement compared to last month.
Based on the analysis, Group A is performing most consistently in terms of quality and associate engagement compared to last month. However, neither group is performing consistently in terms of productivity. It is important to address the productivity decline and identify areas for improvement to ensure consistent performance across all categories.
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-10
-8
-5
-4
range for the graph below.
-2
10
co
6
4
2
M
-4
-6
-8
-10
2
4
6
CO
8
10
k
What’s the domain and range?
The range for the graph provided is from -10 to 10, inclusive.
To determine the range of the graph, we look at the vertical values or the y-values. The lowest y-value on the graph is -10, which corresponds to the point (-6, -10). The highest y-value on the graph is 10, which corresponds to the point (6, 10).
Therefore, the range of the graph is from -10 to 10, which means that all the y-values on the graph fall within this range. This indicates that the graph spans a vertical distance of 20 units, starting from -10 and ending at 10.
It's important to note that the range includes the minimum and maximum values attained by the graph. In this case, the graph reaches its lowest point at -10 and its highest point at 10.
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GEOMETRY 50POINTS
What is the angle of elevation to the kite? TYSM
Answer:
10.4°
Step-by-step explanation:
the angle of elevation is the angle from the horizontal , upward from one point on the horizontal to another point, not on the horizontal
in this case the angle of elevation is represented by ∠ A
using the sine ratio in the right triangle
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{36}{200}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{36}{200}[/tex] ) ≈ 10.4° ( to the nearest tenth )
the angle of elevation to the kite is approximately 10.4°
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
Answer:
The system of linear inequalities represented by the graph is:
y > x - 2 and y < x + 1
This system of inequalities indicates that y is greater than x - 2, which represents the upper boundary of the shaded region in the graph. Additionally, y is less than x + 1, which represents the lower boundary of the shaded region. The intersection of these two conditions is the region between the lines, satisfying both inequalities.
Use the perimeter formula to find the perimeter of the rectangle.
a vertical rectangle with one side length labeled 11 inches and another side length labeled 9 inches
40 inches
31 inches
22 inches
18 inches
Answer:
Perimeter = 40 inches
Step-by-step explanation:
The formula for the perimeter of a rectangle is given by:
P = 2l + 2w, where,
P is the perimeter,l is the length,and w is the width.Thus, we can allow the 11-inch side to represent the length and the 9-inch side to represent the width and plug in 11 for l and 9 for w in the perimeter formula to find P, the perimeter of the rectangle:
P = 2(11) + 2(9)
P = 22 + 18
P = 40
Thus, the perimeter of the rectangle is 40 inches.
Average rate of change
please answer i am stuck
