The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 45 with tick marks every 2 units. The box extends from 17.5 to 40.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 42. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the lower quartile of the data?
42
40.5
17.5
10
Given that 17.5 is the bottom end of the box, the lower quartile's value equation (Q1) must fall between 17.5 and 30. Hence, the appropriate response is 17.5
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
25% of the data fall inside the lower quartile (Q1), which is represented by that number. Q1 is situated near the bottom of the box in the box plot.
According to the description, the box's boundary is at 30, and its size ranges from 17.5 to 40.5 on the number line. As a result, the median value of the middle 50% of the data is 30, with a range of 17.5 to 40.5.
There are some data points outside the middle 50% since the lines outside the box finish at 10 and 42.
Given that 17.5 is the bottom end of the box, the lower quartile's value (Q1) must fall between 17.5 and 30. Hence, the appropriate response is
17.5
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The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder? Question 8 options: 350 m3 700 m3 437.5 m3 175 m3 70 m3
With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
What is the scale factor?A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.
This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.
The new shape created by scaling the original shape is twice as big when the scale factor is 2.
Thus, calculate the larger cylinder's volume as follows:
x/5 = 28/2
2x = 28*5
2x = 140
x = 70m³
Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
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Complete question:
The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?
Question 8 options:
A. 700 m3
B. 350 m3
C. 70 m3
D, 437.5 m3
E. 175 m3
Answer: 70m^3
Step-by-step explanation:
I took the test
Find the value of x.
Answer:
Step-by-step explanation:
Angle sum of a triangle = 180°. So we get:
[tex]62+69+(4x+5)=180[/tex]
[tex]136+4x=180[/tex]
[tex]4x=44[/tex]
[tex]x=11[/tex]°
Answer:
x = 11
Step-by-step explanation:
We know that the sum of the interior angles in a triangle is added up to 180°.
Accordingly,
62 + 69 + 4x + 5 = 180
Combine like terms.
136 + 4x = 180
Subtract 136 from both sides.
4x = 180 - 136
4x = 44
Divide both sides by 4.
x = 11
can someone tell me the answers to b. and c.
1. The Range of Elevation for Long beach is 367 feet.
2. The Range of Elevation for New Orleans is 33 feet.
3. New Orleans have the average of 2 feet below sea.
What is Range?In statistics, the range is the difference between the highest and lowest values for a given data collection.
Given:
1. The Range of Elevation for Long beach
= Highest - Lowest
= 360 - (-7)
= 360 + 7
= 367 feet
2. The Range of Elevation for New Orleans
= Highest - Lowest
= 25- (-8)
= 25+ 8
= 33 feet
3. New Orleans have the average of 2 feet below sea.
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Which correctly renames
7
8
and
5
6
using a common denominator?
A.
42
48
and
40
48
B.
42
48
and
30
48
C.
14
16
and
15
18
D.
28
24
and
20
24
Because the denominators of both fraction have been changed to 7/8=21/24 and 5/6=20/24, respectively,
What does it mean to be a denominator?In mathematics, a denominator is the lowest number in such a fraction that indicates how many equal parts are split into a whole. It is a fraction's divisor.
What term do you use instead of denominator?Divisor is another synonym for denominator. In a common fraction, the integer under the line is described by both of these terms. Similar to this, when discussing statistical values, the term "denominator" refers to the entire population or number out of which samples are selected.
Common denominator is going to be [tex]24[/tex]
[tex]8=2*2*2\\6=2*3\\24=2*2*2*3[/tex]
[tex]8[/tex] should be multiplied by [tex]3[/tex]
[tex]6[/tex] should be multiplied by [tex]4[/tex]
[tex]7/8=(7*3)/(8*3)=21/3\\5/6=(5*4)/(6*4)=20/24\\7/8=21/24\\5/6=20/24[/tex]
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EXCERSIZE 2 Eastern Cape Sept V2 2013 Anver, who recently lost his job, decided to start his own rental car (taxi) business. Anver was paid a round sum of money of R400 000 from his previous employer. He used some of this money to pay a 15% deposit on a vehicle to the car dealer. After doing some research, he decided to buy a Toyota Quantum 2.5D-4D 14-seater passenger van. 1.1 r PH M'S Price: R392 900 Interest rate: Prime rate + 1% Term: 72 months
The answer of the question based on monthly installment is Anver's monthly installment is R6 253.27.
What is Formula?
In mathematics, formula is set of symbols or expressions representing mathematical relationship or the rule. Formulas are often used to describe and solve the problems in mathematics, science, engineering, and other fields.
To determine the amount of the loan, we can calculate 85% of the price of the van, which is the amount that Anver would have to borrow after paying the 15% deposit:
Amount of loan = 85% of R392 900
= 0.85 x R392 900
= R333 965
To determine the monthly installment, we need to use the formula for the present value of an annuity:
PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)
We can calculate the annual interest rate by adding 1% to the prime rate. According to the South African Reserve Bank, the prime rate in September 2013 was 9%.
Annual interest rate = prime rate + 1%
= 9% + 1%
= 10%
Therefore, we can substitute the given values into the formula:
PV = R333 965
r = 10% / 12 = 0.8333%
n = 12
t = 72 / 12 = 6
Rearranging the formula to solve for PMT, we get:
PMT = PV x (r/n) / (1 - (1 + r/n)^(-nt))
Substituting the values, we get:
PMT = R6 253.27 (rounded to two decimal places)
Therefore, Anver's monthly installment is R6 253.27.
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Simplify expression 6+(-4)(2-3)^2=
Step-by-step explanation:
=6+(-4)(2-3)²
=6+(-4)(-1)²
=6-4×1
=2
I’ll give more points!! A
C
Find the mAB
1040
1260
B
D
Answer:I’ll give more points!! A
Step-by-step explanation:I’ll give more points!! A
C
Find the mAB
Select all of the expressions that are equivalent to (9x+6)-¹(8x-4).
M. 2(x + 1)
R. 2x+6
R. 2x + 2
S. 2(x + 3)
T. 8x
The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The function=2(9x+6)/3-(8x-4)/2.
Now,
First, let's simplify the expression given:
2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5
Now let's check which of the given expressions are equivalent to 4x + 5:
M. 2(x + 1) = 2x + 2 (not equivalent)
R. 2x+6 (not equivalent)
R. 2x + 2 (not equivalent)
S. 2(x + 3) = 2x + 6 (not equivalent)
T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)
Therefore, the answer of the given expression will be 8x.
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Can someone help I lost my brain cells xd 7 only
Answer: 81.75
Make 7 an improper fraction:
[tex]\frac{109}{12}[/tex] = [tex]\frac{k}{9}[/tex]
(9)(109) = 12k
981 = 12k
k = 81.75
pa8 11.project Daffynition Decoder
Daffynition Decoder is a fun and challenging word puzzle that requires both creativity and logical thinking to solve. It is often found in puzzle books, newspapers, and online puzzle websites.
What is Daffynition Decoder?Daffynition Decoder is a word puzzle game that involves decoding phrases or sentences by using a letter-substitution method. The game provides a list of numbered words, where each word is a cryptic definition of a common word or phrase. The solver's goal is to figure out what each word represents and then use the letters from those words to decode a secret message. The game is typically played by filling in a chart or grid, where each row corresponds to a numbered word in the list, and each column represents a letter in the decoded message. The solver uses the numbered words to fill in the corresponding letters in the grid, eventually revealing the hidden message.
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Complete question:
What is project Daffynition Decoder?
When Mr. Farrell preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?
The oven will heat up by 18 degrees in 1 minute at this rate.
What is the rate of change?
The term "rate of change" refers to how fast a quantity is changing with respect to time, or some other independent variable.
If the oven's temperature rose 3 degrees in 1/6 of a minute, we can find the rate of temperature increase by multiplying both sides by 6 to get:
3 degrees / (1/6 minute) = 18 degrees/minute
Hence, the oven will heat up by 18 degrees in 1 minute at this rate.
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Find the area of the following triangle, please help
Answer:
Below
Step-by-step explanation:
Area of any triangle = 1/2 base * height
base = 16 height = 9
1/2 * 16 * 9 = 72 units^2
Simon has $315 to buy gifts for 5 people. Each gift costs $m, with a $4 packing fee per gift and a $10 shipping fee per order. The inequality 5(m+4) +10 $315. O No, because the total cost is $335, and $335 > $315. O Yes, because the total cost is $285, and $285 < $315. O Yes, because the total cost is $305, and $305 ≤ $315.
The true statement of the inequality is (d) Yes, because the total cost is $305, and $305 ≤ $315.
How to determine the true statement of the inequalityFrom the question, we have the following parameters that can be used in our computation:
Simon has $315 to buy gifts for 5 people. Each gift costs $m, with a $4 packing fee per gift $10 shipping fee per order. The inequality 5(m+4) +10 <= $315The cost of each gift is $55
So, we have
5(55+4) +10 <= $315
When expanded, we have
305 <= $315
The above inequality is true
Hence, the solution is (d)
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Adolfo LaRosa obtained an installment loan of $6.800 to help pay his college tuition. Student loans do not
require a down payment. He obtained the loan from a local bank and agreed to repay the loan in 24 monthly
payments at an 18% APR.
Answer:
To calculate the monthly payment for an installment loan, we can use the formula:
M = P * r * (1 + r)^n / [(1 + r)^n - 1]
where:
M = monthly payment
P = principal (amount borrowed)
r = monthly interest rate (annual interest rate divided by 12)
n = total number of payments
In this case, Adolfo borrowed $6,800, and the loan is to be repaid in 24 monthly payments at an 18% APR. First, we need to calculate the monthly interest rate:
r = 18% / 12 = 0.015
Next, we can substitute the given values into the formula:
M = 6,800 * 0.015 * (1 + 0.015)^24 / [(1 + 0.015)^24 - 1]
M ≈ $342.03
Therefore, the monthly payment for Adolfo's installment loan is approximately $342.03.
Step-by-step explanation:
Answer:$342.03.
Step-by-step explanation:
What is the area of this trapezoid
Enter your answer in the box
Answer:
322 ft^2
Step-by-step explanation:
((a+c)*v )/2 35+11 *14 /2
you enclose a field using sections of fence with lengths of 9, 12, and 15 meters. Estimate the area of the field.
The estimated area of the field enclosed by the fence is approximately 220.5 square meters.
What is the Pythagorean theorem?A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.
We can employ the following strategy to determine how much of the field the fence is enclosing:
Include the lengths of the fence sections in a rough sketch of the field.
Make a straightforward polygon that resembles the field's shape using the fence sections.
To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula ([tex]A = 1/2 \times base \times height[/tex]). We must identify the triangle's base and height in order to accomplish this.
The Pythagorean theorem can be used to calculate the triangle's height: [tex]a^2 + b^2 = c^2[/tex]where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to
(a)
[tex]= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\[/tex]
The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.
When we apply the triangle's area formula, we obtain:
A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.
The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.
If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.
By dividing the width by the length, we obtain:
180 square meters is the size of the remaining part (12 meters times 15 meters).
To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:
Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.
As a result, the field's approximate area inside the barrier is 220.5 square meters.
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Kristoff needs to fill in the blanks below to factor x2 - 12x + 20. Which of the following is
NOT true about the missing values?
The factor that both trinomials have in common is; C: (x + 2)
How to factor polynomials?In mathematics, a polynomial is defined an expression that consists of variables that are also referred to as indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² - 7x - 18
The trinomial of james is;
x² - 7x - 18
Factorizing this gives;
x² + 2x - 9x - 18
= x(x + 2) - 9(x + 2)
= (x + 2)(x - 9)
The trinomial of Kaitlin is;
x² + 14x + 24
Factorizing this gives;
x² + 12x + 2x + 24
= x(x + 12) + 2(x + 12)
= (x + 2)(x + 12)
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twenty-four percent of 10,000 is what number?
Answer:
24% of 10,000 is 2,400.
Step-by-step explanation:
To find out what number is 24% of 10,000, we can multiply 10,000 by 24% (or 0.24):
Number = 10,000 x 0.24
Number = 2,400
Therefore, 24% of 10,000 is 2,400.
Answer:
2,400
Step-by-step explanation
:24% of 10,000 = 24% × 10,000 = 24/100 × 10,000 = (24 ÷ 100) × 10,000 = 24 × 10,000 ÷ 100 = 240,000 ÷ 100 =
What function type does the graphed data points represent?
A)
Exponential
B)
Can't be determined
C)
Linear
D)
Quadratic
It sure looks like a linear function to me.
You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.
Which of the following functions has a greater average rate of change on the interval (0, 2) than the function shown in the graph?
The average rate of change on that interval is r = 7/3.
What is the average rate of change on the interval?For any function f(x), we define the average rate of change on an interval [a, b] as
r = ( f(b) - f(a))/(b - a)
here, we have,
In this case, the interval is [0, 6], using the graph we can find the values of the function for these inputs:
f(0) = -8
f(6) =6
Replacing that we get:
r = (6 - (-8))/(6 - 0)
r = (6 + 8)/6
r = 14/6
r = 7/3
The average rate is 7/3.
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Find the value of the variable.
Answer:
Step-by-step explanation:
Solve the following equation by completing the square.
Solving the equation by completing the square gives the solution as;
x = (6, -10)
How to solve equation by completing the square?The equation we are given to complete the square is;
x² + 4x = 60
Add half the square of half of the coefficient of x to both sides to get;
x² + 4x + (4/2)² = 60 + (4/2)²
x² + 4x + 4 = 64
Writing left hand side as a perfect square gives;
(x + 2)² = 64
Taking square root of both sides gives;
x + 2 = ±8
x = -2 ± 8
x = (6, -10)
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Calc for business!
Please help!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by =-0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
(i) N(t) = No e^(-0.088t) (ii) approximately 323.3 g of the substance(iii) the rate of change of the amount of the substance after 3 days is approximately -28.4 g/day.(iv) approximately 7.88 days.
Describe Rate of change?The rate of change can be positive, indicating an increase in the value of the variable, or negative, indicating a decrease. It can also be constant, indicating a steady increase or decrease, or it can vary over time, indicating a more complex pattern of change. Understanding the rate of change of a variable is important in many fields, including engineering, economics, and finance, among others.
(i) Since the decay rate is given by -0.088 per day, the exponential function that models the decay is:
N(t) = No e^(-0.088t)
where No is the initial amount of the substance present at t=0.
(ii) If 400g of the substance is present at t=0, then we have No = 400. Substituting this value into the exponential function, we get:
N(t) = 400 e^(-0.088t)
To find how much will remain after 3 days, we need to evaluate N(3):
N(3) = 400 e^(-0.088*3) ≈ 323.3 g
Therefore, approximately 323.3 g of the substance will remain after 3 days.
(iii) The rate of change of the amount of the substance after t days is given by:
dN/dt = -0.088N
To find the rate of change after 3 days, we need to evaluate dN/dt at t=3:
dN/dt | t=3 = -0.088N(3) = -0.088(323.3) ≈ -28.4 g/day
Therefore, the rate of change of the amount of the substance after 3 days is approximately -28.4 g/day.
(iv) We want to find the value of t such that half of the original 400 g of the substance remains. In other words, we want to solve the equation:
N(t) = 200
Substituting No = 400 into the exponential function, we get:
400 e^(-0.088t) = 200
Dividing both sides by 400, we get:
e^(-0.088t) = 0.5
Taking the natural logarithm of both sides, we get:
ln(e^(-0.088t)) = ln(0.5)
Simplifying, we get:
-0.088t = ln(0.5)
Solving for t, we get:
t ≈ 7.88 days
Therefore, after approximately 7.88 days, half of the original 400 g of the substance will remain.
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The scale of the model is 1 inch = 9 feet. The fountain at the center of the city is 18 1/2 feet wide. How wide is the fountain in the model
Therefore , the solution of the given problem of unitary method comes out to be fountain's diameter in the model is roughly 2.0556 inches.
What is an unitary method?The measurements taken from this nanosecond variable section must be multiplied by two in order to complete the task using the unitary technique. In essence, the characterised by a group and the colour sections are both removed from the unit expression method when a desired object is present. For example, 40 pens with a variable price would pay Inr ($1.01).
Here,
We can use proportionality to determine the breadth of the fountain in the model if the scale is 1 inch = 9 feet. The following percentage can be configured:
Model fountain width divided by one inch equals actual fountain width multiplied by nine feet.
The diameter of the fountain is stated to be 18 1/2 feet in real life, which is the same as 18.5 feet. Adding this number to the proportion results in:
1 inch of the model fountain's diameter divided by 18.5 feet by 9 feet
If we simplify, we get:
diameter of the model's fountain / 1 = 2.0556
By dividing the two edges by one inch, we obtain:
Modeled fountain width is 2.0556 inches.
As a result, the fountain's diameter in the model is roughly 2.0556 inches.
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$650 is invested in an account at 3
simple interest per year. Write an
explicit formula representing the
account balance in any given year,
and use this formula to find the
balance in the 25th year.
5. The value of the account at yearly intervals is given below.
6. The balance in the 25th year in the account will be $1,137.5.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
5. The simple interest is given as,
I = 650 x (3/100)
I = $19.5
End of first year = 650 + 19.5 - $669.50
End of second year = 669.5 + 19.5 = $689
End of third year = 689 + 19.5 = $708.50
End of fourth year = 708.50 + 19.5 = $728
End of fifth year =728 + 19.5 = $747.50
6. The balance after 25 years is given as,
A = $650 + ($650 x 3 x 25) / 100
A = $650 + $487.5
A = $1,137.5
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Use matrices A, B, C, and D. Find each scalar product, sum, or difference.
A-2B
We can write the equivalent value of the matrix {A - 2B} as -
[9 2]
[2 6]
[3 -10]
What are matrices?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Given are the matrices as given in the equation.
We can write the elements for {A - 2B} as -
A{ 1 } = 3 + 6 = 9
A{ 2 } = 4 - 2 = 2
A{ 3 } = 6 - 4 = 2
A{ 4 } = - 2 + 8 = 6
A{ 5 } = 1 + 2 = 3
A{ 6 } = - 10
So, we can write the matrix as -
A - 2B =
[9 2]
[2 6]
[3 -10]
Therefore, we can write the equivalent value of the matrix {A - 2B} as -
[9 2]
[2 6]
[3 -10]
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A sample of 80 high school drama club and art club students were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV. 50% of the sample is art club students. From the sample, it is found that 18.75% were art club students who prefer playing computer games and 16.25% were art club students who prefer watching movies/TV. 5% were drama club students who prefer playing computer games, while 20% were drama club students who prefer watching movies/TV. 36.25% of the students surveyed chose watching movies/TV. Which of the following is a correct two-way relative frequency table for the data?
Correct two-way relative frequency table for the data is option A.
Describe Frequency table?A frequency table is a way to organize and display data in a table format by showing the number of times a certain data point or category appears in a given dataset. It is used in statistics and data analysis to quickly and easily understand the distribution of a set of data.
A frequency table typically consists of two columns: the first column lists the categories or data points, and the second column lists the frequency or count of each category. The categories can be anything from numbers to words, but they should be mutually exclusive and exhaustive, meaning that each data point should fit into one and only one category, and all possible data points should be included in the table.
Frequency tables are commonly used to represent categorical data, such as survey responses, demographic data, and results of experiments. They are also useful for visualizing patterns and trends in the data, such as the most common or rare categories, and can be used to calculate various statistical measures, such as percentages, proportions, and averages.
The correct answer is:
Playing Listening Watching Row Totals
Computer to Music Movies/TV
Games
Drama Club Students 5% 25% 20% 50%
Art Club Students 18.75% 15% 16.25% 50%
Column Totals 23.75% 40% 36.25% 100%
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The complete question is:
Need help fast 24 pts and the brainliest
Answer:
65
Step-by-step explanation:
All 4 sides of a polygon equals 360 degrees. We are given the equation of 2 sides to find the degree.
12x + 19 + 8x + 1 = 180
(We put it equal to 180 instead of 360 since we are only given 2 sides)
Subtract 19 from both sides
12x + 8x + 1 = 161
Subtract 1 from both sides
12x + 8x = 160
Add 12x + 8x
20x = 160
Divide 20x by 160
x = 8
Plug in x value to (8x + 1)
(8(8) + 1)
= 65
Solve by Completing the Square
Matalea created a rectangle where the length was eight more than the width. She then determined that the area of a rectangle could be found by using the function A(x)= x2+8x where x is the width of the rectangle. If the area of the rectangle is 33 in^2, what is the width of the rectangle?
The width of the rectangle is calculated as: 11 inches
How to use completing the square?The formula for area of a rectangle is:
A = l*w.
Since the area is 33 in², then;
33 = x(x + 8) would be the equation to solve for x.
Now, you need to put the equation in standard form.
x² + 8x - 33 = 0.
To complete the square you need to add 33 to both sides.
Now you have x² + 8x = 33
Take the coefficient for the x term (8) and divide by 2. Now square it. That would be 4², so 16.
Now you have x² + 8x + 16 = 49
(x + 4)² = 49
Take the square root of both sides and you have;
x + 4 = 7.
Therefore, x = 3 (the short side) and 11 is the long side.
Read more about Completing the square at; https://brainly.com/question/10449635
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