Check the picture below.
A survey in 2017 indicated that college freshmen carry a mean credit card debt of $611 but the median of their credit card debt is $47. Create a data set of five freshmen students so that the data set has a mean and median that is the same as that of the surveyed college freshmen.
,
,
,
,
The mean of the data set is $ 611 and the median of the set is $ 47
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
Let the mean of the data set be A = $ 611
The number of college freshmen = 5
Now , the equation will be
Let the number of freshmen be represented as N = { a , b , c , d , e }
So , the mean is A = ( a + b + c + d + e ) / 5
On simplifying the equation , we get
( a + b + c + d + e ) = $ 3,055 be equation (1)
And , the median of the data set is M = $ 47
So , the median is the middle data point in the list.
Let the list be represented as = { a , b , $ 47 , d , e }
Let the value of a = $ 27
Let the value of b = $ 30
Let the value of d = $ 1,000
Let the value of e = $ 1,951
So , the mean of the set is A = ( 27 + 30 + 47 + 1000 + 1951 ) / 5
On simplifying the equation , we get
The mean of the set is A = 3055 / 5
The mean of the set is A = $ 611
Hence , the median is $ 47
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write a real-world problem for the bar diagrams shown than solve your problem
The bar diagram could describe the following real-world problem:
"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have to give that;
A bar diagram is shown in the figure.
Now, We can make a real-world problem that could represent the bar diagram.
So, We get;
"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"
Hence, the above question represents the bar diagram shown.
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The question seems incomplete, the missing graph has been attached below.
Enter each answer as a whole number or a fraction, or DNE for Does Not Exist or undefined.
The answers both as whole numbers and fractions are given below:
[tex]\frac{-1}{6}[/tex]51What is the limit of a function?In mathematics, the limit of a function is the value that the function approaches as its input (independent variable) gets arbitrarily close to a certain value, often denoted as a.
More precisely, given a function f(x), the limit of f(x) as x approaches a, written as "lim x → a f(x)", is the value that f(x) approaches as x gets arbitrarily close to a, but not necessarily equal to a.
If the limit exists and is equal to L, then we can write it as:
lim x → a f(x) = L
To solve this,
using the graph of y = f(x)
[tex]\lim_{x \to 4^+\} \frac{f(x) - 4}{f(x+3)}[/tex] = 3-4/6 = -1/6
[tex]\lim_{x \to 1^-\}{f(fx) +4) = f(4 +4) = f(8)[/tex] = 5
[tex]\lim_{h \to 0\} \frac{f(2+h) - f(2)}{h}[/tex] = f^1(2) = 1
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a function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. the function f(t) is your height at age t.
This function is not one-to-one because different ages can have the same height.
This function f(t) is not one-to-one because different ages can have the same height. For example, two people at age 20 could have the same height, even though one is 20 years old and the other is not. Additionally, two people of different ages can have the same height, such as a 5 year old and a 25 year old with the same height. One-to-one functions require that for every input there is only one output, which is not the case for this function. This is because height is not necessarily determined solely by age, and can be influenced by genetics and other environmental factors. Therefore, for any given age, there could be multiple possible heights, and this function does not satisfy the definition of a one-to-one function.
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LetXbe an affine variety. Show that the coordinate ringA(X)is a field if and only ifXis a single point. In the rest of this chapter we want to study the basic properties of the operationsV(⋅)andI(⋅).
In summary, the statement states that the coordinate ring of an affine variety is a field if and only if the variety is reduced to a single point, making it a well-defined, irreducible, and non-redundant set.
What is coordinate?Coordinates are a pair of integers that are used to locate a point or object in a two-dimensional plane. A point's location on a 2D plane is defined by two integers called the x-coordinate and the y-coordinate. The distance between two points is known as the x-coordinate, or abscissa, while the distance between two points is known as the y-coordinate, or ordinate. Point (3, 2), for example, is three units distant from the positive y-axis and two units away from the positive x-axis.
Here,
In algebraic geometry, the coordinate ring of an affine variety X, denoted by A(X), is a ring that encodes the algebraic information of the variety X. The ring A(X) is defined as the set of polynomial functions on X, with pointwise addition and pointwise multiplication.
The statement "The coordinate ring A(X) is a field if and only if X is a single point" says that the coordinate ring is a field only when the affine variety X is reduced to a single point.
This means that the only non-zero polynomial function on X is the constant function equal to one. In other words, if X is a single point, then any non-zero polynomial on X will have an inverse, making the coordinate ring a field.
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the area of a square with coordinates at: (–5, 3), (1, 1), (–5, –1), and (–1,3)
Therefore, the area of the square with coordinates at (–5, 3), (1, 1), (–5, –1), and (–1,3) is 40 square units.
How do you use coordinates?A coordinate is indeed a geometry technique that uses one or more quantities or coordinates to better be able to watch points as well as other geometrical items on a continuum, such as Ellipsoid. A point or object's coordinates on the double plane are indeed a combination of integers. The y and x dimensions of a point on a plane surface are two numbers that identify its location. a collection of numbers that represent exact coordinates.
Here,
To find the area of a square with these coordinates, we need to find the length of one of its sides first. We can use the distance formula to find the length of the side between two adjacent vertices:
Side AB: √((1-(-5))² + (1-3)²) = √(36 + 4) = √(40) = 2√(10)
Side BC: √((-5-1)² + (-1-1)²) = √(36 + 4) = √(40) = 2√(10)
Since the opposite sides of a square are equal, we know that the other two sides also have a length of 2sqrt(10).
Now we can use the formula for the area of a square, which is side squared. In this case, the area is:
Area = (2√(10))² = 4 × 10 = 40
Therefore, the area of the square with coordinates at (–5, 3), (1, 1), (–5, –1), and (–1,3) is 40 square units.
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Find the outlier of the data 28,18,26,20,22,25,21,22,65,28,17.
Answer: The outlier of the data is 65! Hope this helps you!
i need help please!!!!
The value of f(-1) is 7
How to solve for the polynomialWe have the equation of the polynomial as:
f(x) = - 2x² - 5x + 4 by x + 1
The question tells us that x = -1
We would have to put in the value of x into the polynomial
such that we would have
f (-1) = -2 (-1)² - 5 (-1) + 4
= -2 + 5 + 4
= 7
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National results for the SAT test show that for college-bound seniors, the average combined SAT writing, math, and verbal score is 1500. The standard deviation is 250. National results for the ACT test show that for college-bound seniors, the average composite ACT score is 21 and the standard deviation is 5. Both the ACT and SAT are normally distributed so the Empirical Rule can be applied to their distributions. What percentage of seniors will score a 31 or higher on the ACT?
16 percentage of seniors will score a 31 or higher on the ACT. This can be solved using the concept of standard deviation.
What is Z-score?The Z-score provides information on how much a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score. Essentially, standard deviation is a measure of the degree of variability within a given data collection.
Given that,
SAT score is normally distributed with a mean score of μ = 1500 and the standard deviation of σ = 250,
The ACT score is also normally distributed with a mean score of μ = 21 and the standard deviation of σ = 5,
To calculate the percentage of scores above x = 21 is calculated by finding the Z score which is calculated as:
Z = (x - μ) / σ
Z = 31 - 21 / 5 = 2
now since 68% of scores is between 1 standard deviation and the shape is symmetric hence (100-68)/2 = 16% of values will be above 1 standard deviation.
Thus 16% of scores will be have score higher than 31.
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Al’s sandwich shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is 2$ and the profit for every wrap is 3$. Sal made a profit of 1,470$ from lunch specials last month. The equation 2x+3y= 1,470 represents Sal’s profits last month where x is the number of sandwich specials sold, and y represents the number of wrap specials sold.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
PLS ANSWER I WILL GIVE BRAINLIEST
The graph of the linear function 2x + 3y = 1470 is given by the image presented at the end of the answer.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change of the linear function.The intercept b represents the initial amount.The function for this problem is defined as follows:
2x + 3y = 1470.
In slope-intercept format, it is given as follows:
3y = -2x + 1470
y = -0.67x + 490.
Hence the function is graphed considering that:
When x increases by 3, y decays by 2.The graph touches the y-axis at y = 490.More can be learned about linear functions at https://brainly.com/question/24808124
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convert 7493 ft to miles, yards and feet
Answer:
Yards:2497.66667-Rounded up to 2498 yds. Miles: 1.41912879- or 1.4-miles Feet literally 7493 as its feet
Step-by-step explanation:
convert 7493 ft to miles, yards and feet?
Alright, first, let's get rid of feet. 7,493 ft is feet, so all we need is to find miles and yards.
To convert feet to miles, divide feet by 5,280. So 7,493/5,280, which is 1.41912878788 miles.
To convert feet to yards, divide feet by 3. So 7,493/3, which is 2497.66666667 yards.
Hope this helped!
work with a partner to complete the graphic organizer about percent and bar diagrams the first one is done for you describe the pattern in the table above use the pattern to find 80% of 150
The value of 80% of 150 is 120
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
80% of 150
The table of value is not given
However, the expression can be evaluated without the table
Using the above as a guide, we have the following:
80% of 150 = 80% * 150
Evaluate the product
80% of 150 = 120
Hence, the value is 120
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NO LINKS!!! URGENT HELP PLEASE!!!
1. What are the dimensions of the rectangle with an area of 175 square meters?
2. What is the fixed perimeter for the rectangles represented by the graph? Explain how you found the perimeter.
Answer:
1. width = 35 m, length = 5 m
2. 80 m
Step-by-step explanation:
Question 1From inspection of the given graph, when y = 175, x = 5.
Therefore, when the area of a rectangle is 175 m², its length is 5 m.
The equation for the area of a rectangle is:
[tex]\boxed{\sf Area=width \times length}[/tex]
Therefore, to find the width of the rectangle, input the area of 175 m² and length of 5 m into the equation and solve for width:
[tex]\begin{aligned}\sf Area&= \sf width \times length\\\implies 175&=\textsf{width} \times 5\\\sf width&=\dfrac{175}{5}\\\sf width&=35\; \sf m\end{aligned}[/tex]
Therefore, the dimensions of the rectangle with an area of 175 m² are:
width = 35 mlength = 5 mQuestion 2The equation for the perimeter of a rectangle is:
[tex]\boxed{\sf Perimeter=2(width +length)}[/tex]
Given the width is 35 m and the length is 5 m:
[tex]\begin{aligned}\implies \sf Perimeter=&2(35+5)\\&=2(40)\\&=80\; \sf m\end{aligned}[/tex]
Name the zero vector for each of these vector spaces.
(a) The space of degree three polynomials under the natural operations.
(b) The space of matrices.
(c) The space is continuous (d) The space of real-valued functions of one natural number variable.
(a) The zero vector in the space of degree three polynomials is the polynomial with zero coefficients, i.e., p(x) = 0 for all x.
What is the Vector?
In mathematics, a vector is an ordered collection of numbers, typically referred to as scalars.
(b) The zero vector in the space of matrices is the matrix with all elments equal to zero, i.e., A = [0, 0, ..., 0] where A is an m x n matrix.
(c) The zero vector in the space of continuous functions is the constant function with value zero, i.e., f(x) = 0 for all x.
(d) The zero vector in the space of real-valued functions of one natural number variable is the function that maps every natural number to zero, i.e., f(n) = 0 for all natural numbers n.
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Can someone explain how to do this question step by step, please?
For the given function [tex]\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}[/tex] the value for limit is 5/8.
What is limit?
A limit in mathematics is a point at which a function approaches the outcome for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity.
The function is given as -
[tex]\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}[/tex]
Dividing the function by [tex]\sqrt[3]{x}[/tex] -
[tex]\displaystyle \lim_{x \to -\infty} \frac{5-\frac{1}{x^{\frac{4}{21} }} }{8+\frac{3}{x^{\frac{4}{21}}} }[/tex]
Use the formula [tex]\displaystyle \lim_{x \to a} \Bigg[\frac{f(x)}{g(x)}\Bigg]=\frac{\displaystyle \lim_{x \to a}f(x)}{\displaystyle \lim_{x \to a}g(x)} , \displaystyle \lim_{x \to a}g(x)\neq 0[/tex] -
With the exception of indeterminate form -
[tex]\frac{\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}{\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}[/tex]
Find the values individually -
[tex]{\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}=5[/tex]
[tex]{\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}=8[/tex]
So, the limit is 5/8.
Therefore, the limit is 5/8.
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for each situation, described given a linear model, is there a correlation. if so is there a causal correctaion
The given linear model and the correlation are true. The particular circumstance will, however, determine if there is a causal association between the two variables.
Yes, there is a correlation between the two variables in the supplied linear model, proving that there is a connection between them. This correlation, which is vital for assessing the strength of their link, is graphically displayed using the linear model. However, since this correlation is not always present, whether there is a causal association between the two variables depends on the particular circumstance. For instance, two variables could have a high correlation, but neither one of them necessarily causes the other. More investigation into the cause-and-effect relationship between the two variables is required to ascertain whether there is a causal correlation.
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The complete question is
for each situation, described given a linear model, is there a correlation. if so is there a causal between a linear model and a given situation?
a square is inscribed in a circle with a radius of "72".If a point in the circle is chosen at random, what is the probability that the point is outside the square?
round your answer to the nearest tenth of a percent
Answer:
36.3%
Step-by-step explanation:
If a square is inscribed in a circle, the diagonals of the square must pass through the center of the circle and be equal to the diameter
Radius of circle = 72
Diameter of circle = 72 x 2 = 144
Therefore the diagonal of the square:
d = 144
If the side of a square is a, the diagonal is given by the formula
d = a√2
Plugging in the known value of d = 144 we get
a√2 = 144
a = 144/√2
Area of the square = a² = (144/√2)² = 144²/2 = 10,368
Area of the circle = πr² = (72)² x π = 16,286 rounded to nearest integer
Area of region outside the square = 16,286 - 10, 368 = 5,918
P(point outside square) = Area of region outside square/area of circle
= 5,918/16,286
= 0.3634
= 36.34 %
= 36.3 % rounded to the nearest tenth
If it takes 2men 11 days to dig 7 well, how many days should 7men dig 21well
7 men should be able to dig 21 wells in approximately 4.7 days.
How to determine the number of daysFrom the question, we have the following parameters that can be used in our computation:
If it takes 2men 11 days to dig 7 well, How many days should 7men dig 21wellWe can use the formula:
Number of days = (number of wells * number of days per well) / number of men.
So, we have
Number of days per well for 2 men:
11 days / 7 wells = 1.5714 days per well.
Using the above as a guide, we have the following:
the number of days for 7 men to dig 21 wells:
21 wells * 1.5714 days per well / 7 men = 4.7142days.
Hence, the number of days is 4.7 days.
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_ + 81 = 9(7+9)
Fill in the blank to complete the equation
Answer:
Step-by-step explanation:
To solve the equation, we can simplify the expression on the right side of the equation first:
9(7+9) = 9(16) = 144
Then, we can rewrite the equation as:
x + 81 = 144
To solve for x, we can subtract 81 from both sides:
x + 81 - 81 = 144 - 81
x = 63
Therefore, the completed equation is:
63 + 81 = 9(7+9)
Answer:
63
Step-by-step explanation:
First solve the right side of the equation by expanding the parenthesis using the BODMAS and Distributive Law:
9(7 + 9) = 9(16)
= 144
Now equate the above answer to the left side of the equation:
—- + 81 = 144
—- = 144 - 81
= 63
Just find the volume of this cone. Round to nearest tenth if necessary.
Answer:
354.933mmcube
Step-by-step explanation:
solution
Given,
Radius (r) = d/2
=11/2
5.5mm
Height (h) = 11.2
volume of cone (v) = ?
Now ,
volume of cone= 1/3 πrpower2×h
= 1/3×22/7×5.5×5.5×11.2
=1/3×22/7×338.8
= 1/3× 1064.8
= 354.933mmcube
¿Como se resuelve este problema? Ayudenme please 43+n+24+n=137
Oliver is painting a picture for a school project. He goes to the store and purchases a rectangular canvas to paint on. If the canvas has a length of 9 inches and a width of 6 inches, how many square inches is the area of the canvas?
Answer:
the answer is
54
Step-by-step explanation:
substitute the inch (9) and wide (6) into formula and 9 x 6 = 54
Answer:
54
Step-by-step explanation:
length x width
9x6=54
(EXTRA) To print out all elements of a two-dimensional array you would normally use a(n) _________ loop.
To print out all elements of a two-dimensional array you would normally use a(n) for loop.
What is an array?A collection of elements with the same data type that are stored in sequential memory regions is known as an array. As a result, it is easier to determine each element's position by simply adding an offset to a base value, which is the address in memory where the array's first element is stored (generally denoted by the name of the array).
By defining iteration in a control flow statement, a for loop enables code to be run repeatedly.
A for loop's body, which is executed once for each iteration, and its header both specify the iteration.
Two for loops can be used to print the elements of a two-dimensional array.
Therefore, for loop is used for two dimensional array printing.
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The straight line L has equation y = 1/2x+7 The straight line M is parallel to L and passes through the point (0, 3). Write down an equation for the line M.
Answer:
y = 1/2x +3
Step-by-step explanation:
Since they are parallel lines the slope will remain the same
now we need to find the y intercept and we will have the equation
Lucky we know that our y intercept is three
y = (slope)*x + (y intercept)
y = 1/2 x +3
Jenny and julian are hiking jenny starts at an elevation of 480 feet and is hiking down a mountain at a constant rate of 15 feet per minute so her elevation is decreasing 15 feet every minute at the same time julian starts at an elevation of 200 feet and is hiking at a rate of 5 feet per minute so her elevation is increasing at a rate of 5 feet every minute. the variable T represents the time in minutes they have been hiking. When will the two hikers be at the same elevation?
Answer:
Time taken for both hikers to be at the same elevation = 14 minutes
At that time, they will both be at an elevation of 270 feet
Step-by-step explanation:
Let us represent Jenny's current elevation by x and Julian's current elevation by y
Let T be the time taken when the hikers reach the same elevation
For Jenny
Initially Jenny's elevation is at 480 feetHer rate of descent (vertically) is 15 feet per minuteSo in T minutes she would have descended 15T feet. Jenny's elevation after T minutes = 480 - 15T feetFor Julian
Initial elevation = 200 feetRate of vertical ascent = 5 feet /minuteAfter T minutes, vertical ascent = 5T minutesHis elevation would be : 200 + 5TSince at this point in time, the elevation of both hikers is equal,Check working
After 14 minutes, Jenny's elevation = 480 - 15 x 14 = 480 = 210 = 270 feet
After 14 minutes, Julian's elevation = 200 + 5 x 14 = 200 + 70 = 270 feet
So it checks out
Suppose the line tangent to the graph of f at x is yx and suppose yx is the line tangent to the graph of g at x. Find the line tangent to the following curves. I need help with the f(x)=g(x) part of the question.
The line tangent to the graphs are y = 77 and y = -74/49(x - 2) + [f(2)/g(2)].
How to determine the tangent linesFunction (1)
From the question, we have the following parameters that can be used in our computation:
y = 4x+ 3 and y = 6x - 5
At x = 2, we have
y = 4(2) + 3 and y = 6(2) - 5
So, we have
y = 11 and y = 7
So, we have:
Tangent line: y = 11 * 7
y = 77
Function 2
Here, we have
The derivative of the quotient of two functions:
(d/dx)(f(x)/g(x)) = (g(x) * df/dx - f(x) * dg/dx) / g(x)^2
Substituting the tangent lines for f and g, we get:
(d/dx)(f(x)/g(x)) = (6x - 5 * 4 - (4x + 3) * 6) / (6x - 5)^2
Evaluating at x = 2, we get:
(d/dx)(f(x)/g(x)) = (-16 - 18) / (-3)^2 = -74/49
Hence, the line tangent to the graph of y = f(x)/g(x) at x = 2 is y = -74/49(x - 2) + [f(2)/g(2)].
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Use the simple interest formula to determine the missing value.
p = ? r = 6% t = 3 months i= 21$
Answer:
p = 1,400
Step-by-step explanation:
Simple Interest Formula:In the simple interest rate formula, each year the same amount of interest is applied, as it's based off the initial amount invested and the interest rate.
[tex]I=P*r*t[/tex]
Where "r" is the interest rate, "t" is time, and "p" is the principle amount, or initial amount invested.
We're given the following values:
r = 6% = 0.06t = 3 monthsi = 21Now the only thing is generally speaking, interest is applied annually rather than monthly. So we would need to convert the 3 months into years, which we can do by dividing by 12, giving us: 0.25 years
So we actually have: t = 0.25 years
Now from here we can plug in known values, and leave anything we don't know alone. So we start with our initial formula of:
[tex]I=P*r*t[/tex]
Now from here we plug in i = 21, t = 0.25, r = 0.06 and leave "P" as "P"
[tex]21=P*0.25*0.06[/tex]
Now let's simplify the multiplication on the right side:
[tex]21 = 0.015P[/tex]
Divide both sides by 0.015:
[tex]1,400=P[/tex]
And now we have our missing value!
Answer for below please
Answer:
Half the Area of MNPQ.
Step-by-step explanation:
The triangles outside of the square are all equilateral, which if connected makes a square. So, two squares multiplied together create one gigantic square, making the area of ABCD half of the area of MNPQ.
A flyer posted at a market at a rectangular piece of paper that is 11 inches (n) long and is a 8.5 in. Wide. Find the Units for the area of the rectangle defined by this flyer
Answer:
Step-by-step explanation:
The area of a rectangle can be calculated as the product of its length and width. In this case, the length of the rectangle is 11 inches and the width is 8.5 inches, so the area is:
Area = 11 inches * 8.5 inches = 93.5 square inches
So the units of the area of the rectangle defined by the flyer are square inches.
What is the distance between -4,4 and 2,-8