Answer:
Step-by-step explanation:
mp of a book is rs. 250 if the shopkeeper allows 14% discount to his customers and gains 25% . find the cp.
The cost price that was used to get the book is: R.S 172
How to find the cost price?The parameters given are:
Marked Price: M.P = RS. 250
Discount allowed = 10%
The formula to find the selling price here will be:
S.P = M.P * (100 - Discount)/100
Thus:
S.P = 250 * (100 - 14)/100
S.P = 250 * 0.86
S.P = R.S 215
Since the profit is 25%, then we have:
Cost Price = (S.P * 100)/(100 + Gain%)
Cost price = (215 * 100)/(100 + 25)
Cost Price = 21500/125
Cost price = R.S 172
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Wyatt bought stock in a company two years ago that was worth x dollars. During the
first year that he owned the stock, it increased by 37%. During the second year the
value of the stock increased by 29%. Write an expression in terms of a that
represents the value of the stock after the two years have passed.
x
A
Answer:
Therefore, the expression that represents the value of the stock after the two years have passed in terms of x is:
A = 1.7673x
How precisely are stocks chosen?By dividing the number of shares they possess by the total number of outstanding shares and multiplying the result by 100, stockholders can calculate their ownership stake in a corporation.
After the first year, the value of the stock increased to:
x + 0.37x = 1.37x
After the second year, the value of the stock increased to:
1.37x + 0.29(1.37x) = 1.37x + 0.3973x = 1.7673x
Therefore, the expression that represents the value of the stock after the two years have passed in terms of x is:
A = 1.7673x
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Which statement correctly compares the spreads of the distributions?
A. The interquartile ranges (IQRs) are the same,
® 3. The range of team B's scores is greater than the range of team As
scores
C. The interquartile range (IQR) of team B's
scores is greater than IQR
of team A's scores.
D The interquartile range (IQR) of team As scores is greater than S IQR
of team Bs scores
After answering the provided question, we can conclude that C. The expression interquartile range (IQR) of team B's scores exceeds that of team A's scores.
what is expression ?An expression in mathematics is a collection of representations, digits, and huge corporations that represent a statistical correlation or fitness regime. A square root, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, basic arithmetic, rapid spread, polarisation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
We can see from the box plots in the image that the box plot for team B is wider than the box plot for team A, indicating that team B has a wider range of scores. As a result, the correct statement comparing the distribution spreads is:
C. The interquartile range (IQR) of team B's scores exceeds that of team A's scores.
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One group of 40 students has a mean score 75in exam.A second group of 50 students has a mean score of 60.A third group of 30 students has a mean score of 85.Find the mean of all 120 stidents
Answer:73
Step-by-step explanation:
add 75 + 60 + 85 = 220
then divide to divide you need to find how much times you added then divide by 220 so 75 + 60 + 85 which is 3 times so you divide 220 by 3 and you get 73.33333333333333 or 73
an area rug has a length of 8 feet in the width of 5 feet. What is the diagonal distance across the rug?
We can use the Pythagorean theorem to find the diagonal distance across the rug. According to the theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side (the hypotenuse).
In this case, the length and width of the rug form the two shorter sides of a right triangle, and the diagonal distance is the hypotenuse. So we can use the formula:
diagonal^2 = length^2 + width^2
Plugging in the values given in the problem, we get:
diagonal^2 = 8^2 + 5^2
diagonal^2 = 64 + 25
diagonal^2 = 89
To solve for the diagonal, we take the square root of both sides:
diagonal = sqrt(89)
Using a calculator, we get:
diagonal ≈ 9.43 feet
Therefore, the diagonal distance across the rug is approximately 9.43 feet.
Four times a number is greater than -48. Define a variable, write an inequality, and solve the problem.
Answer:
n is greater than negative 12
Step-by-step explanation:
I put the answer on the attached please see it
What is the longest flagpole (in whole feet) that could be shipped in a box that measures 3 ft by 3 ft by 14 ft?
Answer: 14 feet
Step-by-step explanation:
Answer: 12 feet
Step-by-step explanation: The longest flagpole that could be shipped in a box is approximately 12 ft .
Find the sum of the geometric series 3 + (-6) + ... + 768
The sum of the geometric series is 513.
EquationsTo find the sum of a geometric series, we use the formula:
S_n = a[tex](1-r^{n})[/tex] / (1 - r)
where S is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, we know that the first term is 3, and the common ratio is -2. To find the number of terms, we need to determine what value of n satisfies the equation:
768 = 3 x [tex](-2^{n-1} )[/tex]
We can simplify this equation by dividing both sides by 3:
256 = [tex](-2^{n-1} )[/tex]
Taking the logarithm of both sides (to base 2), we get:
n - 1 = [tex]log_{2}[/tex](256)
n - 1 = 8
n = 9
Therefore, there are 9 terms in the series for this question.
Using the formula for the sum of a geometric series, we have:
S = 3(1 - [tex](-2^{9} )[/tex] / (1 - (-2))
S = 3(1 - (-512)) / 3
S = 3(513) / 3
S = 513
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Need help with this question please
Answer: 22
Step-by-step explanation:
perimeter = a+b+c+d
84 = 4x+4x+(4x+2)+(4x+2)
84 = 16x + 4
80 = 16x
5 = x
length:
=4x+2
=4(5)+2
=22
How do you write an equation in standard form for a line that passes through (-5, 2) and (1, -2)?
In response to the query, we can state that Hence, 2x + 3y = -4 is the equation equation of the line in standard form.
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
y - y1 = m(x - x1) (x - x1)
where m is the slope of the line and (x1, y1) is one of the line's points.
With the two provided locations, we can first determine the slope of the line:
m = (y2 - y1)/(x2 - x1) = (-2 - 2)/(1 - (-5)) = -4/6 = -2/3
Let's utilise the point-slope form with one of the given points, (-5, 2):
y - 2 = (-2/3)(x - (-5))
y - 2 = (-2/3)x - 10/3
When we multiply both sides by 3, we obtain:
3y - 6 = -2x - 10
2x + 3y = -4
Hence, 2x + 3y = -4 is the equation of the line in standard form.
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can you guys and girls help me
Alex does not have enough strawberries to make fruit salad and jam.
What are mixed fractions?A mixed fraction is a fraction that is created by fusing a fraction with a whole number.
An improper fraction is a fraction that cannot be further simplified and has a numerator higher than or equal to the denominator. For instance, 13/5 is a bad fraction. Let's find the mixed fraction equivalent of this incorrect fraction. Divide the denominator by the numerator in step 1. Step 2: Track down the rest. In step 3, arrange the numbers as follows: quotient, followed by a portion of the remainder or divisor.
Given that, Alex wants to use 1 3/4 and 3 1/2 cups of strawberries.
Thus the total strawberries are:
1 3/4 + 3 1/2
= 7/4 + 7/2
Taking LCM we have:
= 21/4 = 5.2 cups
Hence, Alex does not have enough strawberries to make fruit salad and jam.
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What type of sampling is used to conduct a study on depression among the elderly, a sample of 30 patients in one nursing home was used
The type of sampling used to conduct a study on depression among the elderly is convenience sampling, which is a type of non-probability sampling technique where samples are selected because they are conveniently available and accessible, and the sample size for this study was calculated to be 30.
The type of sampling used to conduct a study on depression among the elderly is convenience sampling. Convenience sampling is a type of non-probability non-probability where samples are selected because they are conveniently available and accessible .
In this study, a sample of 30 patients in one nursing home was used for the convenience sampling. The formula for calculating the sample size for convenience sampling is [tex]N = (N1*N2)/(N1+N2[/tex]), where N is the sample size, N1 is the population size, and N2 is the desired sample size. In this case, N1 is the total number of elderly patients in the nursing home, and N2 is 30. Therefore, the sample size for this study is calculated as follows: [tex]N = (N1*30)/(N1+30) = 30[/tex].
Convenience sampling is a quick and easy way of obtaining a sample, but it can be biased due to the presence of sampling errors and selection bias. Sampling errors occur when the sample is not representative of the overall population, while selection bias occurs when certain groups of people are more likely to be included in the sample than others. Therefore, it is important to consider the potential sources of bias when conducting a study using convenience sampling.
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Compare the functions f(x) and g(x) and choose the correct statement.
f(x)=3x-2
1. They are the same function.
2. f(x) has a greater y-intercept than g(x).
3. g(x) has a steeper slope than f(x).
4. f(x) has a steeper slope than g(x).
Answering the question, we may state that incorrect. In conclusion, none of the claims are true based function on the facts provided.
what is function?Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
It is difficult to compare g(x) with f(x) and establish whether they are the same function or not since g(x) is not provided. Option 1 is thus incorrect.
Setting x = 0 and figuring out y will reveal the y-intercept of f(x). Hence, f(0) = 3(0) - 2 = -2. This indicates that f(xy-intercept )'s is -2. No details are provided on the y-intercept of g. (x).
It is impossible to tell if f(x) has a sharper slope than g because f(x) has a slope of 3 and g(xslope )'s is unknown (x). As a result, choice 4 is also incorrect.
In conclusion, none of the claims are true based on the facts provided.
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What is 1/10 the value of 6 in 46.12
Answer:
The digit 6 in 46.12 is in the tenths place. Therefore, 1/10 the value of 6 in 46.12 is simply 6/10 or 0.6.
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The correct options are:
x² + (y-6)² = 36
x² + (y+8)² = 36
How does diameter work?
the distance that a straight line must travel in order to connect two points on opposite edges of a circular object or shape The diameter is twice as large as the radius. The pond's circumference is six feet.
Since the circle's centre is on the y-axis, its x-coordinate is zero. Moreover, the circle's radius is 6 units because its diameter is 12 units.
As a result, the equations that depict circles with a centre on the y-axis and a diameter of 12 units are as follows:
(x-0)² + (y-h)² = r², where h is the y-coordinate of the center and r is the radius of the circle.
(x-0)² + (y-k)² = r², where k is the y-coordinate of the center and r is the radius of the circle.
2 = r2, where k is the circle's center's y-coordinate and r is its radius.
We can see from these equations that circles with a diameter of 12 units and a centre on the y-axis are represented by the following equations:
x² + (y-6)² = 36 (center at (0,6))
x² + (y+6)² = 36 (center at (0,-6))
As a result, the following choices depict circles that satisfy these requirements:
x² + (y-6)² = 36
x² + (y+8)² = 36
The appropriate choices are thus:
x² + (y-6)² = 36
x² + (y+8)² = 36
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a medical diagnosis app lets users track their symptoms. whenever a user reports a symptom, the app adds a row to a database table. each row contains: the user id the date of the report the time of the report a description of how they're feeling the severity of the feeling (1-10) here are a few rows from the table: user id date time description severity 62038 11/19/2018 07:52 skin rash on arms 4 20394 09/24/2018 03:45 pounding headache 9 36917 04/11/2018 23:22 leg cramps 2 the app marketing team wants to understand their users better and asks the data analyst for various statistics. which statistic can not be calculated from the table of reports? choose 1 answer: choose 1 answer: (choice a) the average duration of the feeling. a the average duration of the feeling. (choice b) the user id with the most number of reports. b the user id with the most number of reports. (choice c) the total number of reports from all users. c the total number of reports from all users. (choice d) the distribution of severity ratings across reports. d the distribution of severity ratings across reports.
Option d is correct.
The distribution of severity ratings across reports can also be calculated by counting the number of reports with each severity rating.
The statistic that cannot be calculated from the table of reports is the average duration of the feeling.
This is because the table only provides information about the date, time, description, and severity of the feeling, but not the duration.
To calculate the average duration, one would need to take the difference between the time of the first report and the time of the last report for each user.
This information is not provided in the table.
However, other statistics can be calculated from the table of reports.
For example, the user id with the most number of reports can be calculated by counting the number of reports for each user and identifying the user with the highest count.
Similarly, the total number of reports from all users can be calculated by simply adding up the total number of rows in the table.
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for a tetrahedron abcd a plane p is called a middle plane if all four distances from the vertices a, b, c and d to the plane p are the same. how many middle planes are there for a given tetrahedron?
There are no middle planes for a given tetrahedron. This is because a tetrahedron is a three-dimensional figure with four faces, each of which is a triangle. Each of the four vertices of a tetrahedron is equidistant from one of the faces, but not from any of the other three faces. Therefore, there are no planes that are equidistant from all four vertices of a tetrahedron.
To further explain, let's consider the four distances from the vertices A, B, C, and D to a plane P. If all four distances are the same, then the plane P must be equidistant from all four vertices. However, this is not possible in a tetrahedron because each vertex is closer to one face than it is to the other three faces. Therefore, there are no middle planes in a tetrahedron.
In conclusion, there are no middle planes for a given tetrahedron because each vertex is closer to one face than it is to the other three faces.
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If the length of the minor arc in the small tree ring is equal to 3 inches, what is the length of the minor are in the large tree ring?
Answer: There is not enough information to answer the question accurately.
The length of the minor arc in a tree ring depends on the circumference of the tree ring and the angle that the arc subtends at the center of the ring. Without additional information about the sizes and shapes of the two tree rings, we cannot determine the length of the minor arc in the large tree ring based solely on the length of the minor arc in the small tree ring.
Step-by-step explanation:
How to multiply a exponent with diferent bases
you can multiply the two bases together and then raise the product to the sum of the exponents.
When you have two exponential expressions with different bases and want to multiply them together, you cannot directly multiply the bases together.
An exponent is a mathematical notation that indicates the number of times a number, variable, or expression is multiplied by itself. It is usually written as a superscript to the right of the base number, as in "[tex]a^b[/tex]", where "a" is the base and "b" is the exponent.
The exponent "b" tells us how many times the base "a" should be multiplied by itself. For example, in the expression 2c, the base is 2, and the exponent is 3. This means that we need to multiply 2 by itself three times, resulting in 2 × 2 × 2 = 8.
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The tire on Levi's bike moves 6.25 feet in one rotation. How far will the tire move in 10.5 rotations?
Answer:
A bicycle with 26 inch diameter wheels travels a distance of 200 feet. Find the number of revolutions. I am not sure
Step-by-step explanation:
Last week Steve spent $22 on 4 ice cream cones. This week he spent $33 on 6 ice cream cones. If each ice cream cone costs the same amount of money, what is the constant of proportionality (unit rate) between the money spent and the number of ice cream cones bought?
We may infer that the constant of proportionality (unit rate) between the amount spent and the quantity of ice cream cones purchased is $5.50 per cone because the unit rate is the same for both weeks.
The unit rate, or constant of proportionality, between the amount spent and the quantity of ice cream cones purchased is $5.50 per cone.
We divide the total sum by the quantity of cones purchased to determine the unit rate.
The unit rate for last week is: $22 x 4 cones = $5.50 per cone.
The unit price for this week is: $33 divided by six cones, or $5.50 each cone.
We may infer that the constant of proportionality (unit rate) between the amount spent and the quantity of ice cream cones purchased is $5.50 per cone because the unit rate is the same for both weeks.
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Using Pythagoras' theorem, calculate the length of the hypotenuse in this right- angled triangle. Give your answer in centimetres (cm) to 1 d.p. 2 cm 1.5 cm
Answer:
2.5 cm
Step-by-step explanation:
In any right triangle, the formula [tex]a^2+b^2=c^2[/tex] can be used to find its side lengths.
Given the side lengths,
[tex]a = 2 \\b = 1.5\\\\2^2+1.5^2=c^2\\4+2.25=c^2\\6.25=c^2\\c=\sqrt{6.25}\\c=2.5[/tex]
Can u work out Q1 & Q2 out?
I need an answer as quick as possible.
A. (√6)^2×(√2)^2=
{(6)^1/2×2}×{2^1/2×2}=
6^1×2^1=
6×2=12
B. (3√3^3)×(√12^2)=
(3√27)×(√144)=
3×12=36
Marques wants to use a sheet of fiberboard 36 inches long to create a skateboard ramp with a 30^{\circ}
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
The ramp will rise 20.79 inches from the ground at its highest end.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's assume that the ramp will be in the shape of a right triangle, where the length of the base (the horizontal distance from the ground to the highest end of the ramp) is 36 inches and the angle between the base and the hypotenuse (the ramp itself) is 30 degrees.
We can use trigonometry to find the height of the ramp (the vertical distance from the ground to the highest end of the ramp).
First, we need to find the length of the hypotenuse. We can use the formula:
hypotenuse = base / cosine(angle)
In this case, the base is 36 inches and the angle is 30 degrees, so:
hypotenuse = 36 / cosine(30) = 41.57 inches (rounded to the nearest hundredth)
Next, we can use the formula for the sine of an angle:
sine(angle) = opposite / hypotenuse
In this case, the opposite side (the height of the ramp) is what we want to find. So we can rearrange the formula to solve for the height:
height = sine(angle) x hypotenuse
Plugging in the values we know, we get:
height = sine(30) x 41.57 = 20.79 inches (rounded to the nearest hundredth)
Therefore, the ramp will rise 20.79 inches from the ground at its highest end.
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ion using long division or synthetic division. ks on the back to complete the story. (x^(4)+x^(3)-8x^(2)-13x-7)-:(x+2)
Using synthetic division, you can solve the following equation: (x^(4)+x^(3)-8x^(2)-13x-7)-:(x+2).
Step 1: Write down the coefficients of the polynomial in the top row of the synthetic division table.
x^(4) x^(3) -8x^(2) -13x -7
Step 2: Write the divisor in the left-most column.
x+2
Step 3: Bring down the first coefficient of the dividend and write it in the second row of the table.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7
Step 4: Multiply the divisor by the number in the second row and write it in the third row.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7 | x+2
x^(2) -15x -19
Step 5: Subtract the third row from the second row and write it in the fourth row.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7 | x+2
x^(2) -15x -19 | x+2
-7x -26
Step 6: Bring down the next coefficient in the first row and repeat steps 4 and 5.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7 | x+2
x^(2) -15x -19 | x+2
-7x -26 | -7
-22
Step 7: Multiply the divisor by the number in the fourth row and write it in the fifth row.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7 | x+2
x^(2) -15x -19 | x+2
-7x -26 | -7
-22 | -14
Step 8: Subtract the fifth row from the fourth row and write it in the sixth row.
x^(4) x^(3) -8x^(2) -13x -7 | x+2
x^(3) -8x^(2) -13x -7 | x+2
x^(2) -15x -19 | x+2
-7x -26 | -7
-22 | -14
8
Step 9: The final answer is: (x^(4)+x^(3)-8x^(2)-13x-7)/(x+2) = x^3-7x^2-15x-26 + 8/(x+2).
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Find the gradient of the line passing through (-2, 5) and (5, -5)
Answer:
slope = - [tex]\frac{10}{7}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (5, - 5 )
m = [tex]\frac{-5-5}{5-(-2)}[/tex] = [tex]\frac{-10}{5+2}[/tex] = - [tex]\frac{10}{7}[/tex]
The ratio t:m is 3:8 and the ratio m:w is 4:7. Work out the ratio t:m:w in its simplest form.
The value of the ratio t:m:w in its simplest form is 3:8:28.
Ratio Problem: Simplifying t:m:wTo simplify the ratio t:m:w, we need to find the common factor between t, m, and w.
Using the given ratios, we can write t:m:w as (3x):(8x):(28y), where x is the common factor between t and m and y is the common factor between m and w.
From the given ratio t : m = 3:8, we can say that t is equal to 3 and m is equal to 8.
Similarly, from the given ratio m:w = 4:7, we can say that m is equal to 4 and w is equal to 7.
So, we have
t : m = 3:8 and m:w = 4:7
Multuiply second by 2
t : m = 3:8 and m:w = 8:14
So, we have
t : m : w = 3 : 8 : 14
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5x+4y=ー7 -5x-2y =1 elimination
Answer:
To eliminate x, add the two equations together:
5x + 4y = -7
(-5x - 2y = 1)
2y = -6
Solve for y:
2y = -6
y = -3
Substitute y = -3 into one of the original equations, say -5x - 2y = 1, and solve for x:
-5x - 2y = 1
-5x - 2(-3) = 1
-5x + 6 = 1
-5x = -5
x = 1
Therefore, the solution is (x, y) = (1, -3).
Step-by-step explanation:
1) You are at (-4, 3). You move 2 units up and 6 units right. Where do you land?
Given a starting point of (-4, 3), if move 2 units up and 6 units right, you will end up at the point (2,5).
You are at (-4, 3). You move 2 units up and 6 units right. Where do you land?A point in a coordinate system has two coordinates - an x-coordinate and a y-coordinate.
The x-coordinate tells you how far to move horizontally from the origin (0,0), and the y-coordinate tells you how far to move vertically from the origin.
Given the point (-4,3) means that you start at the point that is 4 units to the left of the origin and 3 units above the origin.
Now, moving 2 units up from (-4,3), you will end up at the point that is 2 units higher on the y-axis.
So, your new y-coordinate will be 3 + 2 = 5.
When you move 6 units right from (-4,3), you will end up at the point that is 6 units to the right on the x-axis.
So, your new x-coordinate will be -4 + 6 = 2.
Therefore, you end up at the point (2,5).
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Help pleaseee struggling!
Answer: The distance from the ball to the goal is 11.86 ft.
Step-by-step explanation:
Answer:
≈ 11.9 feet
Step-by-step explanation: