Antwan determines the distance between the points –7 and 2 on a number line. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?

Maggie’s solution is the absolute value of Antwan’s solution.

Antwan’s solution is the absolute value of Maggie’s solution.

Both solutions are greater than either of the two numbers in the problem.

Both solutions are less than either of the two numbers in the problem.

The equation of the line is y=x+12.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The points are

(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

We have to Write the equation of the line.

According to given question we have,

Equation of line passing through the point (-3,9) and  (-9,3).

Slope of the line=

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]

⇒y−9=1(x+3)

⇒y-9=x+3

Add 9 on both sides we get,

y=x+12

∴ y=x+12 which is in the form y=mx +c is the required equation.

Therefore, the equation of the line is y=x+12.

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y = x + 12

What is equation of a line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

y-y₁=m(x-x₁)

mm₁=-1

Points (-3,9) and  (−9,3).

Slope of the line m = (y₂ - y₁)/(x₂ - x₁)

m = (3-9)/(-9+3)

m = 1

Now  equation of line passing through two points

(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)

(y - 9)/(3-9) = 1*(x - 3)/(-9+3)

y - 9 = x + 3

y = x + 12

Therefore, the equation of line is y = x + 12

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So S.P of the product is 10.4% .

We have been given C.P of a product is E950 and loss percentage is 6%,.

So the starting price is the the price for which something actually sells.

And the cost price represents the specific value that represents unit price purchased. This value is used as a key factor in determining profitability, and in some stock market theories it is used in establishing the value of stock holding.

A saving account has a rate of interest of 10 denoted by our which we can write equal to 0.1 in decimal form and we have to calculate the effective annual yield yield if the interest is calculated quarterly, that means we have the number of compounds per year denoted by M equal to four. The effective yield denoted by capital Y is given by the formula one plus are divided by M. Hold raised to the Power M -1. After putting in the values of R and M we get one plus 0.1 divided by four. Hold raised to the Power 4 -1, equal to one plus 0.25 raised to the power four minus one which is equal to 1.025 raised to the Power 4 -1. On simplifying this further, we get the value equal to 0.1038. Now this value is in the decimal form to convert it into percentage. We will multiply this value by 100. That means we have like 0.1038 multiplied by 100 Which gives us 10.38. And after rounding it off to one decimal place, we get the value 10.4%.

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Answer:

x = 27

Step-by-step explanation:

(5x - 32) + (3x - 4) = 180

8x - 36 = 180

x = 216

x = 27

m<NQR = 5x - 32 = 5*27 - 32 = 103

m<QRP = 3x - 4 = 3*27 - 4 = 77

No. of pennies and nickels are 53 and 29 respectively

Let the number of pennies be x

Let the number of nickels be y

Value of pennies = $0.01x

Value of nickels = $0.05y

It is given that value of pennies and nickels = $1.98

Therefore the equation will be,

0.01x + 0.05y = 1.98

x + 5y = 198------(1)

Also, the number of pennies is five less than twice of nickels

x = 2y - 5

2y - x = 5 -------(2)

Adding equations (1) and (2) we get,

(x + 5y) + (2y - x) = 203

7y = 203

y = 29

Substituting the value of y in equation (1) we get,

x = 53

Therefore, the no. of pennies is 53 and the no. of nickels is 29

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Bonjour,

Answer:

16 2/3 = 50/3

Step-by-step explanation:

16 2/3 = 16.6666666…

Change the percent to a decimal number by moving the decimal two places to the left.

Call this x = 0.16666666…

10x = 1.66666666…

100x 16.66666666…

Subtract 100x - 10x = 15

90x = 15

x = 15/90 = 1/6

16 2/3 % = 1/6

The first graph that we have in this question is the graph that can be used to model the relationship that we have in this table.

In this table we can see that what we are having is a linear equation. First we have to check the slope that lies in any two of the points

This would be;

( 112.5- 75) / ( 3- 2)  = 37.5 and

( 150 -112.50) / ( 4-3) = 37.50

We can have the equation of a straight line as:  y = mx + c

y = 37.50x + c, x = 2

then c = 75 - 75 =0

When plotted on the graph we would have the first graph as the best solution. Hence option 1 is right

Option 1 best fits the graph

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The result obtained are-

A frequency table is merely a "t-chart" or two-column table that illustrates the numerous possible outcomes and associated frequencies demonstrated in a sample.

Part 1: Smallest value;

As the frequency table is continuous distribution with a initial value of 4.

Thus, the smallest value of the table is 4.

Part 2: largest value;

As the frequency table is continuous distribution with a final value of 48.

Thus, the largest value of the table is 48.

Part 3: Median

The median is the number in the middle of a sorted list of numbers, and it is more descriptive of the data set than that of the average.

For even number of frequencies.

median = n/2

median = 12/2 = 6

Thus, the 6th term is the median.

median = 24.

Part 4: first quartile {Q1}

When data points are organized in increasing order, the lower quartile, or the first quartile (Q1), is indeed the value at which 25% of them are found.

Thus, Q1 = 12.

Part 3: third quartile {Q3}

When arranged in increasing order, the upper quartile, as well as third quartile (Q3), has been the value at which 75% of data points are found.

Q3 = 36.

The result for the frequency distribution is obtained.

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Answer: The pattern is that you -1 then -2 then -3.

Step-by-step explanation:

If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.

[tex]\cfrac{2}{3}\left( \cfrac{9}{10} \right)\left( \cfrac{1}{2} \right)\implies \cfrac{2}{3}\cdot \cfrac{9}{10}\cdot \cfrac{1}{2}\implies \cfrac{9}{3}\cdot \cfrac{1}{10}\cdot \cfrac{2}{2}\implies 3\cdot \cfrac{1}{10}\cdot 1\implies \cfrac{3}{10}[/tex]

Using exponent power property, ³√x²y³ = x^r y^s, where x and y are non-negative real numbers.

r, the exponent of x, is: 2/3

s, the exponent of y, is: 1

According to the Power of a Power Property, you can multiply the exponents if one exponent is increased to a higher exponent. This characteristic may be used to resolve the equation (3 x 2) 3.

³√x²y³ = x^r y^s

Cubing on both sides,

x²y³ = x^3r y^3s

As base is same, equating the powers

⇒ 2 = 3r; r = 2/3

⇒ 3 = 3s; s = 1

The expression

³√x²y³ = x^ry^s

where x and y are non-negative real numbers.

r, the exponent of X, is:

s, the exponent of y, is:

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if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.

In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

That is the only error with the graph.

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Answer:

1/2

Hope this helps with your question :)

Norma's family spends 120 mins at Mount Rushmore

The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.

The time they watched the movie = 1/3 of an hour

Time spent at Mount Rushmore = 1/6 of the whole time

The equations will be as follows:

1/3 of an hour = 1/6 of the whole time

20 mins = 1/6 of the whole time

120 mins = The time they spent at Mount Rushmore

So, Norma's family spends 120 mins at Mount Rushmore

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Answer:

https://www.omnicalculator.com/math/slope

Step-by-step explanation:

go there and you will get the answers or just type in Brainly on search bar the same question your asking on here!

Answer: -7/24

Step-by-step explanation:

move 2/3 to the opposite side of the equal sign which then changes the equation to...

3/8-2/3 = r

then change the denominators for both of them to 24.

so it would be 9/24 - 16/24

9-16 = -7

so it would be -7/24

Answer:

102

Step-by-step explanation:

x = 5th test

(82 + 76 + 90 + 0 + x) /5 = 70

248 + x = 70*5

x = 350 - 248

x = 102

The scaled triangles perimeter is 1/3 the size of the original triangles perimeter

All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.

A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional planar object having three sides and three angles. There are three edges and three vertices on it.

According to the given values;

original:

hieght=24   slant=  24    lenght=24

Scaled:

hieght=8  slant=  8   lenght=8

Looking at the dimension of both triangles,

The relationship between the original and the scaled copy is : 1/3*original

Hence, the perimeter is:1/3*perimeter(original)

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Lines can be perpendicular or parallel to one another.

What do we mean by linear equation?

So,

A linear equation is written as:  y = mx + b

Where, m = slope.

(A) Parallel equation:

The slope of a line parallel to y = mx + b is the same as the slope of y = mx + b, that is the slope is the equation in m.

The equation is then solved as follows:

Where:

Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁ as follows:

y = m (x - a) + c

y = mx - am + c

So, the equation of a line is y = mx - am + c.

(B) Parallel equation:

The slope (m2) of a perpendicular line to y = mx + b is:

The equation is then solved as follows:

Where:

Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁

The perpendicular line's equation is y = -(x/m) + a/m + c.

Therefore, lines can be perpendicular or parallel to one another.

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The correct question is given below:
Find the equations for the lines through the point (a,

c.that are parallel to and perpendicular to the line y = mx + b where m ≠ 0. use y for the dependent variable and all letters in lower case.

It should be noted that the seat number is C

Jean received seat number 108.

It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.

Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.

Rose received the.only seat number that is a prime number. This is 53

Therefore, the remaining number is 108.

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Answer:

x = 4       y = 21

Step-by-step explanation:

16x - 23 = 10x + 1

16x - 10x = 23 + 1

6x = 24

24/6 = x

x = 4

16(4) - 23 = 41

41 + (180 - 62) + y = 180

41 + 118 + y = 180

y = 21

πr² an example of a model.

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science).

Here, the area of a circle is calculated by the use of formula πr² where π is a constant 3.14 and r is a variable. Therefore this formula is used to find the area.

Thus, πr² an example of a model.

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The function g that is finally graphed after the transformations are applied is g(x) = -5f(-x) - 10

The function is given as:

f(x)

Next, we apply the transformations

So, we have:

(1) reflect about the x-axis;

This is represented as

(x, y) = (x, -y)

So, we have

g(x) = -f(x)

(2) shift down 2 units;

This is represented as

(x, y) = (x, y - 2)

So, we have

g(x) = -f(x) - 2

(3) stretch vertically by a factor 5;

This is represented as

(x, y) = (x, 5y)

So, we have

g(x) = 5(-f(x) - 2)

Evaluate

g(x) = -5f(x) - 10

(4) reflect about the y-axis.

This is represented as

(x, y) = (-x, y)

So, we have

g(x) = -5f(-x) - 10

Hence, the function g that is finally graphed after the following transformations are applied is g(x) = -5f(-x) - 10

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The Arithmetic sequences are-

The common difference must be same for the sequence to be arithmetic;

d₁ = a₂- a₁

d₂ = a₃ - a₂

Thus, d₁ = d₂

Check the common differences for given sequences are-

A. -5, 5, -5, 5, - 5, 5....

d₁ = 5 - (-5) = 10

d₂ = -5 - 5 = -10

d₁ ≠ d₂, not a Arithmetic sequences

B. 96, 48, 24, 12, 6...

d₁ = 48 - 96 = -48

d₂ = 24 - 48 = -24

d₁ ≠ d₂, not a Arithmetic sequences

C. 18, 5.5, -7, -19.5, -32...

d₁ = 5.5 - 18 = -12.5

d₂ = -7 - 5.5 =  - 12.5

d₁ = d₂,  Arithmetic sequences

D. -1, -3, -9, -27, -81....

d₁ = -3 -(-1) = -2

d₂ = -9 - (-3) = -6

d₁ ≠ d₂, not a Arithmetic sequences

E. 16, 32, 48, 64.....

d₁ = 32 - 16 = 16

d₂ = 48 - 32 = 16

d₁ = d₂,  Arithmetic sequences

Thus, the common difference must be equal for Arithmetic sequences.

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Answer:

11

Step-by-step explanation:

9 + 2 = 11

Best explanation I can give for this.

Answer: 11

Step-by-step explanation: bc i used a calculater

Step-by-step explanation:

work is shown and pictured

Answer:

1. acute

2. right

3. straight

Step-by-step explanation:

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]-4\left(1.5x-5\right)+4x=26[/tex]
Subtract 20 from both sides.
[tex]-2x+20-20=26-20[/tex]
-2x=6
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
[tex]x=-3[/tex]