[tex]\begin{array}{cccccccccccc} &&&&&&&&&\downarrow &&\downarrow \\ value&\stackrel{1^3+1}{2}&&\stackrel{2^3+1}{9}&&\stackrel{3^3+1}{28}&&\stackrel{4^3 + 1}{65}&&\stackrel{5^3 + 1}{126}&&\stackrel{6^3 + 1}{217} \\\cline{1-12} term&1&&2&&3&&4&&5&&6 \end{array}[/tex]
Which of the following alternatives are similar monomials?
a) 8x and -7x
b) 5a² and 5a
c) 4 and -17
d) 2ab and 3abc
e) -3ab and 9abc
f) - [tex]\frac{x}{3}[/tex] and 11x
The alternatives that are similar monomials are given as follows:
a) 8x and -7x.
c) 4 and -17.
f) -x/3 and 11x.
What are similar monomials?Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.
Hence options a, c and f are correct in this problem.
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Please Help me its a math question i will give brainlist please !!! the image is attached
Answer:
D
Step-by-step explanation:
When you reflect the point it goes to point (-2,5). From that point, go 4 left and 8 down. That gets you to (-2,-3)
Which equation below
represents exponential
growth?
a. y=3x^2-5
b. y = 3(2/5)^x
c. y=3(5)^x
d. y=3x-5
A ________ standard deviation represents an overall wide spread of data points while a ________ standard deviation represents a closely clustered set of points.
Answers are in bold
A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.
Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.
If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.
A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.
What is standard deviation?The term "standard deviation refers to a measurement of the data's dispersion from the mean.
A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The standard deviation cannot be negative, so keep that in mind. The most tightly clustered set of data is one with a standard deviation of 0, which denotes that all the data values are the same.
The size of the standard deviation has no upper bound.
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Points A, B, and C are located on a circle, and chords exist between all three points. If the measure of ∠BAC is 88°, what is the measure of BC?
The measure of the central angle of the circle BC = 176°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the three points be represented as A, B and C
Now , the measure of angle ∠BAC = 88°
And , the measure of the central angle is given by
Central Angle = 2 x Angle in other segment
On simplifying the equation , we get
The measure of central angle BC = 2 x 88°
The measure of central angle BC = 176°
Hence , the measure of central angle is 176°
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Find the total surface area of the cone in the figure. (Use π = 3.14.)
radius - 5cm, height - 12cm
please help Tragize towels to the correct boxes to complete the pairs. Match the pairs of values
The results of the division of polynomials are given as follows:
h(x) = x + 3 for f(x) = x² - 9 and g(x) = x - 3.h(x) = x + 4 for f(x) = x² - 16 and g(x) = x - 4.h(x) = x - 1 for f(x) = x² - 4x + 3 and g(x) = x - 3.h(x) = x + 5 for f(x) = x² + 4x - 5 and g(x) = x - 1.What is the division of x² - 9 by x - 3?Considering that x² - 9 is the subtraction of perfect squares, we have that:
x² - 9 = (x - 3)(x + 3)
Hence the division is:
h(x) = (x - 3)(x + 3)/(x - 3) = x + 3.
What is the division of x² - 16 by x - 4?Considering that x² - 16 is the subtraction of perfect squares, we have that:
x² - 16 = (x - 4)(x + 4)
Hence the division is:
h(x) = (x - 4)(x + 4)/(x - 4) = x + 4.
What is the division of x² - 4x + 3 by x - 3?Considering that the roots of x² - 4x + 3 are x = 1 and x = 3, we have that:
x² - 4x + 3 = (x - 1)(x - 3).
Hence the division is:
h(x) = (x - 1)(x - 3)/(x - 3) = x - 1.
What is the division of x² + 4x - 5 by x - 1?Considering that the roots of x² + 4x - 5 are x = -5 and x = 1, we have that:
x² + 4x - 3 = (x + 5)(x - 1).
Hence the division is:
h(x) = (x + 5)(x - 1)/(x - 1) = x + 5.
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Determine the seating capacity of an auditorium with 15 rows of seats if there are 25 seats in the first row, 29 seats in the second row, 33 seats in the third row, 37 seats in the forth row, and so on
Answer:
Step-by-step explanation:
15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.
1-25
2-29
3-33
4-37
5-41
6-45
7-49
8-53
9-57
10-61
11-65
12-69
13-73
14-77
15-81
Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795
So there are 795 seating capacity.
If Seven coins are flipped, what is the probability of obtaining at least one tail?
Answer:
7/14, so 50%
Step-by-step explanation:
PLEASE HELP IM STUCK ON THIS
Answer:
(-1,1)
Step-by-step explanation:
look where the two equations intercept that is usually the answer
x =
30°
xo
90°
Report a pro
Answer:
here is the answer
hope it helps u
happy to help
stay safe and healthy
step by step explanation :x=90(being adjacent angle)
now ,
x+30=180(being alternate angle)
x=180-30
x=150#
i think my answer ia wrong sorry -_-
Answer:
x=90
Step-by-step explanation:
x is on a straight line with 90 degrees (given angle measure angle)
you should do 180-90=90 to find that angle x is 90 degrees.
PLS HELP IM STUCK PLS
The slope of the linear function described in this problem is:
m = -3.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:
m = (-6 - 3)/(8 - 5) = -9/3 = -3
The slope of the linear function described in this problem is:
m = -3.
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What is the center of the ellipse x2+5y2–45=0?
Write your answer in simplified, rationalized form.
(___,___)
Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:
[tex]\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1[/tex]
Where center is at point (h,k)
From the equation of [tex]\displaystyle{x^2+5y^2-45=0}[/tex]. First, we add 45 both sides:
[tex]\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}[/tex]
Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:
[tex]\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}[/tex]
Therefore, the center of ellipse is at (0,0) since there are no values of h and k.
Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. How much more space (volume) is in the larger than the smaller? Round to the nearest tenth. (PLEASE ANSWER ASAP)
The number has over positive integer divisors. One of them is chosen at random. What is the probability that it is odd
The number has over positive integer divisors. One of them is chosen at random. If each divisor has the same probability, then the likelihood that a random one will be odd is precisely 1/19. This assumes that all divisors have the same probability. This is further explained below.
What is the probability that it is odd?Generally, The possibility of an occurrence may be quantified using the concept of probability. There are many occurrences that cannot be foreseen with complete accuracy.
In conclusion, The number may be divided into more than positive integers. A selection is made at random from among them. If each divisor has the same probability, then the chance that a random one would be odd is exactly 1/19. This assumes that each divisor has the same probability. This makes the assumption that the probability of each divisor is the same.
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Simplify each exponential expression using the properties of exponents and match it to the correct answer.
The match of solutions with the exponential expressions is
1) [tex]\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}=2[/tex]
2) [tex](3^3) (4^0)^2 (3(2))^{-3} (2^2)=1/2[/tex]
3) [tex]\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} =2[/tex]
4) [tex]\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}=1[/tex]
What are properties of exponents?The base will be multiplied by itself a certain number of times, as indicated by the exponent (also known as a power or degree).
What are the formulae/ properties for exponents?Formulae for solving exponents are referred to as exponents formulas. The exponent of a number is written as [tex]x^{n}[/tex], which means that x has been multiplied by itself n times.
[tex]x^{n}(x^{m})=x^{n+m} \\\frac{x^{n} }{x^{m} }=x^{n-m} \\(x^{n} )^{m} =x^{nm} \\((x)(y))^{n}=x^{n}(y^{n} \\x^{0}=1[/tex]
1) the solution of the first expression will be
[tex]\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}[/tex]
[tex](2^3) (3^{-6} ) (5^2) (3^4) / (3^{-2}) (10^2)= (2.2^2.5^2) (3^{-6}.3^4) / (3{^-2}) (10^2)= (2)(10^2) (3^{-2}) / (3^{-2}) (10^2)\\=2[/tex]
2)The solution of the second expression will be
[tex](3^3) (4^0)^2 (3(2))^{-3} (2^2)[/tex]
Any number with power zero is 1.
So,
[tex](3^3) (1^2) (3^{-3}) (2^{-3}) (2^2)= (2^{(-3+2)})=2^-1\\= 1/2[/tex]
3) The solution of third expression will be
[tex]\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} \\= \frac{(12^7) (2^{-3}) (5^{-3}) (5^2)}{(12^7) (5^{-1}) (2^{-4})} =\frac{(2^-3) (5^{(-3+2)})}{(5^{-1}) (2^{-4})} = \frac{(2^{-3}) (5^{-1})}{(5^{-1}) (2^{-}4)} = \frac{1}{(2^{-1})} = 2[/tex]
4) The solution to the forth expression will be
[tex]\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}\\=2^{0}\\ =1[/tex]
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Answer:
The person above litteraly gave you the answer just reread the first equations and then you will figure it out
Step-by-step explanation:
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines? cake can be cut into equal parts.
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.
This is further explained below.
What are gridlines?Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.
In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.
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HELPPPP!!!!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each given function with the description of its graph.
Answer:
y = 2(1/2)^x --> Second choice
y = (1/4)^x --> First choice
y = 3^x --> Third choice
Step-by-step explanation:
Take a look at the images uploaded for the reasons why.
y = 2(1/2)ˣ is y intercept (0,2) second choice, y = (1/4)ˣ is y intercept (0,1) first choice, y = 3ˣ is y intercept (0,1), fourth choice.
Let's break down each of the given exponential functions and understand their y-intercepts:
y = 2(1/2)ˣ :
When x = 0, the value of (1/2)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 2 * 1 = 2 when x = 0. This gives us the y-intercept (0, 2).
y = (1/4)ˣ :
Similarly, when x = 0, the value of (1/4)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
y = 3ˣ :
Again, when x = 0, the value of 3ˣ is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x is zero. In all three cases, when x = 0, the exponent becomes zero, resulting in the base being raised to the power of zero, which is always equal to 1. The graph is given below.
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A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $9.75, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Considering the definition of an inequality, the number of people who can go to the amusement park is 3.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Number of people who can go to the amusement parkIn this case, you know that:
A group of friends has no more than $65 to spend on parking and admission. Parking is $9.75, and tickets cost $16.25 per person, including tax.Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is
$9.75 + $16.25×p ≤$65
Solving:
$16.25×p ≤$65 - $9.75
$16.25×p ≤$55.25
p ≤$55.25÷ $16.25
p≤ 3.4
Finally, the number of people who can go to the amusement park is 3.
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A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0. 80. how much of the variance for the y scores is predicted by its relationship with x?
The amount of variance for y that is predicted by its relationship with x is 64%.
How much variance is predicted?
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.
Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.
Variance = (correlation coefficient²) x 100
(0.80²) x 100
0.64 x 100 = 64%
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Find the area of the trapezoid.
Hint: Use the formula for the area of
a trapezoid given below.
A = (b₁+b2) h
Trapezoid Area
= [?] cm²
b₁ = 6 cm
1h = 7 cm
b₂
=
8 cm please explain answer in full detail
The area of the trapezoid in the given image is: 49 cm².
What is a Trapezoid?A trapezoid can be described as a quadrilateral that has four sides, whereby one pair of opposite sides are parallel to each other.
How to Find the Area of a Trapezoid?The area of a trapezoid is calculated using the formula, Area = 1/2 × (a + b) × h, where:
a and b represents lengths of the parallel sides of the trapezoid
h = height of the trapezoid.
Given the parameters for the trapezoid as:
a = 6 cm
b = 8 cm
h = 7 cm
Plug in the values into Area = 1/2 × (a + b) × h:
Area of trapezoid = 1/2 × (6 + 8) × 7
Area of trapezoid = 1/2 × (14) × 7
Area of trapezoid = 7 × 7
Area of trapezoid = 49 cm²
Thus, the area of the trapezoid in the given image is: 49 cm².
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Four out of 5 students passed the entrance exam. On the same trend, if 252 students got passing mark, how many students took the examination?
Answer:
315 students
Step-by-step explanation:
Based on the question, we can deduce:
[tex] \frac{4}{5} = 80percent \: passing \: rate[/tex]
Next we can find out the total number of students who sat for the examination.
80% = 252
[tex]1percent \: = \frac{252}{80} \\ 100 \: percent = \frac{252}{80} \times 100 = 315 \: students [/tex]
For a fundraiser, 1000 raffle tickets are sold, and the winner is chosen at random. There is only one prize, $500 in cash. You buy one ticket. What is the probability you will win the prize of $500
Answer:
1/1000 = 0.001
Step-by-step explanation:
Out of the 1000 tickets only one will be chosen. And since you only bought one ticket you would get a 1/1000 chance to get chosen. If you turn 1/1000 into a decimal you get 0.001 or 0.1%. Say if you bought 2 tickets you would get a 2/1000 chance which would be a 0.2% chance and so on.
Solve the initial value problem.
ds 36t(91²-7)³, s(1)=1
dt
The solution is s =
Integrate both sides.
[tex]\displaystyle \int \frac{ds}{dt} \, dt = \int 36t (9t^2 - 7)^3 \, dt[/tex]
On the right side, substitute [tex]u=9t^2-7[/tex] and [tex]du=18t\,dt[/tex], so that
[tex]\displaystyle \int 36t (9t^2 - 7)^3 \, dt = 2 \int u^3 \, du = \frac12 u^4 + C = \frac12 (9t^2 - 7)^4 + C[/tex]
Use the initial value to solve for [tex]C[/tex].
[tex]s(1) = 1 \implies 1 = \dfrac12 (9 - 7)^4 + C \implies 1 = 8 + C \implies C=-7[/tex]
Then the particular solution is
[tex]s(t) = \boxed{\dfrac12 (9t^2 - 7)^4 - 7}[/tex]
Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? explain why this is true.
The desired minimum revenue is $130.
What is revenue?
Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.
The money received from routine business activities is referred to as revenue, sales, or the top line.Revenue (from the sale of goods or services) less operational expenses equals operating income.Non-operating income is irregular or irregular money that comes from other sources (e.g., lawsuit proceeds).Governments, nonprofit organizations, and private persons are examples of non-business entities that also declare revenue, albeit their methods and resources vary.Let us assume,
charge = b
customer= c
revenue= r
We know that,
r= bc
⇒ [tex]r=16\times 10[/tex]
⇒ [tex]r=\ 160[/tex]
Also,
[tex]b+1[/tex] ⇒ [tex]c-2[/tex]
with a target of [tex]r \geq 130[/tex]
Therefore,
[tex]b=10+x[/tex] ⇒ [tex]c=16-2x[/tex]
[tex](10+x)(16-2x)\geq 130\\160-20x+16x-2x^2 \geq 130\\-2x^2 -4x+30\geq 0\\x^2+2x-15\leq 0\\(x+1)^2 \leq 4^2\\x+1 \leq 4[/tex]
as negative value is not considered.
[tex]x\leq 3[/tex]
We get the result that [tex]\[/tex]3 is the maximum increase amount.
Therefore, revenue will be:
[tex](10+3)(16-3\times2)=13\times 10\\[/tex]
revenue = [tex]\[/tex]130
Full Question: Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour. Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions. Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.
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Answer:
The desired minimum revenue is $130.
What is revenue?
Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.
Step-by-step explanation:
Worked out for me :)
Find the value of t for a t-distribution with 50 degrees of freedom such that the area to the right of t equals 0.010. Round your answer to three decimal places, if necessary.
I WILL MARK BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!
Using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.
How to find the critical value of the t-distribution?It is found using a calculator, with two inputs, which are given by:
The confidence level.The number of degrees of freedom, which is one less than the sample size.In this problem, the inputs are given as follows:
Confidence level of 99%, as 1 - 0.01 = 0.99.49 degrees of freedom, as 50 - 1 = 49.Hence, using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.
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Choose the best answer. the diagonals of a square bisect each other at ___ angles.
right angles. .... . . . . ......
Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value for x into the second equation: 3. solve for y: 4. substitute y into either original equation: 5. write the solution as an ordered pair:
Two or more equations using the same variable are referred to mathematically as a "system of linear equations." These equations' solutions serve as a representation of the intersection of the lines.
According to the given information:Two equations are presented here:
1) x + 3y = 7
2) 2x + 4y = 8
First, in the first equation, we want to isolate x:
x + 3y = 7
x = 7 -3y
In order to create an equation that depends just on the variable y, we must now b) swap it out in the second equation.
2x + 4y = 8
2(7 - 3y) + 4y = 8
The value of y is now determined by solving this equation in step (c).
14 - 6y + 4y = 8
14 - 2y = 8
-2y = 8 - 14 = -6
y= 6/2= 3
d) With the value of y now available, we can change the equation we obtained in step a) by substituting it.
x = 7 - 3y
x = 7 - 3*3 = 7 - 9 = -2
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I understand that the question you are looking for is:
Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.
1. Isolate x in the first equation: x = 7 − 3y
2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8
3. Solve for y:
14 − 6y + 4y = 8
14 − 2y = 8
−2y = −6
y = 3
4. Substitute y into either original equation: x = 7 − 3(3)
5. Write the solution as an ordered pair:
In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60 minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?
In 90 minutes, she would have created 36 drawings.
How many total drawings will Frankita have created at the end of 90 minutes?The first step is to establish a pattern between time and the number of drawing that Frankita creates.
When the question is studied, it can be deduced that every 15 minutes the rate of increase in drawing is (previous drawing + (1 + rate of increase of previous drawing.
Drawing created in 30 minutes = 15 + 2 = 17
Drawing created in 45 minutes = 17 + ( 1 + 2) = 20
Drawing created in 60 minutes = 20 + (3 + 1 ) = 24
Drawing created in 75 minutes = 24 + (4 + 1) = 30
Drawing created in 90 minutes = 30 + (5 + 1) = 36
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Given a point A(-2,5), find the coordinates of a point B so that the line segment AB has each slope.
a) 2/3
b) -2/3
c) 4
d) -3
e) 0
f) undefined
Step-by-step explanation:
I understand this that we need to find a point B for each of a) to f).
remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.
a)
the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.
so, B = (-2 + 3, 5 + 2) = (1, 7)
b)
-2/3 means that either x or y have to decrease and the other to increase.
e.g. x increases by 3, y decreases by 2.
so, B = (-2 + 3, 5 - 2) = (1, 3)
c)
4 stands for 4/1.
so, x increases by 1, y increases by 4.
B = (-2 + 1, 5 + 4) = (-1, 9)
d)
similar to c) -3 stands for -3/1.
and similar to b) either x or y has to decrease and the other to increase.
e.g. x increases by 1, y decreases by 3.
B = (-2 + 1, 5 - 3) = (-1, 2)
e)
that means the y difference is 0. B has the same y coordinate.
e.g. B = (3, 5)
x can be any value.
the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.
f)
that means the x difference is 0. B has the same x coordinate.
e.g. B = (-2, 9)
y can be any value.
the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.
