Answers
The answer is A
\(y\text{ = x + 5}\)Related Questions
Help please please please
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hope it's helpful ❤❤❤❤❤❤
THANK YOU
Which sentence most clearly describes medium? O A. The presence of adventure elements in a mystery was obviously surprising O B. The story goes against peoples expectations of a typical romantic comedy O C. The plot began to drag as the story continued to introduce new characters O D. The ability to hear the character's voice through audio makes realistic,
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divide 794.1 by by 76.1 round off your answer to two decimal places
Answers
Answer:
794.1 ÷ 76.1= 10.4349.54
Round to the nearest whole number = 6
Round to the nearest tenth=5.6
Round to the nearest Hundredths=5.63
Round to the nearest Thousandth=5.635
how do you find the equivalent fraction of 1/2 and 1/3=
Answers
Step-by-step explanation:
1/2=The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc. Equivalent fractions have same value in reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.
Step-by-step explanation:
1/2 + 1/3 = 0.83333333333
or 5/6
Rewrite the equation by completing the square.
4x2 – 12x + 9 = 0
Answers
Answer: x=3/2
Step-by-step explanation: Hope this help :D
New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their current lamp to the new heat lamps for the university, OSU decided to test whether the mean lifetime is equal to 100 or not by sampling 36 heat lamps. They turned them on and recorded the time, in hours, until each lamp failed. The sample provided a mean lifespan is 105.1 hours.
1) What set of hypotheses are correct for this problem?
SET 1 - H0: µ = 100 hours , Ha: µ < 100 hours
SET 2 - H0: µ = 100 hours , Ha: µ > 100 hours
SET 3 - H0: µ = 100 hours , Ha: µ ≠ 100 hours
A) SET 1.
B) SET 2.
C) SET 3.
2) If we assume the null hypothesis to be true, the average of the distribution of sample means, μ x ¯, from a sample size of 36 is:______.
a) 15.
b) 115.
c) 100.
d) 105.1. .
3) According to the Central Limit Theorem, the standard deviation of the distribution of the sample means is:______.
a) 115.
b) 15.
c) 6.
d) 2.5. .
4) What is the approximate probability of observing a sample mean of 105.1 or more from the distribution of sample means, again assuming that the null hypothesis is true?
a) 0.68.
b) 0.025.
c) 0.975.
d) 0.16.
Answers
Answer:
1
The correct option is C
2
The correct option is C
3
The correct option is A
4
The correct option is B
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 100\)
The standard deviation is \(\sigma = 15\)
The sample size is \(n = 36\)
The sample mean is \(\= x = 105.1\)
Generally
The null hypothesis is \(H_o: \mu = 100 \ hours\)
The alternative hypothesis is \(H_a : \mu \ne 100\ hours\)
Given that the null hypothesis is true then the distribution of sample means \(\mu_{\= x }\), from a sample size of 36 is mathematically represented as
\(\mu_{\= x } = \mu\)
=> \(\mu_{\= x } = 100\)
According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large\((n > 30 )\) so given that the sample size is large n = 36
Then the test is normally distributed and hence the standard deviation is 15
Generally the standard error of mean is mathematically represented as
\(\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }\)
=> \(\sigma_{\= x } = \frac{15}{\sqrt{36} }\)
=> \(\sigma_{\= x } = 2.5\)
Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as
\(P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }} <\frac{105.1 - 100}{2.5} )\)
=> \(P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z<2.04 )\)
From the z-table (reference calculator dot net )
\(P(Z<2.04 ) = 0.97932\)
So
\(P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932\)
\(P( \= X \ge 105.1 ) =0.02\)
Name the minor arc and find it’s measure. Then name the major arc and find it’s measure.
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The minor arc in the given diagram as required to be determined is; arc TU and it's measure is; 116°.
The major arc in the given diagram as required to be determined is; arc TVU and it's measure is; 244°.
What are the measures of the minor and major arcs in the diagram?It follows from the task content that the minor and major arcs are to be named and their measures determined as required.
The minor arc in a circle is usually subtended by an angle less than 180° while the major arc is subtended by an angle greater than 180°.
Ultimately, the minor arc is; arc TU and it's measure is; 116° while the major arc is; arc TVU and it's measure is; 244°.
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100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
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Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
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Between the 1860s and the 1920s
In this essay, you are going to explain how the meaning of freedom changed from the Civil War until the
Roaring Twenties.
Your essay should at least include the following:
• Introductory Paragraph: Briefly state how you think the meaning of freedom changed during this
period.
• Body Paragraph 1: What did freedom mean to the slaves freed after the Civil War? (Unit 1)
• Body Paragraph 2: What did freedom mean to Native Americans at the end of the 19th century?
(Unit 2)
• Body Paragraph 3: What did freedom mean to women in the Suffrage Movement? (Unit 4)
• Additional Paragraphs: Add other historical examples. Optional
. Concluding Paragraph: Summarize your argument. Was there an expansion in freedom during
this period? What groups gained more freedom? What obstacles remained?
Provide a title to your essay and then write at least five paragraphs.
V= help me...
84 cubic inches
90 cubic inches
100 cubic inches
126 cubic inches
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Answer: Second Choice. 90 cubic inches
Concept:
Here, we need to know how to calculate the volume of a rectangular prism
Volume (rectangular prism) = w · l · h
w = width
l = length
h = height
Solve:
Given information
l = 6"
w = 3"
h = 5"
Given expression
V = w · l · h
Substitute values into the expression
V = (3) (6) (5)
Simplify by multiplication
V = 18 · 5
\(\boxed{V_{rectangular prism}=90}\)
Hope this helps!! :)
Please let me know if you have any questions
how to solve this? please help me
Answers
Answer:
tangent: y = 2x -2normal: y = -1/2x +3Step-by-step explanation:
Differentiating implicitly, you have ...
-y²·dx +(4-x)(2y)dy = 3x²·dx
So, the slope is ...
dy/dx = (3x² +y²)/(2y(4 -x))
At (x, y) = (2, 2), the slope of the curve is ...
dy/dx = (3·2² +2²)/(2·2(4 -2)) = 16/8 = 2
In point-slope form, the equation of the tangent line is then ...
y = m(x -h) +k
y = 2(x -2) +2
y = 2x -2 . . . . equation of tangent line
__
The normal to the curve is perpendicular to the tangent at the same point. The slope of the perpendicular line is the negative reciprocal of the tangent's slope, so is -1/2.
y = (-1/2)(x -2) +2
y = -1/2x +3 . . . equation of normal line
Give five elements of the following sets.
A = {different land forms}
B = {x/x is a prime number greater than 20 but less than 50}
C = {even number less than 20}
D = {fraction less than 1}
E = {noun that starts with letter "a"}
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Answer:
Find the answer below.
Step-by-step explanation:
1. A = {mountain, valley, plateau, plains and hills}
A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.2. B = {23, 29, 31, 37 and 41}
A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.3. C = {2, 4, 8, 10 and 12}
An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).4. D = {2/3, 1/2, 3/4, and 1/5}
A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.5. E = {ant, angel, angle, anaconda, and ark}
A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."what is one quality of rotation
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Answer:
Quality rotation is the act of a joint moving through a range of motion in a way that is efficient, controlled and repeatable.
Answer:
The degree, for example, if you move a little It will make it 90 degree or other.Step-by-step explanation:
Is the given value a solution of the inequality?
2 + s ≥ 10; s = 7
14 – r < 9; r = 6
j – 11 ≥ 20; j = 32
t + 6 > 40; t = 35
show work pls
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Answer:
35
Step-by-step explanation:
how would I answer and what would be the answer?
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there is a zero at x = 1 (option D)
Explanation:
a) The graph shows it is going up (increasing towards both the y axis and x axis).
This graph will give a positive leading coefficient.
As a result, the equation will have a positive leading coefficient not a negative one.
b) zeros of a polynomial are the values of x when the line crossses the x axis.
From our graph, the line doesn't cross the x axis at x = 6.
As a result, there is no zero of -6.
Multiplicity tells us the number of times the number of times a factor occurs.
Since part of the statement is wrong, it makes the whole statement wrong
c) The degree of this graph is odd. Its equation is 3rd degree
d) From the graph, the line crosses the x axis at x = 1 (2nd tick line)
Each tick line represents 0.5
The zero is the value of x when it crosses the x axis
As a result the polynomial has a zero at x = 1
The correct option is there is a zero at x = 1 (option D)
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
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Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
Is x + 4 and 2(x+2) equivalent?
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No
because why not
yeahhhh
A right triangle with two sides are on the x and y axes with endpoints 0,0 0,y and x,0 the hypotenuse passes through point
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The distance from the midpoint of the hypotenuse of any vertex is:
\(\sqrt{(0-a)^2 +(2b - b)^2} \\\) = \(\sqrt{(2a - a)^2 +(0 -b)^2}\)
= \(\sqrt{a-0)^2 + (b -0)^2}\)
Right Angle Triangle:
A right triangle is a triangle with one of its angles 90 degrees. An angle of 90 degrees is called a right angle, so a triangle with a right angle is called a right triangle. In this triangle, we can use the Pythagorean law to easily understand the relationship of the various sides. The side opposite the right angle is the largest side and is called the hypotenuse.
In a right triangle we have:
(Hypotenuse)2 = (Base)2 + (Altitude)2
Mid point Theorem:
The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half the length of the third side. This theorem is used in many places in real life. For example, if we don't have a measuring tool, you can use the midpoint theorem to cut a bar in half.
If we have a line segment whose endpoint coordinates are given by
(x₁, y₁) and (x₂, y₂), we can find the coordinates of the midpoint of the line segment using the following formula:
Let (xₙ , yₙ ) Coordinates of the midpoint of the segment. Then
(xₙ, yₙ) = ( (x₁+ x₂/2 , (y₁ + y₂)/2 )
This is known as the midpoint theorem.
According to the Question:
Suppose that we have two points (x₁ ,y₁) and (x₂, y₂). The distance between them is given by:
D = \(\sqrt{(x_2-x_1)^2 + (y_2- y_1)^2 }\)
Hence the distance from the midpoint of the hypotenuse to any vertex is given by:
\(\sqrt{(0-a)^2 +(2b - b)^2} \\\)
= \(\sqrt{(2a - a)^2 +(0 -b)^2}\)
= \(\sqrt{a-0)^2 + (b -0)^2}\)
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“The story began badly,” said the smaller of the small girls, “but it had a beautiful ending.”
“It is the most beautiful story that I ever heard,” said the bigger of the small girls, with immense decision.
“It is the only beautiful story I have ever heard,” said Cyril.
A dissentient opinion came from the aunt.
“A most improper story to tell to young children! You have undermined the effect of years of careful teaching.”
“At any rate,” said the bachelor, collecting his belongings preparatory to leaving the carriage, “I kept them quiet for ten minutes, which was more than you were able to do.”
“Unhappy woman!” he observed to himself as he walked down the platform of Templecombe station; “for the next six months or so those children will assail her in public with demands for an improper story!”
–“The Storyteller,”
Saki
How does the character of the bachelor add to the satire of "The Storyteller”?
His character provides humor in the story by revealing human weaknesses.
His character is greatly exaggerated to make fun of single men such as himself.
He exposes the aunt’s flaws by telling an improper story that occupies the children.
He exposes the aunt’s hypocrisy and ineffectiveness by being mean to the children.
Answers
Answer:
Its C, and if your looking for a different answer, try the one above this one.
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Simplify
4x^3 - 12x^2
4x^2 + 7x - 2
2x^2 -6x
5x^2 + 11x + 2
Answers
2x(5x + 1) / (4x - 1) is the final expression.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(4x³ - 12x²) / (4x² + 7x - 2) / (2x² - 6x) / (5x² + 11x + 2)
= (4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)
Now,
(4x³ - 12x²) = 4x² (x - 3) _____(1)
And,
(5x² + 11x + 2)
Middle term factorizing
= 5x² + (10 + 1)x + 2
= 5x² + 10x + x + 2
= 5x (x + 2) + 1(x + 2)
= (x + 2) (5x + 1) ______(2)
And,
(4x² + 7x - 2)
Middle term factorizing
= 4x² + (8 - 1)x - 2
= 4x² + 8x - x - 2
= 4x(x + 2) - 1(x + 2)
= (4x - 1) (x + 2) ______(3)
And,
(2x² - 6x) = 2x (x - 3) ______(4)
From (1), (2), (3), and (4) we get,
(4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)
= [ 4x² (x - 3) x (x + 2) (5x + 1) ] / [ (4x - 1) (x + 2) x 2x(x - 3) ]
(x + 2) and (x - 3) gets canceled.
= [4x² (5x + 1)] / [(4x - 1) 2x]
= 2x(5x + 1) / (4x - 1)
Thus,
2x(5x + 1) / (4x - 1)
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6. Robbie is 90 cm tall. If he grows 10 cm next year and then 1 cm less each year after that, how tall will he be in ten years?
Answers
Answer:
145cm
Step-by-step explanation:
90+10+9+8+7+6+5+4+3+2+1
a least squares regression line group of answer choices A.may be used to predict a value of y if the corresponding x value is given B.implies a cause-effect relationship between x and y C.can only be determined if a good linear relationship exists between x and y D.none of these alternatives is correct.
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If the appropriate x value is known, a set of answer options can be predicted using a least squares regression line.
The ideal choice is (a)
what is square regression line ?A straight line that illustrates how a response variable, y, changes as an explanatory variable, x, changes is called a regression line (LSRL, or least squares regression line). The line is a mathematical model that can be used to foretell the value of y given a value for x. A response and an explanatory variable are necessary for regression.
According to, the universal least squares regression line.
y = a+ bX
Here,
Independent variable: X
Y is the dependent variable.
The slope (or regression) coefficient is b.
If a = intercept,
When the independent variable is known, the least square regression line's main objective is to forecast the value of the dependent variable.
The following is the proper interpretation:
If the appropriate x value is known, a least squares regression line can be employed to forecast the value of y.
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Which method of data collection would be most appropriate:
A study of the effects of new drug intended to treat Dementia.
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Based on the information given, it should be noted that the method of data collection that would be most appropriate in this case is experimental research.
Experimental research.An experimental research simply means the study that adheres to the scientific research design. It consists of a hypothesis that can be manipulated by the researcher and variables which can be measured and compared.
Since the researcher wants to study of the effects of new drug intended to treat Dementia, the appropriate method is an experimental research.
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If RS= 23-2x, ST= 9x-5, and RT = 39 find RS
Answers
In linear equation , RS = 17 units in equation.
What is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.RT = RS + ST
we have
RT = 39 units
RS = 23 - 2x
ST= 9x-5
substitute the given values and solve for x
39 = 23 - 2x + 9x - 5
39 = 18 + 7x
39 - 18 = 7x
21 = 7x
x = 21/7 = 3
Find the value of RS
substitute the value of x
RS= 23 - 2x ⇒ 23 - 2 × 3 = 17 units
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If you jog 8 times around a track that is 600 meters long, how many kilometers have you covered?
Answers
Answer:
0.6 km
Step-by-step explanation:
If If you jog 8 times around a track that is 600 meters long, then 4.8 kilometers you have covered
What is Unit of Measurement?A Unit of measure is the actual unit in which the associated values are measured.
Given,
If you jog 8 times around a track that is 600 meters long,
We need to find how many kilometers you have covered.
8 times around a track that is 600
It means we have to multiply eight with six hundred.
8×600
=4800
We know that 1 km is 1000 m
So divide 4800 by 1000 to find in kilometers
4800/1000=4.8km
Hence If you jog 8 times around a track that is 600 meters long, Then 4.8 Kilometers you have covered.
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What is the value of r?
Answers
IN THE MIDDKE IF EXAM PLS HELPQuestion 3(Multiple Choice Worth 4 points)
Find the length of the unknown side. Round your answer to the nearest whole number.
5 in
5 in
7 inches
10 inches
25 inches
50 inches
Answers
Answer:
7 inches
Step-by-step explanation:
5 square + 5 square=50
the square root of 50 is 7.07
7.07 to the nearest whole number is 7
Answer:
7 Inches
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
5² + 5² = c²
50 = c²
\(\sqrt{50}\) = c
c = 7.07
ROUND
c = 7 inches
given that y various with x, find the equation of direct variation when x=11 and y=14
Answers
Answer:
The equation of direct variation relates two variables that vary proportionally to each other, and can be written as y = kx, where k is the constant of proportionality. To find k, we can plug in the values of x and y given in the problem and solve for k:
y = kx
14 = k(11)
k = 14/11
Now that we know k, we can write the equation of direct variation as:
y = (14/11)x
Therefore, when x = 11 and y = 14, the equation of direct variation is y = (14/11)(11) = 14.
The lateral edges of a prism are
Answers
Step-by-step explanation:
in a survey of 100 people ,65 read Kantipur ,45 read Gorkhapatra, 40 read himalayan times dream,25 read Kantipur as well as Gorkhapatra ,20 read kantipur as well as himalaya times,15 read gorkhapatra,as well as himalaya times and 5 read all three news papers.
1)draw a Venn diagram to illustrate the above information.
2find how many people do not read all three news paper ?
The lateral edges are congruent and parallel. The correct option is D.
A prism is a 3-dimensional object that has two bases that are similar and congruent to each other and are connected to each other with straight lines. A few examples of the prism are given in the image below.
Lateral edges are the edges that connect the two bases of the prism.
Since the lateral edges are straight lines and connect the similar vertices of the bases. Therefore, the lateral edges are always congruent and parallel.
Hence, the correct option is D.
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The given question is incomplete. Probably the complete question is:
The lateral edges of a prism are
A. congruent, only
B. congruent and perpendicular
C. perpendicular, only
D. congruent and parallel
You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Answers
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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