Answer:
[tex]\\c=85mi\\[/tex]
Step-by-step explanation:
[tex]77mi^{2} +36mi^{2} =7,225mi\\\\7225mi=c^{2}[/tex]
[tex]\sqrt{7225} =85[/tex]
what is the equation of the line that has a slope of 1/2 and goes though the point (4,-1)
The equation of line that has a slope of 1/2 and goes through (4,-1) is y=-3.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
y = mx + c
where m denotes the line's slope and c is the y-intercept.
In the question, we have been given the slope and the (x,y) through which it passes.
Substituting these in y = mx + c, we get
-1= 0.5(4)+c
-1= 2+c
-3=c
c=-3.
Hence, the equation of line is y=-3.
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QUICK HELP ME I'M STRUGGLING WITH THIS
The values of F, G and H are given as follows:
F = 5, G = 29, H = 1.
How to obtain the values of F, G and H?The expression at the right side of the equality represents the entire expression after the least common factor is applied at the left side.
The least common side of the denominators is given as follows:
(x - 3)(4x + 7).
Hence the simplified numerator is given as follows:
(2x + 1)(4x + 7) + (-3x + 2)(x - 3).
Expanding the operations, and combining the like terms, we have that:
(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 8x² + 18x + 7 - 3x² + 11x - 6.
(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 5x² + 29x + 1.
Then the equality of the two numerators is given as follows:
5x² + 29x + 1 = Fx² + Gx + H.
Hence the values of the letters are given as follows:
F = 5, G = 29, H = 1.
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Which phrase describes the variable expression y-12
A. The quotient of y and 12
B. Y increased by 12
C. The product of y and 12
D. Y decreased by 12
Answer:
D.
Step-by-step explanation:
y - 12 means that 12 is being subtracted from y.
Subtracting 12 from y means decreasing y by 12.
Answer: D.
The price of an item has been reduced by 20%. The original price was $55. What is the price of the item now?
The reduced price of the item will be $44.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the price of an item has been reduced by 20%. The original price was $55.
The reduced price of the item will be calculated as,
Price = 55 x ( 100% - 20 %)
Price = 55 x ( 1 - 0.2
Price = ( 55 x 0. 8 )
Price= $44
Hence, the price of the item will be $44.
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Can some one solve the inequality for me I have a d in class
-5x -1>9
Answer:
Step-by-step explanation:
-5x-1>9
add 1 to both sides
-5x>10
divide by negative 5
x<-2
the sign flips since you divided by a negative
and your answer is x<-2
A circular fountain has a radius of 6.8 feet. Find its diameter and circumference to the nearest hundredth. Use 3.14 for π.
The diameter of the circular fountain is 13.6 feet, while its circumference is 21.352 feet to the nearest hundredth.
To find the diameter and circumference:The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of a circle.
Diameter, D = 2r
where r is the radius of the circle
Circumference = 2πr = πD
where π = 3.14
Given that the circular fountain has a radius of 6.8 feet
Diameter = 2 × 6.8 feet = 13.6 feet
Circumference = 3.14 × 13.6 feet
Circumference = 21.352 feet (to the nearest hundredth)
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The pharmacist has a 4.3 L bottle of cough syrup. If she fills a bottle that is 1,900 ml, how many ml of cough syrup does the pharmacist have left? (1 L = 1,000 ml)
240 ml
2,400 ml
3,100 ml
6,200 ml
Answer:Hi! The answer will be B I got a 100 on my test and i also did this before.
The total volume of cough syrup that the pharmacist will have left would be = 2,400ml. That is option B.
Who is a pharmacist?A pharmacist is an individual trained and licensed to dispense the correct amount of prescribed medication.
The volume of the cough syrup the pharmacist has = 4.3L
But 1 L = 1000 ml
4.3 L = 4.3 × 1000 = 4300ml
The volume of the available syrup bottle brought by the pharmacist = 1,900 ml
The quantity of syrup transferred to a bottle = 1,900 ml
Therefore the amount remaining = 4300 - 1900 = 2,400ml.
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Would it be unusual for a household to have three dogs? Explain your reasoning. The number of dogs per household in a small town
Dogs 0 1 2 3 4 5
Households 1488 421 173 49 33 16
Choose the correct answer below. O A. It would not be unusual because 49 people own three dogs in the town. O B. It would not be unusual because it does not have the smallest probability, O C. It would not be unusual because the probability of having three dogs is more than 0.05. O D. It would be unusual because the probability of having three dogs is less than 0.05.
It would not be unusual for a household to have three dogs, as the data you provided shows that there are households in the small town with three dogs.
The frequency of households with three dogs is 173, which is the third highest number after households with one or two dogs. Therefore, having three dogs in a household is not uncommon in this small town,
Frequency refers to the number of times an event or a value occurs within a specific data set. It can be represented as a count or a percentage. In statistics, frequency is used to describe the distribution of data, which can help to identify patterns and trends. For example, in the data you provided, the frequency of households with three dogs is 173, which means that there are 173 households in the small town that have three dogs. It's a way to understand how common or rare is something in the dataset. By counting the number of times each value appears on the dataset and organizing it, we can have a better understanding of how the variable is distributed.
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Marina's monthly liabilities and assets are shown in the table.
Monthly Liabilities (Debt)
Rent
Student Loan Payment
Minimum Credit Card Payment
Car Loan Payment
Graduate School Loan
Hide Feedback
$1,400
$350
$140
$130
$600
Incorrect
Monthly Pre-Tax Assets (Income)
Gross Salary
Stock Dividends
Interest
Find Marina's debt-to-income ratio. Express that ratio as a percent.
X
$8,900
$350
$190
Marina's debt to income ratio is given as follows:
27.75%.
How to obtain the debt to income ratio?The debt to income ratio is obtained as the sum of all debts divided by the sum of all incomes.
The sum of all debts is given as follows:
1400 + 350 + 140 + 130 + 600 = 2620.
The sum of all incomes is given as follows:
8900 + 350 + 190 = 9440.
Hence the ratio is given as follows:
2620/9440 = 0.2775.
As a percent, the ratio is given as follows:
0.2775 x 100% = 27.75%.
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PLEASE I NEED HELP
Geometry
Exterior Angle Theorem
1. The measure of one exterior angle of a regular polygon is given,
find the number of sides.
►
40°
A regular polygon's outer angle is 40° in length and has 9 sides.
What is meant by polygon?A two-dimensional, closed, flat or plane shape with sides that are all straight can be referred to as a polygon. The sides of it are not curled. Polygonal edges are another name for the sides of a polygon. The vertex (or corner) of a polygon is the place where two sides come together. Some examples of polygons are provided below. The term "polygon" refers to any closed, two-dimensional form having three sides or more. As well as more complex designs like a dodecagon with twelve sides, triangles and squares are polygons. Having closed, straight sides, a polygon is a shape. One type of polygon is a rectangle, while others include triangles, hexagons, and octagons. Similar to other concepts in geometry, which they originated, the word "polygon" is Greek. It merely denotes a lot of angles (poly) (gon).We have,
360°
It is given that each exterior angle is 40∘.
40 ∘ .
Consequently, the polygon's number of sides = Measure of all exterior angles added together Every external aspect
= 36040 = 9.
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2 variables x and y vary inversly and x=12 when y=4 what is the value of y when x=3
The value of y given the inverse proportional relationship between the variables is 16.
What is the inverse proportion?When two variables vary inversely, as one of the variable increases, the other variable decreases.
The equation that represents inverse proportion : x = k / y
where b = constant of proportionality
k = xy
k = 12 x 4 = 48
y = k / x
48 / 3 = 16
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Find the missing angle measure.
Answer:
35⁰
Step-by-step explanation:
because the sum of the interior angle of triangle is 180⁰ so 90+55+x=180
x=35
A bag contains 4 white, 5 red and 6 green balls. Three balls are drawn at random from
the bag. The probability that all of them are green, is:
The probability that all the balls are green when we randomly select them is:
P = 0.044
How to find the probability that all the balls are green?We know that a bag contains 4 white, 5 red and 6 green balls, then there are a total of:
4 + 5 + 6 = 15 balls.
The probability of getting a green one is given by the quotient between the number of green balls and the total number of balls, so for the first one we have:
p = 6/15
Now for the next ball, because we already took one, now there are 5 green balls and 14 in total, so the probability is:
q = 5/14
The probability for the last one is calculated in a similar way, we will get:
z = 4/13
The joint probability (the probability of getting the 3 green balls in a row) is given by the product of the probabilities above, here we will get:
P = *q*z = (6/15)*(5/14)*(4/13) = 0.044
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help me to solve these questions
Answer: I can't solve all of them but I will give tips. i repeats in cycles so i^1 is sqrt-1, i^2 is -1, i^3 is -i and i^4 is 1. Look at the exponent and first divided out 4 then use the 1 2 3 answers. When you divided i and a number such as (1-i)/1+i) multiply by the conjugate of the denominator which is 1-i. To find conjugate replace the + with a -.
Step-by-step explanation:
show working
please A carton of strawberries weighs 2 pounds. A box of apples weighs 6 pounds more than that. How much does the box of apples weigh?
please some answer this please just answer and you'll know points 83
Answer: 8 pounds
Step-by-step explanation: Let’s first identify the main key details
Strawberry- 2 pounds
Apple- 6 more of strawberry
What is 6+2
8
The apple weighs 8 pounds.
Hope this helped
simplify 7.5s + 1.6t - 4.2s
The equation 7.5s + 1.6t - 4.2s is simplified to give a result of
3.3s + 1.6tHow to simplify the given equationThe given equation 7.5s + 1.6t - 4.2s is simplified by following the mathematical operator that is acting on the values after a consideration of like terms
The variables in the equation are t and s
terms in t: 1.6
terms in s: 7.5, -4.2
collecting like terms
this will lead to rearranging the equation to give
7.5s - 4.2s + 1.6t
using the mathematical operator (addition and subtraction)
= 3.3s + 1.6t
unlike terms cannot be operated on, because of this the answer is 3.3s + 1.6t
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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 equations that represent the circle are x² + (y - 3)² = 36 and x² + (y + 8)² = 36.
What is Circle?A circle is a two dimensional figure which consist of all the points which are at equal distance from a fixed point called center of the circle.
Standard equation of a circle is,
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
Given that,
Diameter = 12
Radius = Half of diameter = 6
Center lies on the y axis.
So the coordinates of center (h, k) will be of the form (0, k).
So the equation will be of the form,
(x - 0)² + (y - k)² = 6² or x² + (y - k)² = 36
The equations of this form in options are,
x² + (y - 3)² = 36 and
x² + (y + 8)² = 36
Hence the equations are x² + (y - 3)² = 36 and x² + (y + 8)² = 36.
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In the diagram below, mMON = 142°, m MOP= 2x+1, and m/ NOP = 2x
+1. What are the exact measures of the angles?
P
M
A. mz MOP = 141
m2 NOP=11
B. m/ MOP = 70
m2 NOP=74
C. m MOP= 71
m2 NOP=71
D. m/ MOP = 140
m2 NOP = 70
On solving the provided question, we can say that angles MOP + NOP = MON; x = 140/4 = 35 and MOP = NOP = 2(35) +1 = 71
what are angles?An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.
here, angles
MON = 142°, m MOP= 2x+1, and NOP = 2x+1
so, MOP + NOP = MON
2x+1 + 2x + 1 = 142
4x = 140
x = 140/4 = 35
MOP = NOP = 2(35) +1 = 71
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Using the rule of 72, approximately how many years will it take a $1000.00
investment to double its value at an interest rate of 3.60%, compounded
annually?
Approximately 20 years will it take a $1000.00 investment to double its value at an interest rate of 3.60%, compounded annually.
What is rule of 72?The rules of 72, 70, and 69.3 are ways for calculating the doubling time of an investment in finance. To determine the roughly necessary number of periods for doubling, the rule number is divided by the interest percentage each period. For modest rates of return, the Rule of 72 is fairly accurate. The Rule of 72's estimates are compared to the actual number of years it takes for an investment to double in the graph below. Although it provides an estimate, the Rule of 72 becomes less accurate as rates of return rise.An investor or advisor can easily determine using the Rule of 72 how long it will take an investment to double based on its fixed annual rate of return. You may determine roughly how long it will take for your portfolio to double in size by dividing 72 by the fixed rate of return.Approximately 20 years will it take a $1000.00 investment to double its value at an interest rate of 3.60%, compounded annually.
The complete question is,
Approximately how many years will it take a $1000.00 investment to double its value at an
interest rate of 3.60%, compounded annually?
A. 5
B. 7.2
C. 20
D. 50
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Geometry!!! I need help with this problem!
We are aware that a Kites two opposite angles are equal. We are aware that a quadrilateral's total number of angles equals 360 degrees. As a result, x and y have values of 80° and 110°.
Area of KiteThe space a kite encloses is known as the area of the kite. A quadrilateral with two sets of neighbouring sides that are equal is referred to as a kite. A kite is made up of four angles, four sides, and two diagonals.
What is the kite formula?The product of the lengths of a kite's diagonals divides its area in half. A kite's area is calculated using the formula Area = 12 (d)1 (d)2.
Important Notes
The perimeter of a kite is 2(Side1+Side2)The area of a kite is ½ × (d)1 × (d)2A kite has two pairs of adjacent equal sides.A kite is a cyclic quadrilateral, hence, satisfies all the properties of a cyclic quadrilateral.How can the value of x in a shape be determined?By subtraction of known angle measurements from 180 degrees, one can determine the value of X in triangles. If you know at least two angles, you can subtract them from 180 to discover the third angle that is lacking since the sum of all the angles in a triangle must equal 180 degrees.
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Which statement best describes what software is?
the instructions written in human-readable form
the programming code that gives instructions to other parts of the computer
the code that manages all the hardware on a computer
O the electronic and mechanical parts of a computer device
The programming code that gives instructions to other parts of the computer.
What is computer programming code called?Computer programming code is typical referral source code. Source code is a set of instructions written using a computer programming language that tells a computer what to do.
It is written in a language that a computer can understand, and is usually written in a text file. Source code is the foundation of all computer programming and software development, and it is the basis for creating applications, programs, and websites. Source code is written in a language such as C++, Java, or Python and is compiled and then translated into machine language that the computer can understand and execute.
The source code is then tested and debugged to ensure that it works correctly. Source code is an essential part of software development and is the foundation for successful software projects.
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the mean rate for satellite television from a sample of households was $49.00 per month, with a standard deviation of $2.50 per month. between what two values do 99.7% of the data lie?
So on solving the provided question, we can say that mean rate for satellite television from a sample of households was $49.00 per month 29 * 49 = $1421
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate :Divide by how many digits there are after adding up all the digits. the total divided by the count.
here the data vales are
12+76+4+89+55+6+8+7+4/9
261/9
29
so , mean rate for satellite television from a sample of households was $49.00 per month 29 * 49 = $1421
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Kylie used b beads to make each necklace she made 14 necklaces in all write an expression that shows the total number of beads
The expression 14b shows the total number of beads in one necklace.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Kylie used b beads to make each necklace.
She made 14 necklaces.
So,
the total number of beads,
= 14 x number of beads in one necklace.
The total number of beads,
= 14 x b
The total number of beads,
= 14b
Therefore, 14b is the required expression.
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The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP
The time that Mrs James have her eyes open than closed will be 13 19/20 hours.
How to calculate the Fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
From the information, the average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today.
The more time that she have her eyes open than closed will be:
= 15 1/2 - (1/10 × 15 1/2)
= 15 1/2 - 1 11/20
= 13 19/20
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Olivia's class collected 3,591 bottle caps in 57 days. The same number of battle caps were collected each day. How many bottle caps did the class collect per day?
Answer: 63 bottle caps
Step-by-step explanation:
3591 caps collected
57 days
3591/57=63
Caps collected per day 63 caps
Determine whether the statement is true or false.
(Bob) ≤ {Bob, Carol, Ted, Alice}
A.True
B.False
Help
The statement "(Bob) ≤ {Bob, Carol, Ted, Alice}" is False.
How to determine the truth value of the statementFrom the question, we have the following parameters that can be used in our computation:
Bob) ≤ {Bob, Carol, Ted, Alice}
Here, (Bob) is a singleton set which contains the element "Bob", while {Bob, Carol, Ted, Alice} is a set.
In general, the notation "A ≤ B" is used to indicate that set A is a subset of set B, which means that all elements of A are also elements of B.
Therefore, in this case (Bob) is not a subset of {Bob, Carol, Ted, Alice} because it is not a set of distinct elements, it is just a single element.
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Select y = cos(x) + 2 sin(3x) in "The Limit of a Function" from the pull-down menu. Estimate to the nearest hundredth the value of the limit. L = lim x → 0.5 (cos(x) + 2 sin(3x)) L = 2.87256 Correct:
How large can δ be so that |x − 0.5| < δ guarantees that |cos(x) + 2 sin(3x) − L| < 0.5? What about for |cos(x) + 2 sin(3x) − L| < 0.02?
The equation as per the information that has been provided, the answer will be computed as:
The function's limit indicates its value as the independent variable gets closer to a certain point.
Finding the limit as the independent variable approaches both the positive and negative limits is necessary to determine whether a function's limit is present. If both limits are the same, the limit of the function is present.
L=limx→0.5(cos(x)+2sin(3x))
L=cos0.5+2sin3×0.5
L=0.87+2sin1.5
L=0.87+2(0.99)
L=0.87+1.99
L=2.86
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−5/6h−2/3h=−24 for h
Answer: h = 16
Step-by-step explanation:
We will isolate the variable, h, with inverse operations and simplifying to solve for h.
Given:
[tex]\displaystyle -\frac{5}{6}h-\frac{2}{3}h=-24[/tex]
Multiply both sides of the equation by 6:
➜ Why would we do this? This allows us to work without fractions.
-5h - 4h = -144
Combine like terms:
-9h = -144
Divide both sides of the equation by -9:
h = 16
erpendicular+Lines+Problém (2)
Jan 9, 2023 at 8:15 AM
3.
4.
7
2
a.y=-x+3
y=3x-4
b. y=x+2
y=-4x + 2
c. y=x+2
y=-x-1
d. ?
Part 1: Match the correct graphs with the correct equations.
Part 2: For the graph that does not have a match, write the equations for the two lines.
Part 3: Which set of lines are parallel? What do you notice about the slopes of the lines?
Part 4: Which set of linear are perpendicular? What do you notice about the slopes of the lines?
Part 5: Write another example of a pair of equations that would be parallel.
Part 6: Write another example of a pair of equations that would be perpendicular.
Three types of numbers fall under the heading of "real numbers," which we will discuss in a moment. Real numbers include all types of numbers, including whole, rational, and irrational numbers.
What is Real number?A real number is a quantity that may be represented mathematically by an endless decimal expansion. In contrast to the counting-derived natural numbers 1, 2, 3,..., real numbers are used to quantify constantly altering quantities such as size and time. Rational and irrational numbers are both included in real numbers. Real numbers include both irrational and rational numbers such as 3, 22/7, and integers such as (-2, 0, 1), fractions such as (1/2), and decimal numbers such as (1/2).
whole = 0,1,2,3,4,5,6,7,8,9,10,11........….
rational = 12/23,3,3/4,5/6,...…
irrational = [tex]\sqrt{98}[/tex]
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Solving the provided question, we can say that the equation we have here are y=-x+3 and y=3x-4 and y=x+2, so values of y are as => 0, 5 and 5.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation we have here are
y=-x+3
y=3x-4
y=x+2
and the value of the x = 3
so values of y are as => 0, 5 and 5
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please choose the correct answer and explain why it’s correct. i will mark you brainliest!
Answer: C
Step-by-step explanation:
This is simple algebra! First, try to find the slope which would be -3.
Let's say x is hours and y is degrees. We will find the slope by finding the change in x and y.
change in y 45 - 54 = -9
change in x 5 - 2 = 3
The slope is -3. Therefore the temperature decreases by 3 degrees every hour.
Hope that helps! :-)