Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those provided
[tex]R(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad S(\stackrel{x_2}{15}~,~\stackrel{y_2}{31}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{31}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{5}}} \implies \cfrac{ 24 }{ 10 } \implies \cfrac{12 }{ 5 }[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{12}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{12}} ~\hfill \stackrel{negative~reciprocal}{ {\Large \begin{array}{llll} -\cfrac{5}{12} \end{array}} }}[/tex]
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
the perpendicular slope is simply turning that ratio fraction upside down and flips the sign.
(5, 7) to (15, 31)
x changes by +10 (from 5 to 15).
y changes by +24 (from 7 to 31).
the slope (or gradient) is therefore
+24/+10 = 12/5
the perpendicular slope or gradient is then
-5/12
Related Questions
What is the value of k and why?
Answers
9514 1404 393
Answer:
(c) π/2
Step-by-step explanation:
We know the sine of an angle is the cosine of its complement, and vice versa. The complement of angle x is (π/2-x), so ...
sin(π/2 -x) = cos(x)
This is shown by the attached graph.
Calculate the compound amount when $6000 is deposited in an account earning 6% interest, compounded quarterly, for 5 years.
(Round your answer to two decimal places.)
Answers
Answer:
need needed need need need need need need need
Step-by-step explanation:
points
Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answers
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer
Which equation correctly solves the formula of r? 4πr^2h
Answers
The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
How can the value of r be computed?The concept here is the concept of subject of the formula.
The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).
The formula given was A=4πr^2h, then we can r the subject of the formula as
r^2 = A /4π
Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]
Therefore, option B iscorrect.
Learn more about equation at:
https://brainly.com/question/2972832
#SPJ1
missing options:
A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π
Gloria is categorizing triangles based on their properties. The side lengths of the triangles are listed below. Triangle 1: 3 cm, 4 cm, 5 cm Triangle 2: 5 cm, 5 cm, 7 cm Triangle 3: 6 cm, 7 cm, 9 cm Triangle 4: 8 cm, 8 cm, 8 cm She places the triangles into 3 different groups: scalene, isosceles, and equilateral. Which pair of triangles would Gloria put in the same group?
A. 1 and 2 B. 1 and 3 C. 2 and 3 D. 2 and 4
Answers
Triangle 1 is considered scalene as it has 3 sides all different sizes
And the same applies for triangle 3
on Monday the solar panels on a house produced 37.124 units of energy. On Tuesday, the solar panels produced 2,846 fewer units of energy than on Monday. What is the total number of units of energy in two days.
Answers
The total number of units of energy produced in the two days is 71,402.
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,
Monday:
Energy = 37,124
Tuesday:
Energy = 37,124 - 2846 = 34278
The total energy produced.
= 37124 + 34278
= 71402
Thus,
The total number of energy in two days is 71,402.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
13. Communicate and Justify During a chemistry experiment, Julian
records how the temperature changes over time using ordered
pairs (time in minutes, temperature in °C).
(0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100)
a. Which variable is the independent variable?
The dependent variable? Explain in need answerssss
Answers
Julian uses ordered pairs to record the temperature variations over time during a chemistry experiment (time in minutes, temperature in °C). (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100) (25, 100).
What do you meant by depend and independent variable ?It is the cause that is the independent variable. Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value. It is a thing that is dependent on other things. The amount of study you did, how much sleep you had the night before the test, or even how hungry you were when you took it.
Could all affect your test result, which makes it a dependent variable. The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Ex. How much sleep you get depends on your test results.
To learn more about independent variable refer to :
https://brainly.com/question/25223322
#SPJ1
hehehehehehelppppppppp
Answers
Answer:
19.25 cm.
Step-by-step explanation:
I multiplied 7.7 by 2.5 and got 19.25 cm. Plus, you should have a higher chance of getting it right since it measures 7.7 cm in length
(For the people who need the actual answer, It's 19.25 ft.)
A rectangular room measures 12 feet by 10 feet. How many square yards of carpet are needed?
Answers
To find area you need to follow the formula l • w, which is 12 x 10, that equals 120
Helllppppppppppppppppppp
Answers
Answer: 1200 apples
Divide 100% by 35% to get the multiplier 2.85714285714 (35(s) within 100), and then multiply that by 420 apples to get 1200 apples.
Greatest common factor
Answers
Step-by-step explanation:
To find the GCD or GCF of two numbers , you should:
List the prime factors of each one of them(the 2 numbers)choose the common number+least exponent multiply themWhat the answer to this 9 - 3y +3y =4
Answers
Answer:
its the answer
Step-by-step explanation:
the answer to the question is the answer
hehe
|
مل
6 281034 900175">
240
fruit
Answers
What is the surface area of the rectangular prism?
Answers
Answer:
250m² drawing a model or visualizing it would help
Can someone plz help me pictures inserted
Answers
X = 14
If these two shapes are similar, what is the measure of the missing length j?
Answers
Step-by-step explanation:
since the 2 shapes are similar then their sides are proportional
9/18= j/90
then j equals 45
5. A candy company used 12 gallons of syrup to make 6 batches of candy. What is the rate of syrup per batch? (Please explain!)
Answers
Answer: 2 gallons of syrup per batch
Step-by-step explanation:
12/6=2
leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____
Answers
Answer:
it is not always true that 75% of a number will be greater than 50% of any other number
Step-by-step explanation:
Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.
For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).
Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).
Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.
If UM =23 then MW=
No links please
Answers
Answer:
23
Step-by-step explanation:
because m is the midpoint and it divides line uw in two equal parts
This is because for any parallelogram, the diagonals always bisect each other. This means the diagonals cut each other in half. The two halves are the same length. This is why UM = MW. It also means TM = MV.
Use Pythagorean Theorem to find the missing
measurement. Show your work. Round to the nearest
hundredth if necessary.
a, 12 ft; b. 12 ft
Answers
Answer:
12^2+12^2=c^2
Step-by-step explanation:
12x12=144 + 12x12=144=c^2
288=c^2
find the square root of 288
19.97=c 20=c
Which algebraic expression represents the phrase "seven more than half of a number”?
Answers
7+ x/2
Step by step explanation:
“Seven more” is addition in word form, and “half of a number” refers to a variable (in this case x) being divided by 2. Hope this helps! :)
At a local volleyball game, 330 tickets were sold. Adult tickets were sold for $25.00 each, and youth
tickets were sold for $18.00 each. If ticket sales totaled $7,480.00, how many adult tickets and how many
youth tickets were sold?
O 174 adult, 156 youth
O 220 adult, 110 youth
O 253 adult, 77 youth
O 266 adult, 64 youth
Answers
Answer:
the second one 220 and 110
Step-by-step explanation:
220*25+110*18
Answer:
the answer is B. 220 adult,110 youth
Step-by-step explanation:
Hope this helps
how are algebraic expressions used to represent and solve problems
Answers
Answer:
How are algebraic expressions used to represent and solve problems?
The purpose of solving an algebraic expression in an equation is to find the unknown variable. When two expressions are equated, they form an equation, and therefore, it becomes easier to solve for the unknown terms. To solve an equation, place the variables on one side and the constants on the other side.
Step-by-step explanation:
How can you use algebraic expressions to solve problems?
To solve an algebraic word problem:
1. Define a variable.
2.Write an equation using the variable.
3.Solve the equation.
4.If the variable is not the answer to the word problem, use the variable
to calculate the answer.
How are algebraic expressions applied in real life situations?
utilizing linear algebra, and this uniqueness starts to expose a lot of applications. Other real-world applications of linear algebra include ranking in search engines, decision tree induction, testing software code in software engineering, graphics, facial recognition, prediction and so on.
What is algebraic expression why it is used in mathematics?
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3×2 − 2xy + c is an algebraic expression.
Which values of x are solutions of the inequality?
8 + 3x < 5x - 10
x=0
x=4
x= 9
x= 15
Answers
Answer:
[tex]x=15[/tex]
Explanation:
Solving the inequality for x would give you [tex]x>9[/tex], therefore, [tex]x=15[/tex] would be the only option. While you might think [tex]x=9[/tex] should also be a solution, it would only be one if [tex]x\geq 9[/tex].
Hope this helps! :)
please help asap
will give brainliest
Answers
Answer: 109 it says 109 in the corner of b and d
help pls it is in the picture
Answers
Answer:
come back
Step-by-step explanation:
What is the volume of the cone pictured? (Use 3.14 for pi)
Answers
9514 1404 393
Answer:
(d) 923.16 mm³
Step-by-step explanation:
The volume can be found by putting the given numbers into the volume formula.
V = 1/3πr²h
V = 1/3(3.14)(7 mm)²(18 mm) = 923.16 mm³
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate, x
(gal/hr)
Time, y
(hours)
60
300
45
400
36
500
30
600
How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?
100 hours
150 hours
180 hours
200 hours
Answers
Answer:
C
Step-by-step explanation:
The number of hours to fill the pool will be 180. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate (gal/hr) Time (hours)
x y
60 300
45 400
36 500
30 600
Then the amount of liquid in the pool will be
⇒ 60 x 300
⇒ 18,000 gallons
If this much liquid is filled with hose that has a rate of 40 gallons per hour, then the number of hours will be
⇒ 18,000 / 40
⇒ 450 hours
Then the number of hours if two hoses are used to fill the pool that one has a rate of 40 gallons per hour and one has a rate of 60 gallons per hour will be
1/T = 1/450 + 1/300
1/T = 1 / 180
T = 180 hours
Then the number of hours to fill the pool will be 180.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
2. A number m is less than -3 or greater than or equal to 1.
Answers
The absolute value of m is equal to the positive distance between m and 0.
What is value?Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.
The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.
To know more about value click-
https://brainly.com/question/21491497
#SPJ1
The absolute value of m is equal to the positive distance between m and 0.
What is value?Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.
The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.
To know more about value click-
https://brainly.com/question/30145972
#SPJ1
Find the area
of this figure.
12m
15m
5m
8m
5m
Answers
Answer:
The answer is 12×15×5×8×5 =36,000m