What is the slope of the line that passes through (-2, 7) and (4, 9)

Answers

Answer 1

Answer: The slope is 1/3

Step-by-step explanation:

m = y2-y1/x2-x1

m =9-7/4+2

m=2/6

m=1/3

Answer 2

Answer:

The slope is 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=9-7/4-(-2)

m=2/6

m=1/3


Related Questions

Find the value of each card and put them in order, from lowest to highest.

Answers

think it should just be A B D C not sure though, try it

Answer:

The highest is 1 but i cannot work out the rest

Step-by-step explanation:

Bidmas

Help pleaseeeee. ill give 10 points
a sample of the students at a middle school is selected by writing the name of every student in the school on a slip of paper and putting all the names into a bin. the bin is then rotated to mix the slips of paper and 25 names are drawn without looking. if the bin is rotated after every draw, which kind of sampling method is this?

a. non-random sampling
b. simple random sampling
c. stratified random sampling
d. systematic random sampling

Answers

Answer:B

Step-by-step explanation: it's because you're choosing random peoplepeoplepeople

solve pls brainliest

Answers

Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons

What percent of 3 is 1.8

Answers

Answer:

60%

Step-by-step explanation:

Step-by-step explanation:

100% = 3

1% = 100%/100 = 3/100 = 0.03

how many % are 1.8 ? well, as many % as 1% fits into 1.8 :

1.8 / 0.03 = 60%

If triangle abc and triangle def are similar, then their corresponding sides are proportional. if , then . answer the following questions what is the hypothesis? what is the conclusion? what is the converse? is it true? if the converse is not true, give a counter-example. what is the inverse? is it true? what is the contrapositive? is it true?

Answers

The answer to the questions are given below.

What are Similar Triangles ?

The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .

It is given in the question that

If triangle abc and triangle def are similar, then their corresponding sides are proportional.

The hypothesis is

if the triangle abc and def are similar

The conclusion is

that the triangle abc and def are similar and the sides corresponding are proportional.

The converse is

If the sides of two triangles are proportional then two triangles are similar

Yes it is true

Inverse is if the two triangles are not similar then the sides corresponding are not proportional.

Contrapositive statement is if the sides are not proportional then the two triangles are not similar.

Yes , it is true.

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What two congruent triangles share the side AC?

△AEB and △CEB
△GFA and △GDC
△ADC and △CFA

Answers

The two congruent triangles that share the side AC are (c) △ADC and △CFA

How to determine the congruent triangles?

For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles

In option (c), we have A and C in the names of the triangles ADC and CFA

Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA

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What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
02
O 3
07
11

Answers

Answer:

n

6

Mean

11

Average Absolute Deviation (MAD)

4.6667

Step-by-step explanation:

Pleazzzz helpppp meee!!!

Answers

Plug 5 into (9x-58) and plug x into 2x, then multiple 5 by 2(x)

does someone mind helping me with this question? Thank you!

Answers

Answer: 81

Step-by-step explanation:

Since x is given, just substitute the value.

5(10) + 31

50 + 31 = 81

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

The given expression is :

[tex]\qquad \sf  \dashrightarrow \:5x + 1[/tex]

now, plug in the values of x as 10

[tex]\qquad \sf  \dashrightarrow \:5(10) + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:50 + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:81[/tex]

So, required value is 81

I kinda need an explanation on how to solve this.

Answers

Answer:

36.

Step-by-step explanation:

There were 10 elephants that were marked.  Only 4 of those were counted.  The other 26 were new elephants.  Because of this, we know that there were 6 other elephants that were not counted.  There were the 30 counted, and the other 6.  Add those and you get 36.

Answer:

  75 elephants

Step-by-step explanation:

This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.

__

We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.

  estimated population = 2.5 × 30 = 75 . . . elephants

Which is a true statement about the dot plot?
The team never scored exactly 2 goals in a single game.
The team scored exactly 1 goal in 3 games this season.
The most goals the team scored in a single game were 8.
The team scored exactly 3 goals in 4 games this season.

Answers

The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

What is a Dot Plot?

A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.

In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

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Which represents a perfect cube? 8 times 8 times 8 8 8 8 9 times 9 times 9 times 9 9 9 9 9 9

Answers

Answer:

by o of u 999987ui87 u ko9h u kgnnh b mjuokkwuij

The range of 3,7,2,4,7,5,7,1,8,8

Answers

Answer:

7

Step-by-step explanation:

First put all the numbers in order. Like this,

1,2,3,4,5,7,7,7,8,8

Then subtract (take away) the lowest number from the highest. Like this,

8-1=7

A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings. A 6-column table has 5 rows. The first column has entries walks to school, bikes to school, rides bus to school, driven to school, total. The second column is labeled 0 siblings with entries 24, 8, 18, 32, 82. The third column is labeled 1 sibling with entries 37, 9, 36, 58, 140. The fourth column is labeled 2 siblings with entries 12, 8, 12, 22, 54. The fifth column is labeled 3 or more siblings with entries 3, 2, 9, 10, 24. The sixth column is labeled Total with entries 76, 27, 75, 122, 300. Which statement is true about whether A and B are independent events

Answers

The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

How to depict the events?

Let A be the event that the person rides the bus to school, then:

P(A) = 75/300

P(A) = 0.25

Let B be the event that the person has 3 or more siblings, then:

P(B) = 24/300 = 0.25

P(A/B)=9/24

P(A/B)=0.375

Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.

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Find the product using Distributive property. 625 x 129 – 625 x 90​

Answers

Answer:

63,750

Step-by-step explanation:

1. Simplify the expression

625*192-625*90

120000-625*90

120000-56250

63750

What is distributive propertyAn algebra property which is used to multiply one integer by one or more other integers inside a set of parentheses.What are order of operations The order in which operations in an expression to be evaluated are carried out.

Why learn this:

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

Order of operations

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{Assuming that you meant}\bf\downarrow[/tex]

[tex]\mathbf{625\times129 - 625\times90}[/tex]

[tex]\large\textbf{If so, let's solve for the answer, shall we?}[/tex]

[tex]\mathbf{= \boxed{\bf 80,625} - 625\times90}[/tex]

[tex]\mathsf{= \bf 80,625 - \boxed{\bf 56,250}}[/tex]

[tex]\mathbf{= 80,625 - 56,250}[/tex]

[tex]\large\textbf{We have met your answer to this question.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{24,375}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle

Answers

The combination that denotes the empty set{∅} is motor ∩ bicycle.

What is a set theory?

Set theory is the mathematical study of well-defined groups of things called elements of the set.

In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:

Motor = {8, 24}Manual = {24, 32}Bicycle = {44}The union of motor and manual i.e. Motor ⋃ Manual = {24}

The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:

= motor ∩ bicycle

This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.

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Answer: motor U bicycle

Step-by-step explanation:

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Answers

The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis

How to describe the similarities/differences?

The equations are given as:

f(x) = 5x² - 3

g(x) = 5x² + 3

Next, we plot the above equations on the same plane (see attachment)

From the attached graph, we can see that:

Both functions open upwardThe lowest point of f(x) is at y = 3; i.e 3 units above the x-axisThe lowest point of g(x) is at y = -3; i.e 3 units below the x-axis

Hence, the similarities/differences observed in the graph is (c)

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The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.

Answers

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

How to derive the equation of a parabola

Since the directrix is a horizontal line, then we have a parabola with a vertical axis of symmetry. The standard equation of the parabola is described below:

y - k = [1/(4 · p)] · (x - h)²     (1)

Where:

(h, k) - Location of the vertex.p - Distance between vertex and focus.

By analytical geometry we understand that the least distance between the focus and the directrix is twice as the distance between the vertex and the focus. First, we find the coordinates of the vertex:

V(x, y) = 0.5 · F(x, y) + 0.5 · D(x, y)

V(x, y) = 0.5 · (2, 5) + 0.5 · (2, 3)

V(x, y) = (1, 2.5) + (1, 1.5)

V(x, y) = (2, 4)

By Pythagorean theorem we find that the distance between vertex and focus is 1. Then, the equation of the parabola in standard form is:

y - 4 = 0.25 · (x - 2)²

y - 4 = 0.25 · (x² - 4 · x + 4)

y - 4 = 0.25 · x² - x + 1

y = 0.25 · x² - x + 5

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

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1. Solve the equation 2x ^ 3 + 7x ^ 2 - 10x - 24 = 0 in the real number system

Answers

The solution to the given equation in the real number system is x = 2 or x = -4 or x = -3/2

What is a real number system?

A real number system comprises rational numbers, irrational numbers, integers, and whole numbers. When solving a polynomial in a real number system, we need to first factor the polynomial by grouping;

i.e.

= 2x³ + 7x ² - 10x - 24

= 2x³ + 11x² + 12x - 4x² - 22x - 24

= x(2x² + 11x + 12) - 2(2x² + 11x + 12)

= (x - 2) (2x² + 11x + 12)

= (x - 2) (2x² + 8x + 3x + 12)

= (x - 2) (2 (x² + 4x) + 3(x + 4))

= (x - 2) (2x (x + 4) + 3(x + 4) )

= (x - 2) (x + 4) (2x + 3)

In a real number system;

x = 2 or x = -4 or x = -3/2

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The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.
What was the range of name lengths?

Answers

The range of name lengths is equal to 8.

What is a range?

In Mathematics and Statistics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;

Range = Highest number - Lowest number

From the given data set, we have:

Highest number = 10.

Lowest number = 2.

By substituting, we have:

Range = 10 - 2

Range = 8.

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Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(x) = -(x+1)(x-3) ( x+ 2) are -1,3, and blank the y-intercept of the function is located at (0, blank)

Answers

Answer:

see explanation

Step-by-step explanation:

f(x) = - (x + 1)(x - 3)(x + 2)

to find the zeros let f(x) = 0 , that is

- (x + 1)(x - 3)(x + 2) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

the zeros are x = -1, 3 and x = - 2

to find the y- intercept let x = 0

f(0) = - (0 + 1)(0 - 3)(0 + 2) = - (1)(- 3)(2) = - (- 6) = 6

y- intercept is located at (0, 6 )

Which trigonometric function requires a domain restriction of [0, pi/2) ∪ (pi/2 , pi]

The ANSWER is f(x) = secx ----- PLEASE EXPLAIN THANK YOU!!!!!

Answers

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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From your observation : x⁰=​

Answers

Answer:

=1

Step-by-step explanation:

I need help with this problem, please explain​

Answers

Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

Does anybody know this? I keep getting different answers that don t make sense. Find the surface area of the cone

Answers


SA of Cone πr^2(circle area)+ rs π
With r^2+h ^2=s^2
Find the the h which is 2.68
Then you plug ur numbers in the formula which equals 76.45ft
Always double check.


In general, when solving a radical equation with square roots, you should first
isolate the __and then square both sides.
A. variable
B. radical
C. operator
D. coefficient

Answers

The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

How to solve radical equations?

To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.

Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

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Simplify and express your answer in both polar and standard form.
Question 1
(7 cis(45°))²

Q2 below
(-2+2i√3)^5

Answers

Simplifying and expressing each term in standard and polar form are respectively; 49/2 and  -512 - 512i√3

How to express an equation in polar form?

1) We are given the expression;

[7 cos (45)]²

We know that cos (45) in standard form is 1/√2. Thus;

[7 cos (45)]² = (7 * 1/√2)² = 49/2

2) We are given the expression;

(-2 + 2i√3)⁵

Using binomial theorem, we have;

(−2)⁵ + 5(−2)⁴ (2i√3) + 10(−2)³(2i√3)² + 10(−2)²(2i√3)³ + 5 * −2(2i√3)⁴ + (2i√3)⁵

Simplifying each term gives;

−32 + 160i√3 + 960 − 960i√3 −1440 + 288i√3

⇒ -512 - 512i√3

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Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]

Answers

Answer:

Sorry

Step-by-step explanation:

I not know this one

Takeout orders on a typical saturday
hours since noon
(x)
number of
takeout orders
(v)
0
0
12
9
10
11
8
6
7
2
3
4
1
6
14
24
28
30
16
5
6
12
10
3
0

Answers

Value is that you are the most important person to your mom

If you exchange 120 dimes
for dollars, then how many
dollars would you get?

Answers

Answer:

12

Step-by-step explanation:

you divide 120 by 10 since dimes are equal to ten cents

To determine how many dimes are in dollars:

  ⇒ must know the rate of conversion

     ⇒ for every dollar, there are 10 dimes

         ⇒  [tex]\frac{1_. dollar}{10_. dimes}[/tex]

Let's solve:

   [tex]120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars[/tex]

Thus you would get 12 dollars

Answer: 12 dollars

Hope that helps!

         

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The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740 megaliters of water. in 7 years, how much water will be used annually? if necessary, round your answer to the nearest hundredth. What is the remainder when f(x) = x- 13x + 40x + 18 is divided by x-7? Show your work. 15+ 2x = 5 + 3xwhat's the answer Match the following terms and definitions.1. having one mate for a whole life span2.a symbiotic relationship between two organisms in whichboth species receive some type of benefit3.a relationship between two or more organisms of differentspecies in which one benefits and the other is harmeda commensalistic relationship in which one organism istransported by another5. when females mate with multiple males6. when males mate with multiple femalesphoresymonogamymutualismpolyandrypolygynyparasitism 43.7826087 rounded to the nearest tenth What is the area of triangle ABC?A(2,1) B(4,7) C(6,3) Read this excerpt from loom and spindle. one of the first strikes of cotton-factory operatives that ever took place in this country was that in lowell, in october, 1836. when it was announced that the wages were to be cut down, great indignation was felt, and it was decided to strike, en masse. this was done. the mills were shut down, and the girls went in procession from their several corporations to the "grove" on chapel hill, and listened to "incendiary" speeches from early labor reformers. what can be inferred about the time period of the excerpt? check all that apply. factory workers felt frustrated by the lowering of their wages. workers were willing to show their displeasure through strikes. early efforts at strikes became chaotic and violent. the lowell girls were forbidden to voice objections. the lowell strike was followed by other labor strikes. Long text (essay) identify a human services organization's most fundamental philosophy or mission statement. explain why it is important. please help asap!!!!!! please please please If a writer manipulated words to create an advertisement, what did the writer do? 11. Earth's magnetic field...does not affect solar winds is not affected by solar windsprotects Earth from radiationscreates gravitational forces In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t. First draw the line on the graph. Then reflect each vertex of quadrilateral across the line to produce quadrilateral .A four quadrant graph with a line and a quadrilateral with vertex.Vertex Preimage Coordinates Vertex Image CoordinatesA (-3,-2) A' (-2,-3)B (-2,-1) B' (-1,-2)C (-1,-2) C' (-2,-1)D (-1,-4) D' (-4,-1) What is the value of x?tox = [? ] Please Help I Don't Understand. According to Confucianism, your selfworth is made up of your character andwhat else?A. BehaviorC. PositionB. MoneyD. Opposite What are the differences in the internal structures of the cells pictured to the right? Check all that apply Can anyone explain this sentence in a easier way? Thank you! The quantity of water produced by an area that has been burnt may initially increase as there is little vegetation, and subsequently little water use or entrapment. What happens when a driver selects the driving range option from 2023 leafs available ev info menu?. A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at 40 F and evaporates at 140 F. Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points) Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points) Part C: In January 1989, the temperature in Nome, Alaska dropped to 49 F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)I need part bAlso I need it asap please and thanks A total of 10,800 pharmacy technicians were hired last year in particular country. This is 3% of all pharmacy technicians employed in the country. How many pharmacy technicians are employed in the country?