identify the meanings of the varibles in the point-slope form of a line

Identify The Meanings Of The Varibles In The Point-slope Form Of A Line

Answers

Answer 1

The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

Given that the variables in the point-slope form of a line.

The general form of the equation of a line is y - y₁ = m (x-x₁) where  m is the slope of line, y₁ and x₁ is any point on the line

It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane

m = slope of the line

The general equation of a line is y = mx + c where

m = slope of line

(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on

(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis

Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

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Related Questions

m
=
11
x
+
1
,
DCH
m
=
8
x
,
and
DCB
m
=
172
°
.
Find
DCH
m
.

Answers

The value of the angle DCH is 72 degrees

How to determine the value of the angle DCH?

The given parameters are

m = 11x+1,

DCH = 8x,

DCB = 172°.

The above means that:

11x + 1 + 8x = DCB

This gives

11x + 1 + 8x = 172

Evaluate the like terms

19x = 171

Divide both sides by 19

x = 9

Substitute x = 9 in DCH = 8x,

DCH = 8 * 9

Evaluate

DCH = 72

Hence, the value of the angle DCH is 72 degrees

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which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?

Answers

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

What is the average change rate?

It quantifies how significantly the function changed per unit on average over that time interval. The slope of the single direction connecting every interval's ends on the function's graph is used to calculate it.

What is the distinction between the slope and the average rate of change?

As we can see, slope is another way of calculating the average change rate. The average rate of change is calculated by dividing the difference in the dependent  (y-term) by the difference inside the independent variable (x-term). The slope, as well as average rate of change are the same thing.

According to the given data:

The function is given to f(x)

The interval is given to be [2,9]

Let a = 2 and b = 9

The expression which is used to determine the average rate of change in f(x) is given by

f'(x) = (f(b) - f(a))/b - a

f'(x) = (f(9) - f(2))/7

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

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What is the distance between P(−4, 3) and Q(6, 1)? Round to the nearest tenth.

Answers

Answer:

I believe I did it right. I solved it with distance formula.

Answer : D =

[tex] \sqrt{104} [/tex]

= 10.2

which of the following is an advantage of a cumulative frequency polygon over a histogram or frequency polygon?

Answers

An advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.

What is a cumulative frequency polygon?A sort of frequency polygon that displays cumulative frequencies is called a cumulative frequency polygon. In other words, the graph adds the cumulative percentages from left to right. On a cumulative frequency polygon's graph, class boundaries are shown along the x-axis and cumulative frequency is shown on the y-axis.

Now,

Two alternative methods of graphically presenting data given in the form of a frequency distribution are frequency polygons and histograms. While a histogram can only be created for grouped frequency distribution, the frequency polygon can represent both grouped and ungrouped (discrete) data.Since it is easier to compare the frequencies in cumulative frequency polygon as compared to these two, the former has an advantage over the latter.

Hence, an advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.

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I need help with the introduction to probability lesson. The photo is attached below.

Answers

Answer:

.50 = equally likely as unlikely

1 = certain

.25 = unlikely

0 = impossible

.75 = likely

Step-by-step explanation:

Think of these as percentages, it'll help you figure out.

.50 is 50%

1 is 100%

.25 = 25%

0 is 0%

.75 = 75%

with an average speed of km per hour,a bus takes 10 hour to arrive kathmandu from biratnagar.in how early does it arrive kathmandu,if its average speed is increased by 5 km per hour?​

Answers

It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;

Average speed = 45 km/h;

Total time taken to arrive Kathmandu from Biratnagar = 10 hours

∴ Distance between Kathmandu and Biratnagar = Speed × Time

                                                                                    = 45 × 10

                                                                                    = 450 km;

If average speed is increased by 5 km/h, new average speed = 50 km/h;

New time to reach Kathmandu = Distance/ Time

                                                   = 450/50

                                                   = 9 hours;

It arrives 10 - 9 = 1 hour early in Kathmandu;

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A survey asked high school cell phone users how many minutes they use their phones to talk each day. The
box plot summarizes the responses.
Between what two numbers do the lower fourth of the responses fall? Put your answer in the box using this
format #and #. Do not include any spaces between the number and the word and when entering your answer.

Answers

The lower quartile of the data is said to fall between  1.5 and 2.5 respectively in the box plot that we have here.

How to find the lower quartile from the box plot

The lower quartile is the lower 1/4th of the data distribution. It is the 25th percentile of the distribution that we have in the question.

This point is what is marked at the starting point of the box that we have in this question.

The lower quartile is given by 2 and we can see that that it is bounded by the two numbers of 1.5 and 2.5.

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In the first quadrant,you start at (11,8) and move 9 units left and 3 units up

Answers

The result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.

What do we mean by quadrants?A quadrant is an area enclosed by the x and y axes; thus, a graph has four quadrants. To explain, the two-dimensional Cartesian plane is divided into four quadrants by the x and y axes. Quadrant I begins in the upper right corner and progresses counterclockwise through Quadrants II through IV.

Refer to the graph given below:

After moving 9 units left and 3 units up, the result is (2,11).

Therefore, the result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.

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In 10 and 11 complete each sentence then use the laws of exponents to write an equivalent expression for the given expression.

Answers

The results of the computation using the laws of exponents are 2^12 and 2401/256

What is indices?

When we have two numbers, one serving as the base and the other being the index, we could be able apply the laws of indices when we are solving the problem. There are several laws of indices such as; multiplying, dividing, power of 0, brackets, negative and fractional powers.

In order to solve these problems, we need to apply the statements of the laws of indices.

In the first case we have;

2^16 ÷ 2^4

2^16/2^4

Using the subtraction law;

2^16 - 4 = 2^12

Again;

(7/4)^4

By the power law

7^4/4^4 = 2401/256

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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
midpoint ​(20​,21​), endpoint ​(19​,​12)

Answers

(-1, 2))

You just to make use of the Midpoint Formula to solve for the missing coordinate

Midpoint Formula

((x1 + x2)/2, (y1 + y2)/2)

Midpoint (0,-1) end point (1,-4)

Let x1 = 1, the x coordinate of the endpoint

Let x2 = the x coordinate of the unknown endpoint

Let y1 = -4, the y coordinated of the endpoint

Let y2 = the y coordinated of the unknown endpoint

Just plug in the values and do the calculations

For the x coordinate of the unknown endpoint

(x1 + x2)/2

(1 + x2)/2 = 0

1 + x2 = 0

x2 = -1

For the y coordinate of the unknown endpoint

(y1 + y2)/2

(-4 + y2)/2 = -1

-4 + y2 = -2

y2 = -2 + 4

y2 = 2

So the coordinates of the other endpoint are (-1,

choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.

Answers

Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.

What do we mean by experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.

So, the variables that are most important in an experiment about the rate at which bread turns moldy are:

Humidity.Age of bread.Type of bread.Type of storage container.

Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.

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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.

a. humidity

b. B time of day

c. age of bread

d. type of bread

e. shape of bread

f. height of observer

g. type of shelf surface

h. type of storage container

Today Julia practiced her flute for 9 minutes fewer than twice the amount of time she spent
yesterday. If m represents the number of minutes spent practicing yesterday, then the
expression 2m-9 represents how much time she practiced today. JSuppose Julia practiced for
25 minutes yesterday. How many minutes did she spend practicing the flute today?
50 minutes
O 49 minutes
O 41 minutes
O 36 minutes

Answers

Answer:

Julia would have spent 41 minutes.

Step-by-step explanation:

We know that the equation is 2m - 9, and that m is equal to 25.

So all we have to do is solve.

2m - 9

= 2(25) - 9

= 50 - 9

= 41

So Julia practiced 41 minutes that day.

Hope this helped! :D

Twice a number y increased by seven

Answers

The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.

A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

Let us take an expression 5a²+2c+7 is an algebraic expression. Where

a,c are variables 5 and 2 are coefficients and 7 is the constant.

The given statement is "Twice a number y increased by seven". let us break it into smaller parts:

Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.

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What is the common ratio between successive terms in the sequence?
27, 9, 3, 1.7.
27
O-3
عد اس مراس
01/1/0
O 3

Answers

Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

Find the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. write the final answer in scientific notation. 6 x 1048 6 x 1024 6 x 100 6 x 10−48

Answers

The quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴)  is found out to be 6 × 10⁰.

What is meant by scientific notation?

For writing exceptionally large or extremely small numbers, scientific notation is comparable to shorthand. A process is limited to a number multiplied by ten rather than written in decimal form.

In a mathematical equation, the "coefficient" is the first number. The coefficient must be less than ten and greater than one. For example, the coefficient for developing scientific notation for the number 256 is 2.56.As in the equation, the second number is a power of ten, presented as a power of ten with just an exponent, such as 10², which stands for 10 x 10.

Now, as per the expressed equitation;

= (30 × 10⁻²⁴)/(5 × 10⁻²⁴)

Divide the numerator (30 × 10⁻²⁴) by denominator (5 × 10⁻²⁴) by the quotient.

= 6 × 10⁰

Therefore, the quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴)  is calculated as 6 × 10⁰.

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Formula of the area of a trapezoid

Answers

Answer:

[tex]A = \frac{a+b}{2} + h[/tex]

Step-by-step explanation:

A is the area. a and b are the lengths of the two bases. h is the height of the trapezoid.

Answer:

Step-by-step explanation:

A=[tex]\frac{base1+base2}{2}height[/tex]

The coordinate a,b are co-linear, and b lies between a and c. if ac= 36, ab= 2x + 4 and bc= 4x + 2, what is the value of x?

Answers

When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

Given,

The coordinates a and b are colinear.

The point b lies between a and c

Therefore,

ac = ab + bc

ac= 36

ab= 2x+4

bc= 4x+2

Substitute the values

36= 2x+4 + 4x+2

36= 6x+6

6x= 36-6

6x=30

x=5

Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

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5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the \

Answers

For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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The school newspaper wants to find the opinions of students on availability of campus parking. They send a staff member to stand outside a busy dorm and interview students as they walk in or out of the building. What type of sampling process did the paper use?.

Answers

The sampling process used by the school newspaper is convenience sampling.

Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.

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99 times 76 solve first for BRAINLIEST

Answers

Answer: 99 x 76= 7524

Step-by-step explanation:

Answer:

7524

Step-by-step explanation:

what is the slope of the line that passes through the points (4,-2) and (4,10)? write your answer in simplest form

Answers

Answer:

x = 4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (10 - -2)/(4 - 4) = 12/0

so slope is undefined

therefore the line is a vertical line, which is x = 4

What is 4a +22
______
10-b

Answers

I’m not sure if you are trying to solve for b but if not pls tell me so I can answer but b=10

Out of the incoming freshman at a collage 2,268 of them are female. how many incoming freshman are there if 58% are male?

Answers

When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

Given,

Number of females = 2268

Consider the total number students as x

Percentage of male = 58%

Then the equation will become

x-2268= x×[tex]\frac{58}{100}[/tex]

x-2268=0.58x

x-0.58x=2268

0.42x=2268

x=5400

Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

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what is the estimated sum of 69, 129, 139, and 97

Answers

Answer:

cluster estimation is to estimate sums when the numbers being added cluster near in value to a single number. it is 100 in this case.

estimate sum = 100x4 = 400

Step-by-step explanation:

Answer:

440

Step-by-step explanation:

Round all of the numbers, and then add them.

Please give brainliest if this was helpful!

Can someone help me on this question and explain the process

Answers

Answer:

Step-by-step explanation:  Use Pythagorean Theorem

                              [tex]a^2 + b^2 = c^2\\[/tex]

                            [tex]15^2 + b^2 = 9^2\\[/tex]

                          [tex]225 + b^2 = 81[/tex]

                            [tex]- 255[/tex]        [tex]-255[/tex]

                             -------------------

                              [tex]b^2 = 174\\[/tex]

                             [tex]b^2 = \sqrt{-174}[/tex]    

In a box of Toasted O’s cereal, there are 15.4 ounces of cereal. If each box cost $3.59, what is the cost per ounce? Round to the nearest penny.
1 point

Answers

When each box cost $3.59, the cost per ounce will be $0.23 ounce.

How to calculate the value?

In the box of Toasted O’s cereal, there are 15.4 ounces of cereal and each box cost $3.59.

Therefore, the cost per ounce will be:

= Total amount / Number of ounce

= $3.59 / 15.4

= $0.23 per ounces

Therefore, when each box cost $3.59, the cost per ounce will be $0.23 ounce.

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following is an equation of a circle in the xy-plane with center(-2, 1) and a radius with endpoint (0,2)? a) (x-2)(y 1)2 5 b)

Answers

The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.

What is circle?

A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."

Circle Formula: (x - h)² + (y - k)² = r² ;

Where, (h, k) is the centre & r is the radius of the circle.

Use the distance formula for(-2, 1) and (0,2)

[tex]\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}[/tex]

Further simplifying;

r = √(4 + 1)

r = √5

Centre (h, k) = (-2, 1)   Radius (r) = √5.

(x - h)² + (y - k)² = r²

(x + 2)² + (y - 1)² = √5²

(x + 2)² + (y - 1)² = 5 is the equation of the circle.

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please help me on this ...

Answers

Answer: 5m

Step-by-step explanation: multiply the numbers.

5m is going to be your answer

1 What is the domain of the following function?
A -4 B 4≤x≤1.5
C -5 D -5≤y≤6

Answers

The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.

What is Domain ?

A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.

From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.

So, we can say that the domain of the function is -4 ≤ x ≤ 1.5

Therefore, the correct answer is option B.

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h(x)= 12/2x+16

find h(-8)​

Answers

Answer -

[tex] \frac{61}{4} [/tex]

Step-by-step explanation:

Greetings !

Given expression( function )

[tex]h(x) = \frac{12}{2x} + 16[/tex]

Thus, plug in -8 in the variable x and solve as follows:-

[tex]h( - 8) = \frac{12}{2( - 8)} + 16[/tex]

Multiply the numbers 2.(-8) = -16

[tex] = \frac{12}{ - 16} [/tex]

Apply the fraction rule

[tex] \frac{a}{ - b} = - \frac{a}{b} [/tex]

[tex] = - \frac{12}{16} [/tex]

[tex] = - \frac{ 12}{16} + 16[/tex]

cancle

[tex] \frac{12}{16} = \frac{3}{4} [/tex]

Factor the number: 12 = 4.3

[tex] = \frac{4.3}{16} [/tex]

Factor the number 16 = 4.4

[tex] = \frac{4.3}{4.4} [/tex]

cancel the common factor =4

[tex] = \frac{3}{4} [/tex]

Thus,

[tex] = \frac{ - 3}{4} + 16[/tex]

Convert 16 to fraction :

Apply the fraction rule

[tex]a = \frac{ab}{b} [/tex]

[tex] = \frac{16.4}{4} [/tex]

Multiply the numbers 16.4=64

[tex] = \frac{64}{4} [/tex]

[tex] = - \frac{3}{4} + \frac{64}{4} [/tex]

Apply the fraction rule

[tex] \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} [/tex]

[tex] = \frac{ - 3 + 64}{4} [/tex]

Add the numbers -3+64 ==61

[tex] = \frac{61}{4} [/tex]

Hope it helps !!

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