What is the slope of the line containing (-3, 1) and (1, -2)?

Answers

Answer 1

[tex]\textbf{Heya !}[/tex]

use the slope-formula:-

[tex]\sf{\cfrac{y2-y1}{x2-x1}}[/tex]

put-in the values

[tex]\sf{\cfrac{-2-1}{1-(-3)}}[/tex]

[tex]\sf{\cfrac{-3}{1+3}}[/tex]

[tex]\sf{\cfrac{-3}{4}[/tex]

[tex]\sf{-\cfrac{3}{4}}[/tex]

`hope it's helpful to u ~


Related Questions

how old am i if 400 reduced byy one half must subtracted from 257

Answers

You are  57 years old if 400 reduced by one half must subtracted from 257 is your age in the given arithmetic problem.

What is arithmetic?

Mathematical arithmetic, which includes operations on numbers, is its foundation. Addition, subtraction, multiplication, and division are among these operations. The foundation of the subject "Maths" is laid by one of the crucial branches of mathematics: arithmetic.

Despite the fact that the subject involves numerous other modified operations, addition, subtraction, division, and multiplication are the three basic operations under the heading of arithmetic.

Let your age be x

[tex]$x=257-400\frac{1}{2}[/tex]

x = 257 - 200

x = 57

Hence, your age is 57 years old.

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Please help me with my work

Answers

Answer: 27p^15 q^3

Step-by-step explanation:

Suppose a dog toy manufacturer packs 5 solid balls in a cylindrical container. The radii
of the balls and the cylinder are each 10 cm, and the height of the cylinder is 100 cm.
How much empty space is within the container when the balls are packed within it?
You may round your answer to two decimal places.

Answers

Empty space is within the container is 90.The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

How can you determine how much room is empty?

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

The cylinder will have an interior height of 9 inches (three times the diameter of the balls) and an interior diameter of 3 inches (1.5 inch radius). It takes up around 21.2 cubic inches of the cylinder when the balls are not there.

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

According to question:- 100 - 10 = 90.

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What is a table rule?

Answers

Therefore , the solution of the giving problem of tables is  a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

Describe a table.

A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values expression table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.

Here,

Tokens from the address input sequence are mapped to a standardized output sequence using a set of rules found in the rules table.

A rule is described as a collection of input tokens, a set of output tokens, a set of -1 (terminator), a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

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The slope of the line below is -3. Write a point-slope equation of the line using the coordinates of the labeled points (5,-7)

Answers

The point-slope equation of the line for the given slope and coordinates is found as : y = -3x - 16.

Define the term point-slope equation?A line's equation written using a single point here on line and the line's slope is referred to as the point-slope form. The slope has been the rise with run, or the proportion of the change there in y values out over changes in the x values, and the point form is denoted as (x,y).

For the stated question.

The slope of the line m = -3.

Coordinates = (5,-7)

The general point-slope equation is given as:

y - y1 = m (x - x1)

y - 5 = -3(x + 7)

y - 5 = -3x - 21

y = -3x - 16

Thus, the point-slope equation of line for the given slope and coordinates is found as : y = -3x - 16.

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If a power is missing, then the coefficient of the term with that power is

Answers

Answer:

0

Step-by-step explanation:

if no term exists in an expression this means it has a coefficient of 0

This relationship can also be shown in a table. Complete the equation that represents the relationship between n and w.

Answers

Answer: w=10n+8

Step-by-step explanation:

6x10+8=68

7x10+8=78

8x10+8=88

9x10+8=98

Find the slope of the line through the pair of points: (7,5)(-8,4)

Answers

Answer:1/15

Step-by-step explanation
formula = y2-y1/x2-x1;

x1=7;y1=5; x2=-8;y2=4
4-5/-8-7=-1/-15
=1/15

Which of the following are quadratic equations? `(i)3x^2-5x+9=x^2-7x+3` (ii) `x+1/x=1` (iii) `x^2-3x=0`

Answers

Option (i) , (ii) and (iii) all represents quadratic equations as all of them is of degree 2 and coefficient of degree 2 is non-zero.

What is quadratic equation?

Having the form a[tex]x^2[/tex] + bx + c = 0, quadratic equations are 2nd degree algebraic expressions. The meaning of the term "quad," is square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way.

Option i

3x^2-5x+9=x^2-7x+3

so the coefficent of degree 2 is 3-1 which is 2 which is non - zero value so this expression is a quadratic equation.

Option ii

x+ [tex]\frac{1}{x}[/tex] =1

=> [tex]x^2[/tex] -x +1=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

Option iii

[tex]x^2[/tex] -3x=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

so all the 3 option represents a quadratic equation.

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How do you find the perimeter of a concave pentagon?

Answers

The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

What is perimeter?

A perimeter is a closed path that surrounds, encompasses, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or ellipse is its circumference. The perimeter calculation has a variety of practical applications. The perimeter of an object is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the distance between the edges of a two-dimensional form. It is sometimes defined as the total of the object's side lengths. The perimeter of a shape is the algebraic sum of its side lengths. We have equations for the various forms in geometry.

Here,

The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

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What is the formula of XYZ ²?

Answers

Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

Describe a quadratic equation.

A quadratic quadratic in a specific factor is x ax2+bx+c=0, that is a quadratic equation. a 0. The fact that this equation is of second order guarantees that it contains lease one solutions according to the First Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least the word in it should be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the quantitative coefficients or integers a, b, and c.

Here,

Given: XYZ ²

To find the value of XYZ ² ,

Thus,

=> XYZ ² = x² + y² + z² – 2 x y + 2 y z – 2 z x .

So, the solution for this XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

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Brody made 7/8 lb of granola he puts 1/4 lb of granola into each bag how many bags will he be able to fill completely

Answers

3.52bags will be filled completely with 7/8 lb of granola and 1/4 lb of granola

What is word problems?

Word Problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols. Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.

To get the number of bags, we simplify and use the quotient, that is:

We divide the quantity of granola over the number of bags

=(7 / 8 pounds) / (1 / 4 pounds)

=0.88/0.25

= 3.52 bags

Hence, The number of bags that will be filled completely is 3.52 bags

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Sunflower oil is a cooking ingredient that can be used as a substitute for olive. The density of sunflower oil is 0.925 grams per cubic centimeter. A farmer would like to sell bottles of sunflower oil that contain 370 grams of oil. What is the volume of the smallest container that holds 370 grams of oil?

Answers

The volume of the smallest container that holds 370 grams of oil is

400 cm³.

What is density?

Density is mass per unit volume.

We have,

The density of sunflower oil = 0.925

Mass of sunflower oil = 370 grams

Now,

Density = Mass / Volume

So,

The volume of the smallest container that holds 379 grams of oil.

= Mass of the sunflower oil / Density of the sunflower oil

= 370 / 0.925

= 400 cm³

Thus,

The volume of the container that holds 379 grams of oil is 400 cm³.

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How many types has substitution?

Answers

Answer:

"Substitution comes in three flavors: nominal, verbal or clausal, depending on the item being substituted.

Step-by-step explanation:

Hope it helps!

Examine parallelogram RSTU below.
R
S
(6x-9)⁰
(3y-x)°
0
mZR-27⁰
(2y-1)⁰
Om2S-135°
OmZT=45°
OmZU-99⁰
(4x+39)⁰
Determine which of the following values are correct. Select three that apply.
Ox-15
Oy-23
U
T

Answers

Answer:

y = 23 , ∠ S = 135° , ∠ T = 45° are correct

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

6x - 9 = 4x + 39 ( subtract 4x from both sides )

2x - 9 = 39 ( add 9 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ≠ 15

and

3y - x = 2y - 1 , that is

3y - 24 = 2y - 1 ( subtract 2y from both sides )

y - 24 = - 1 ( add 24 to both sides )

y = 23 ← is correct

∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45°  ≠ 27°

∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct

∠ T = ∠ R = 45° ← is correct

∠ U = ∠ S = 135° ≠ 99°

Simplify.

(-3ab3)4

thanks

Answers

Answer: -12ab^3

Step-by-step explanation: (-3ab^3) 4 -12ab^3

Find the product of 1/2a and -8/3b.
using distributive law

Answers

We can use the distributive property to multiply the two fractions together. The distributive property states that for any real numbers a, b, and c, we have (a + b) * c = ac + bc. We can apply this property to the fractions 1/2a and -8/3b:

(1/2a) * (-8/3b) = 1/2 * a * (-8/3) * b

= -4/6ab

= -2/3ab

So the product of 1/2a and -8/3b is -2/3ab

Identify the correct graph of the system of equations.

3x + y = 12
x + 4y = 4

A) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
B) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
C) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

Answers



D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

From Belmont, how much farther is it to riverside than yardley?

Answers

On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.

what are congruent triangles?

Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.

As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.

For green -

=> x = 76° ( both side are same)

For orange -=> x = 90°

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PLS HELP WILL MARK BRAIN THINGY

Answers

The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.

B. x = 6 and x = 3

What is a rotation transformation?

A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.

The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)

The transformation of the figure LMNO = 90° clockwise rotation about the origin.

The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).

Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;

L(-5, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] L'(3, 5)

M(-6, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] M'(6, 6)

N(-4, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] N'(6, 4)

O(-4, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] O'(3, 4)

The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6

Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6

The correct option is B. x = 6, and x = 3

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a) What sum amounts to Rs. 3,600 in 2 years at the rate of 10% p.a.​

Answers

At a 10% annual growth rate, the cash equals Rs. 3,600 in two years. ​ Rs. 3960.

What does total principal amount mean?

The principal is the sum you borrowed and are required to repay, while the interest is what you pay. For the majority of borrowers, the total monthly payment you make to your mortgage company includes additional expenses like homeowners taxes and homeowner's insurance that may be placed in an escrow account.

According to the given information:

here principal(P)=3600, R=10%, n= 2 year

amount A=p(1+R/100)ⁿ

3600(1+10/100)²

3600*11/10

=3690

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The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue facility.

Green Blue Total
Parrot 17 16 35
Parakeet 20 28 48
Total 37 44 83
Find the probability that a randomly selected bird is a parakeet given that it is green.

Answers

The probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

What is meant by probability?

The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The likelihood that the coin will land with the heads side up after being tossed into the air is described using the word probability.

Let,

A be the  Parakee

B be the Green

To find the probability that a randomly selected bird is a parakeet given that it is green.

That means P(A|B)

The number of birds that are both parakeet and green is n(A∩B)=20

The number of birds that are green is n(B)=37

Hence, using the conditional probability formula P(A∣B) = [tex]\dfrac{n(A\bigcap B}{n(B)}[/tex]

P(A∣B) = [tex]\dfrac{n(A\bigcap B)}{n(B)}[/tex]

P(A∣B) = 20/37

P(A∣B) = 20/37 × 100%

P(A∣B) = 54.1%

Thus, the probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

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Someone help me …
100 POINTS!!!

Answers

Answer:

$43

Step-by-step explanation:

165/5=33

33+10=43

Answer:

43

Step-by-step explanation:

165/5 =

33..

+10

43

PLS HELP FAST! At what value of x does the function f(x)=2(3)^(x) overtake the function g(x)=2x^(2)+4x?

Answers

x=2 is value of x does the function f(x).

An easy definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them.

                     In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.

X f(x) g(x)

1    6   6

2  12 16

3  18 30

4  24 48

We can see from this table that f(x) is greater than g(x) starting from x=2

Therefore I think x=2 is your answer.

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there are 208 students going on the school field trip each bus can carry 32 students how many buses will be needed

Answers

Answer:

7 busses

Step-by-step explanation:

208students divided by the number of students per bus 32The answer is 6.5 you can't split a kid in half so you will need to take 7 busses

The parallelogram has an area of 20 square inches. What are the dimensions of the parallelogram, to the nearest hundredth of an inch?.

Answers

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

properties of Parallelogram

The opposite sides are parallel and equal in lengthOpposite angles are equal, Angle A and angle B add up to 180°, so they are called supplementary angles.

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0.7660 = adjacent / 4

adjacent = 4 x 0.7660

adjacent  = 3.06 inch

Length = area/base

Length= 20/3.06

Length= 6.54 in

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What is the additive inverse of 7 by 8?

Answers

The additive inverse of 7/8 is -7/8.

This can be seen when using the additive inverse formula. The additive inverse formula states that if a number is denoted as x, then the additive inverse would be -x. Therefore, when applied to 7/8, it would be -7/8. This can also be seen when adding the two numbers together. When 7/8 is added to -7/8, the sum is 0. This can be seen in the calculation below:

7/8 + (-7/8) = 0

7/8 - 7/8 = 0

0/8 = 0

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What is the measure of y? 3 27 y Z * A z = [?] Give your answer in simplest form.​

Answers

The required measure of x would be 9√10 units for the attached figure.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as follows:

We have to determine the measure of x for the attached figure.

According to Euclidian theorem, the required solution would be as:

x² = 27 × (27+3)

x² = 27 × 30

Apply the multiplication operation,

x² = 810

Apply the square root property for both sides

x = 9√10

Therefore, the required measure of x would be 9√10 units.

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The question seems to be incomplete the correct question has been attached below.

A website charges $3 for each movie you download. They also charge a one-time sign-up fee of $14.99. What is the output variable?

Answers

The Output Variable is Total cost represented by c(m).

What is domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

A website charges $3 for each movie you download.

They also charge a one-time sign-up fee of $14.99.

So, the input variable will be m which shows the number of movies.

and, the output variable will be c which shows the total cost.

Then, the equation models the cost c(m), is c(m)=3m+14.99

Now, putting the values for m = 0, 1, 2, ....

c(0)= 4.99, c(1)= 17.99, c(2)= 20.99

Hence, the output variable is total cost.

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How many solutions exist for a given equation?

Answers

If solving an equation provides a statement that is true for a single value of the variable, such as x = 3, the problem has one solution. If solving an equation provides a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

If solving an equation provides a statement that is true for a single variable value, such as x = 3, the problem has a single solution. If solving an equation produces a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

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