The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?

Answers

Answer 1

Answer:

[tex]\displaystyle m = \frac{5}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (2, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{9 - 4}{2 + 1}[/tex][Order of Operations] Simplify:                                                                        [tex]\displaystyle m = \frac{5}{3}[/tex]

Related Questions

A simple pendulum is made from a 0.864-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Answers

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s

answer.plsssssssssssssssssssssssssssssssssss

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

4(m + 7) = 4 ( divide both sides by 4 )

m + 7 = 1 ( subtract 7 from both sides )

m = - 6

(2)

let the number be n , then

[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )

3n - 10 = 200 ( add 10 to both sides )

3n = 210 ( divide both sides by 3 )

n = 70

The required number is 70

(3)

The 4 sides of a square are congruent , then

length of side = 36 cm ÷ 4 = 9 cm

Select the correct answer.
Solve the following inequality.

-8 < 3x + 1 < 7

A.

B.

C.

D.

Answers

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2

4z-2 when z=3
plz help

Answers

Answer:

10

Step-by-step explanation:

4 times 3 = 12

12-2=10

What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.

Answers

Answer:

The unknown value is being subtracted from 702 is 650

Step-by-step explanation:

Long division setup showing an incomplete calculation

13 is in the divisor

3302 is in the dividend

2 hundreds and 5 tens is written in the quotient

2600 is subtracted from 3302 to give 702

An unknown value represented by a box is being subtracted from 702

We need to find this number

Lets write the steps above

∵ The dividend = 3302

∵ The divisor = 13

- 2 hundreds means 200 and 5 tens means 50

∵ The quotient = 200 + 50 + x

∵ Dividend = divisor × quotient

∴ (13 × 200) + (13 × 50) + (13 × x) = 3302

∵ 13 × 200 = 2600

- Subtract 2600 from the dividend

∴ 3302 - 2600 = 702

∵ 13 × 50 = 650

∴ 702 - 650 = 52 ⇒ 650 is the unknown value

∵ 13 × x = 13x

∵ 52 - 13x = 0

- Add 13 x to both sides

∴ 52 = 13x

- Divide both sides by 13

∴ x = 4

∴ 3302 ÷ 13 = 200 + 50 + 4

∴ 3302 ÷ 13 = 254

∴ From the steps above the missing number subtracted from

  702 is 650

If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y

Answers

Answer:

3^7

Step-by-step explanation:

https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ

it will tell you why hear

Introduction to Dividing Whole Numbers
Five friends shared $87 and kept this record of how they did it. What does the 2
represent?

Answers

Answer:

probably a

Step-by-step explanation:

[tex]\lim_{n \to \infty} (xe^{x} )/x+e^{x}[/tex]

Answers

[tex] \: \: \: \: [/tex]

[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]

the limit of a constant is equal to the constant

[tex] \frac{x {e}^{x} }{x + ex} [/tex]

simplify the expression

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

hope it helps

[tex] \: \: \: [/tex]

The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?

Answers

The answer is June your welcome

Solve for x.
100°
(2x+3)
51°

Answers

Answer:

23

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

       2x = 100 - 54

      2x = 46

        x = 46/2

       x = 23

what should be added to -1 to get 5/7
Pls answer thiss

Answers

12/7. -1+x=5/7 solve for x you will get 12/7 hope this helps

Answer:

The answer is 12/7.

Step-by-step explanation:

To get the answer, simply subtract -1 to 5/7

[tex]\frac{5}{7} - (-1)\\[/tex]

Find the least common denominator.

[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]

= 12/7

To check, add -1 to 12/7.

[tex]\frac{12}{7} + (-1)[/tex]

Find the least common denominator.

[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]

= 5/7

change to mixed number

42/8

Answers

Answer:

42/8= 5 2/8

explanation:

8*5=40  42-40=2

therefore  

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Which of the following shows the
Commutative Property?
A 3 + 6 = 6-3
B 3X 6 = 6 = 3
C 3X 6 = 6 - 3 X (3 X 2)
D 3 X 6 = 6 X 3

Answers

Answer:

D

Step-by-step explanation:

Commutative switchs the numbers but not with subtraction or divion

Answer:

it is D I know because it is the opposite

PLEASE HELP, PIC IS ATTACHED

Answers

Answer:

1. 1

2. 14

3.9

4. 15

5.17

step-by-step explanation:

take X and times it by 4 then add 9

Help me please!!!!!!!!!!!

Answers

6-4x=7x-9x-6
6-4x=-2x-6
6=2x-6
12=2x
6=x

what is it called when a constant and variable are combined (math)​

Answers

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

Please please help please help me help please help me

Answers

Your equation should be y= 9/10x-5

what is the domain and range?

Answers

For which dot? You have to have a specific dot

If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?

Answers

[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]

Help my questions in the pic fast

Answers

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

Original price of a puppy $159.95 Discount 15% Tax 8.725%?

Answers

Answer:

$124.095

Step-by-step explanation:

Discounted Price= $159.95- 15%of $159.95=$135.9575

Final Price= Discounted price + Tax

= $135.9575+ 8.725% of $135.9575

= $135.9575-$11.8622

=$124.095

f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)

Answers

Answer:

23

Step-by-step explanation:

On a coordinate plane how are the location of points -6,7 and -6,-7 related

Answers

Answer:both involving 6 and 7. (-6,-7) would be in quadrant 3 while point (-6,7) would be on top of it in quadrant 2.

Step-by-step explanation:

Select the table of values that you would use to graph f(x) = 3x2 – 4.
Hello Please help.

Answers

The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex]  is option "B"

What is point on graph?

A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.

According to the question

Points on graph for equation :

[tex]f(x) = 3x^{2} -4.[/tex]  

Now,

Table of points on graph

x                  y

-2                8

-1                 -1

0                 -4

1                   -1

2                   8

Hence, The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex]  is option "B" .

To know more about points on graph here:

https://brainly.com/question/27934524

#SPJ2

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?

Answers

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

Learn more here:

https://brainly.com/question/23589217

Answer:

360

Step-by-step explanation:

6!/(6-4)!

Complete the equation to show how many tenths are equivalent to 1/2

Answers

Answer:

5/10

Step-by-step explanation:

Use substitution to determine which value of x makes the equation x– 5 = 7.4 true
x=2.4
X= 6.9
X= 7.9
X = 12.4

HELPPPP​

Answers

Step-by-step explanation:

I'm not sure if I'm using substitution method but I guess it's x = 12.4


Ahh can someone helpppp

Answers

X= 2, x= 2.5 and x= 7

1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number​

Answers

a. exponent that is a short answer but i need more words hope u have a good day :)

What is 2+2=?
PLS HEP ME
I in kindergarden.

Answers

Answer:

4

Step-by-step explanation:

You want a cookie?

Answer:

2+2 = 4

Step-by-step explanation:

1+1+1+1 = 4

Hope this helped!

mark me brainliest :D

Other Questions
Which group has the maximum number of valence electrons attainable? Proteins have two main secondary structures: _______, which are spirals formed by hydrogen bonds between amino acids, and _______, which are formed by a bend in the amino acid with alternating hydrogen bonding between amino acids. what is one factor that led to increased economic growth in early civilization The sales interns of Nortrom Inc., an electronics company, call the company's potential clients and inform them about the company's various products and offers. In this scenario, the sales interns of Nortrom Inc. are engaged in _____. dont mind the 28, i literally have no idea. pls help ^^^ thx Brainliest if correct 4.3 All-Black TownsOklahoma Jim Crow laws disillusioned some African Americans in OklahomaA. TrueB. False the new slide command on the ribbon lets you choose ________. the high proportion of women and children among the workers reflected in the table is best seen in the context of the PLEASE HELP1. A closed bottle contains a mixture of Ar and O2 at 25.3C. If the partial pressure of Ar inthe bottle is 0.447 atm and the total pressure of the bottle is 1.024 atm, what is the partialpressure of O2 in the bottle? Need help with this pls asap Danny deposited $500 into a savings account that earns 2% interest annually. How muchmoney will he have after 25 years? Me acuerdo que mi amigay yo nos peleamos un daporque copi misrespuestas en un examen.Estaba furiosa.AndreaTranslate to English? 7x-12y=180 7x=84 i need someone to explain step by step HELP MEEEEEEEE FOR ALOT OF POINTS PLEASE!!! Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can prepare?Group of answer choices181263 why is the Nepal more vulnerable to earthquake LED lightbulbs are the most energy efficient way to light your home, as they use _____ of the energy of a comparable compact fluorescent bulb. two hundred and seventeen thousandths in decimal form which freedom was most important to the british settlers who originally settled pennsylvania? A ball is thrown up onto a roof, landing 4 sec later at height of 20m above the release level. The balls path just before landing is angled at 60 degree with the roof.a) find the horizontal distance d it travels.b) what is the magnitude of the balls initial velocity?c) what is the angle (relative to the horizontal) of the balls initial velocity?