8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, -3)

Point (2, 1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 5[/tex]

Related Questions

(Please help!!) Solve: x2+6x+9

Answers

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

7 - 1/4 X 12 +(3/4+1/2) + 8 ÷ 2+2 X 3 =

Answers

The answer that I found when solving this is (16.125)

how can i solve that equation by factoring

Answers

Answer:

y = ( x + 3 )( x + 5 )

Step-by-step explanation:

N/A

Answer:

[tex]y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3[/tex]

a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages

Answers

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?

1/2

8

-4

2

Answers

I Picked B random and got it right

Find x if the average of 20, 15, 13, 17, and x is 18.

Answers

Answer:

5

Step-by-step explanation:

If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?

Replace the value of a to complete the equation.

Answers

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

How to determine the equation of g(x)?

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

https://brainly.com/question/1548871

#SPJ2

Olivia’s makes $825 per week at her job at Target. She is paid an additional $15.00 for every hour of overtime she works. Olivia’s goal was to make at least $900 on her paycheck. How much overtime would she have to work to accomplish her goal?
Write, solve and graph the inequality.

Answers

Answer:

Step-by-step explanation:

900-825=75

75/15=5

5 hours extra

Please answer this question

Answers

Someone else is answering it but if they get it wrong then, and I’ll help you
I pretty sure it’s the second one but I’m not completely sure but I tried my best

32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.

Answers

Answer: = 16

Step-by-step explanation: Hope this help :D

Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article​.
solution by step:

Answers

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

What exactly is profit?

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

To learn more about the profit refer to the link;

https://brainly.com/question/15036999

#SPJ1

MATH HELP

Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.

Answers

Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]

Step-by-step explanation:

We are given this data and asked to find the data.

8, 7, 8, 5, 4, 6

The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.

[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]

First, we calculate the sum of the terms. Add up all the numbers.

sum= 8+7+8+5+4+6 sum= 38

[tex]mean=\frac{38}{number \ of \ terms}[/tex]

Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).

[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]

Let's round to the nearest tenth.

6.33333333333

The 3 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]mean \approx 6.3[/tex]

The mean number of movies the students saw is approximately 6.3

Step-by-step explanation:

Terms are

8,6,8,5,4,6

[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]

[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]

[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]

There are 26 gold fish in the tank at the store. How many ways can Ben choose five?

Answers

Answer:

65,780 im pretty sure

Step-by-step explanation:

What is the area of the triangle??

Answers

15 square units because all of the blocks together or combined would be 15 full squares

Answer:

Answer is 12

Step-by-step explanation:

height is (4 square untis) and base is (6 square units).

Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.

Hope this helps !

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer: I believe the answer is D

Step-by-step explanation:

Answer:

B. Number of days she trains

Help! I will give brainliest to the best answer.

The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?

Answers

Answer:

60 inches = 5 feet.

Step-by-step explanation:

12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high

The shape of a lateral face of a pyramid is always an isosceles triangle?​

Answers

Answer:

No.

Step-by-step explanation:

Because the lateral faces of a regular pyramid are congruent isosceles triangles. The altitude of any of these triangles is the slant height of the regular pyramid.

¿En què situaciones usamos los nùmeros enteros positivos y negativos, escribe 2 ejemplos de cada uno? Por favor para ahora hocino me jalan :(

Answers

Respuesta:

Los enteros positivos, o números enteros, se utilizan de muchas maneras durante la vida diaria. Los números de carretera se contabilizan junto con los límites de velocidad de la carretera. Los enteros se utilizan para comprender qué velocidad conducir en una carretera determinada. Los números en los relojes se utilizan para entender la hora y para configurar las alarmas del reloj. Hay números en edificios y casas para identificar direcciones y números para los niveles de piso dentro de los edificios. Los mapas utilizan enteros para proporcionar dirección e información. Los enteros negativos pueden ser menos obvios para su uso en la vida cotidiana. Algunos ejemplos de uso negativo de enteros incluyen las lecturas del termómetro, manteniendo la puntuación en un juego de hockey, altitud y bancos. Aunque todos estos ejemplos utilizan enteros positivos, también utilizan enteros negativos. Un termómetro utiliza negativo enteros para representar temperaturas por debajo de cero. En hockey, cuando el otro equipo anota en la línea del primer equipo, es un menos, pero cuando el primer equipo anota, es un plus. La altitud que está por debajo del nivel del mar está representada con números negativos. Los bancos y las cooperativas de crédito representan débitos con enteros negativos y créditos con enteros positivos.

Please help!!!!!!!!!! !!

Answers

Answer:

[tex]The ~length~ is ~9.6~ units[/tex] ✔︎

༄❁༄❁༄❁༄❁༄

[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]

[tex]Using~ Pythagorean ~theorem:[/tex]

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

[tex]c^2=(8)^2+(2)^2[/tex]

[tex]\sqrt{c^2} =\sqrt{68}[/tex]

[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]

»»---------------------►

[tex]d^2=c^2+e^2[/tex]

[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]

[tex]d^2=68+25[/tex]

[tex]\sqrt{d^2} =\sqrt{93}[/tex]

[tex]d=\sqrt{93} ~or~9.6[/tex]

[tex]So, your~ answer ~is ~9.6[/tex]

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

Answer:

Using Pythagorean theorem

C²=A²+B²

c=(8)²+(2)²

√c²=√68

c=2√17 or √68

d²=c²+e²

d²=(2√17)²+(5)²

d²=68+25

√d²=√93

d=√93 or 9.6

OAmalOHopeO

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the area of the table top, in square feet? A (5x3x4) + (4x2) C (4 3 5) 1 1··2(2 3 4) B (9 3 4) 1 (4 3 5) D (4 3 9) 1 1··2(5 3 4) 5 feet 4 feet 2 feet 9 feet

Answers

Answer:

60

Step-by-step explanation:

The expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

How to determine the area of the tabletop?

The dimension of the tabletop is:

Parallel sides = 5 feet and 9 feet

Height = 4 feet

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

This gives

Area = 0.5 * (5 + 9) * 4

Hence, the expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

Read more about areas at:

https://brainly.com/question/24487155

#SPJ2

PLEASE HELP <3
Mrs. Neville determined the following annual expenses for energy from her last year's bills: electricity = $4,135; gas = $890; water and sewer = $698. If she budgets 25% more for next year, what is her monthly budget for energy?
$521.87
$547.22
$596.15
$601.44
None of these choices are correct.

Answers

Answer:

n=21000.

Step-by-step explanation:

$3.60

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.

Answers

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

Help! Please anyone. I need help!

Answers

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

What is the value of S4 for infinity sigma n=1 10(0.2)^n-1

A. 2.48
B. 12.48
C. 16
D. 24

Answers

Answer:

The answer is B. 12.48.  I hope you have an amazing day <3

Step-by-step explanation:

Answer:

The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48

Step-by-step explanation:

Summation

summation is the addition of a sequence of any kind of numbers

Here we need to find the summation of first four terms.

so ,

S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex]  = 0.08

S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4

S₂ = 10 ×  [tex]( 0.2 )^{2-1}[/tex] = 2

S₁ = 10  ×  [tex]( 0.2 )^{1-1}[/tex] = 10

Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48

To know more about the summation click here.

https://brainly.com/question/542712

#SPJ2

A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?

A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5

thank you !!:) <3

Answers

Answer: i think it’s D

Step-by-step explanation:

What is the answer??

Answers

Answer: .41+.34=.75

Step-by-step explanation:

Calcula el Volumen óptimo de pedido, el punto de pedido y el Stock de
seguridad de un producto cuya demanda anual es de 85.000 unidades.
Se estima que el coste de emisión de los pedidos es de 4 € y el coste de almacenamiento
unitario es de 0,50 €.
El plazo normal de envío de los proveedores es de 3 días y el plazo máximo de envío de 5.
Utiliza el año comercial.

Answers

Answer:

I don't speak spanish

Step-by-step explanation:

Other Questions
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is its perimeter. Some background information on Stonehenge? Plzzz help!!A(n) ___ combined the study of medicine, science, art, mysticism, and astrology. biologist Protestant alchemist philosophe 2 + = 5= 5 - x also need method Molecules are always in motion. True False Who is ur favorite to win the champions league? why do conduction band electrons posses very high energy's.h What did Ari draw?O a food chainO a trophic chaina food webO an energy web Enter the opposite of 4/5 and negitive 7/15 HELP WITH EASY QUESTION ( NO spam or link or files or answer will be reported / account to be banned) Can someone help me plsssss PLEASE HELP ME ! IMAGE IS BELOW IF YOU GET IT RIGHT I'LL MARK BRAINLIEST Whats the correct answer for 29???? Write the algebraic expression for twice a number n decreased by seven Help, I tried! I tried using PEMDAS, but I cant figure it out. Please explain this problem. Paige is her mother's age. If the sum of their ages us 30, how old is Paige? explain the russo-japanese-war the net of the rectangular prism is shown below. use a ruler to measure the dimensions of the net to the nearest half centimeter. what is the total surface area of the prism? can someone pls answer this i need the answer asap Which expression is equivalent to 3 (x-9) + 6? Why is Ophelias funeral so brief and unceremonious? A. The family does not want to draw attention to herB. Her brother Laertes thinks this is properC. The king rushed the planning without notifying anyoneD. She is a su icide and doesnt receive a full funeral