Find the distance d(P1, P2) between the points P1 and P2.

P1 = (4,-5); P2 = (3,3)

d(P1,P2) =
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer 1

Answer:

[tex]\displaystyle d = \sqrt{65}[/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

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

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{(3-4)^2+(3--5)^2}[/tex][Distance] [√Radical] (Parenthesis) Simplify:                                                 [tex]\displaystyle d = \sqrt{(3-4)^2+(3+5)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add:                                          [tex]\displaystyle d = \sqrt{(-1)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{1+64}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{65}[/tex]

Related Questions

A restaurant uses 8 pounds of potatoes to make 15 servings of hash browns. At this rate, how many servings of hash browns could be made if they had 72 pounds of potatoes?

Answers

Answer:

135

8*9=72

15*9=135

Answer:

135

Step-by-step explanation:

Slope is
1
2
y-intercept is 7


Asapppp. Hurrryyyy

Answers

Answer:

draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.

from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points


I need help with this

Answers

it’s 60 degrees so the first one
The answer will be 60 degrees
Hopefully it’s right

What is x equaled too

Answers

Answer:

8/15 or 8 over 15 should be the answer

A fair charges an admission fee of 3 dollars for each person. Let c be the cost of admission in dollars for p people wrote an equation relating c to p graph your answer

Answers

Answer:

c = 3p

graph is in the image attached

Step-by-step explanation:

HELP MIDDLE SCHOOL QUESTION
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. DO NOT ROUND.

Answers

Answer:

0.00375

Step-by-step explanation:

Divide 1.875 by 500. This divides the total thickness into 500 groups, or 500 papers. The answer is unrounded

Answer:

points

Step-by-step explanation:

You bought some stock, and then the stock price went down by 17.2% from the purchase price. By what percentage would the price have to increase for the investment to be back to the original value?

Answers

Step-by-step explanation:

Let's pick some easy numbers for illustration.

Let x equal our initial stock purchase, and, say it was $100.

x = $100

The problem says it's value dropped by 17.2%. If x = 100 is 100% of our stock value the 17.2% less is

[tex]x - 0.172x = 0.828x[/tex]

So now our stock is worth 0.828(100) = $82.80.

Now how much of an increase do we need to get back to $100.

[tex]100 - 82.80 = 17.20[/tex]

So our base is $82.80 because our stock price dropped, we want to know what percent increase is $17.20 of $82.80

[tex]17.20 \div 82.80 = 0.2077[/tex]

Or 20.77% increase to get back to original price.

To make this generic, since $100 is not supplied information, substitute x for 100 and 0.828x for the amount of money dropped.

x = original stock value

[tex]x - 0.828x [/tex]

Is the amount of value lost, and to be regained in the second part of the question.

To find out what portion the decrease is of the new value

[tex] \frac{(x - 0.828x)}{0.828x} = \frac{0.172x}{0.828x} = 0.2077 [/tex]

Or 20.77%

I see you already received your answer, hope tomorrow goes an excellent route :)

What is 0.564 written in expanded form?

Answers

Answer:

0.5 + 0.06 + 0.004 in expanded form.

Step-by-step explanation:

Find the tan of angle T....

Answers

7/24 because it is opposite over adjacent

a car has a mass of 1,200 kg. what is it's acceleration when the engine exerts a force of 600 N ? (formula: F= ma)

Answers

Answer:

In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N

Step-by-step explanation:

F=600N
M=1,200kg

600N=(1,200kg)(acceleration)

Acceleration=0.5 m/s^2

Please help me i am taking a test and i really need help

Answers

Answer:

31.4159in

Step-by-step explanation:

Answer:

31.4

Step-by-step explanation:

Write 0.0065 in standard form.

Answers

Answer:

It is just 65.

Step-by-step explanation:

It is 6.417.5 km from Indianapolis to London, England. The Flash can make this trip in 1
hour and 35 minutes. How fast is this in miles per hour?

Answers

Answer:

[tex]Speed = 2519.58 mph[/tex]

Step-by-step explanation:

Given

[tex]Distance = 6417.5km[/tex]

[tex]Time = 1\ hr: 35\ mins[/tex]

Required

Calculate the speed in miles per hour

Convert distance to miles

[tex]Distance = 6417.5km[/tex]

[tex]Distance = \frac{6417.5km}{1.609}\ miles[/tex]

[tex]Distance = 3988.50217526\ miles[/tex]

[tex]Time = 1\ hr: 35\ mins[/tex]

Divide minutes by 60

[tex]Time = 1\ hr + 35/60[/tex]

[tex]Time = 1\ hr + 0.583\ hr[/tex]

[tex]Time = 1.583hr[/tex]

The speed is:

[tex]Speed = Distance/Time[/tex]

[tex]Speed = 3988.50217526/1.583 mph[/tex]

[tex]Speed = 2519.58 mph[/tex]

can some one help me and solve this problems​

Answers

Answer:

2 i think i dint sleep last night sorry if im wrong

Step-by-step explanation:

A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.

Answers

C=8(0.25m). C the total cost 8 times the .25 for the mats monthly


Halla el MCM de 63 y 77

Answers

Respuesta:

693

Explicación:

Tenemos que dividir ambos dígitos hasta que lleguen a 1.

No importa si uno de los números no se puede dividir, pero se debe iniciar desde los números más bajos: 2, 3, 4, 5, 7...

Cómo no hay una mitad exacta, empezaremos con tercia y continuaremos dividiendo.

63 ; 77 | 3  

21 ; 77  | 3  

7 : 77    | 7

1  ;  11    | 11

1  ;  1

Ahora que llegamos hasta 1, el MCM es la multiplicación de los números por los que hemos dividido a los dígitos. Solo falta multiplicarlos.

3*3*7*11= 693

MCM = 693

Espero te ayude ;)

【Answer.】the lowest common multiple of 77 and 63 is 693.                                

                           [tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }[/tex]

To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]

[tex]\sf{m.c.m.(63,77)=3\times3\times7\times11}[/tex]

   [tex]\sf{m.c.m.(63,77)=3^{2} \times7\times11}[/tex]

                 [tex]\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}[/tex]

Does anyone know this?

Answers

Answer:

9.4 m/s

Step-by-step explanation:

This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:

c^2=a^2+b^2

c^2=8^2+5^2

c^2=64+25

c^2=89

c=sqrt89

c=9.4 m/s

3 classmates share 2 granola bars equally.

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

the answer would be 3/2 because the number of classmates divided by the number of granola bars equals how much each classmate would get in all.

1. Write an ordered pair to represent point G.

Answers

Answer:

n ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Step-by-step explanation:

Answer:

Ya'll should stop forgetting about the pics

Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the following explains about how much farther Tim rode his bike this year than last year? A. About 200 times farther; Subtract last year's distance from this year's distance to get 208 3/8.
Then round to the nearest hundred to get 200.

B. About 50 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 50 to see that 259 is close to 50 × 5.

C. About 10 times farther; 258 is about 5 times 50, and 34 is 2 times 38, so multiply 5 × 2 to get 10.

D. About 5 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 5 to see that 259 is close to 50 × 5.

Answers

Answer:

D

Step-by-step explanation:

Order these fractions from least to greatest.
3/8, 2/8 , 4/8

Answers

The answer is :
2/8 < 3/8 < 4/8

what is the value of x in the solution set of -5x-15>10+20x

Answers

Answer:

The answer is x < -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hoped this helped!

brainly, please?

Answer:

–1 is the answer

Step-by-step explanation:

The weight of any cat in the local animal shelter is no more than 16 pounds. Let w be the weight in pounds of a cat in the shelter. Write inequality that means weight of no more than pounds .

Answers

Answer:

16 >_ w ( a line under >)

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The inequality that means the weight of a cat is no more than 16 pounds is 16>w.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that the weight of any cat in the local animal shelter is no more than 16 pounds. Now, w be the weight in pounds of a cat in the shelter. Therefore, the inequality that means the weight of a cat is no more than 16 pounds is 16>w.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ2

10
12
15
18
Are my choices​

Answers

Answer:

y=10 x=30

Step-by-step explanation:

3x=90

x=30

2(30)+3y=90

60+3y=90

3y=30

y=10

Answer:

y= 10

Step-by-step explanation:

we have to find x first

∠ABD= 90° because its a right angle

3x°=90°

divide by on both sides

x= 30°

∠CBD must equal 90° degrees as well because a line is 180°

60+3y= 90

-60

3y=30

/3

y= 10

Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:

type < = to means
or > = to mean .

A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.

Answers

no idea if this is what you're looking for but if it is then here's the answer:

Part 1) The mean is 151

Part 2) The mean absolute deviation  is 9.1

Step-by-step explanation:

step 1

Find the mean

Sum all the values and divide by the number of values

step 2

Determine the  absolute value of subtract the mean from each value

step 3

Find the mean of those distances

----> this number is called the mean absolute deviation (MAD)V

Answer: its 100-e=42

Step-by-step explanation: i just answered it

The average mass of an adult human is about 65 kilograms while the average mass of an ant is approximately 4×10−3 grams. The total human population in the world is approximately 6.84 billion, and it is estimated there are currently about 10,000 trillion ants alive. Based on these values, about how many times greater is the total mass of living humans compared to the total mass of all living ants? Round to the nearest whole.

Answers

Find total mass:

Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg

Ants: 4x10^-3 = 0.004g

0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g

Divide total grams by 1000 to get kegs:

40,000,000,000,000 /1000 = 40,000,000,000 kgs.

Divide total mass of humans by total mass of ants:

444,600,000,000 / 40,000,000,000 = 11.115

Mass of humans is 11.115 times more than ants.

Rounded to the nearest whole number = 11 times more.

A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x

Answers

Answer: A. ÿ=3.79-0.10x

Step-by-step explanation:I’m a genius

circumference of a circle is 110cm.If the diameter of this circle is used to make one side of a square, what is the perimeter of the square?​

Answers

Answer:

120

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

if the circumference is 110, the diameter is ~35, and 35*4=140

can someone please help me with this problem? real answers only!​

Answers

Answer:

sir plese tell the full question

Answer:

y = 5 + 3x

3x = y - 5

x = y - 5 / 3

Step-by-step explanation:

y = 5 + 3x

3x = y - 5

x = y - 5 / 3

I need help with this

look at picture

Complementary angles

Answers

Answer:  x = 5

============================================================

Explanation:

The square marker indicates a 90 degree, or right angle.

The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.

Add up the smaller angles, set the sum equal to 90, and solve for x.

3x+75 = 90

3x+75-75 = 90-75 ....... subtracting 75 from both sides

3x = 15

3x/3 = 15/3 ..... divide both sides by 3

x = 5

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

If x = 5, then 3x = 3*5 = 15

Then we can see that 15+75 = 90 to help check our answer.

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