Find the distance between A (-2, 4) and B (-6, -7). Leave your answer in exact (radical) form

Answers

Answer 1

Answer:

The answer is

[tex]\sqrt{137} \: \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (-2, 4) and B (-6, -7).

The distance between them is

[tex]d = \sqrt{ ({ - 2 + 6})^{2} + ({4 + 7})^{2} } \\ = \sqrt{ {4}^{2} + {11}^{2} } \\ = \sqrt{16 + 121} \\ = \sqrt{137} \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{137} \: \: \: \: units[/tex]

Hope this helps you


Related Questions

Mark is trying to raise money for his school. His goal is to raise $400. His mom gave him $30, and he sells candy bars for $1.75 a piece to raise the money. he sells on average about 45 candy bars a day. How many candy bars will mark have to sell and about how many days will it take to reach his goal?

Answers

Answer: It will take 5 days to reach his goal

Step-by-step explanation:

How I got 5 days was if you do

1.75 x 45 = 78.75

SO you add 30.oo his mom gave his and 78.75

keep add 78.75 intill

you may go over bugget.

I went over my work on a caculator

and I got 423.75

Let me know if you get something different or I did something wrong.

Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2


59


51


3

Answers

Answer:

b

Step-by-step explanation:

Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3

2

59

51

3

what is an axiomatic system

Answers

Answer:

n mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

answer from wikipedia

hope this helped (:

Answer:

an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

Step-by-step explanation:

Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.

Answers

Answer:

B. The product of two irrational numbers can be rational or irrational.

Step-by-step explanation:

An irrational number is a number that is real and it cannot be written or expressed as a fraction.

For example , 2√3, √5 are irrational numbers.

A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers

In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product

a) √2•√2 = √2 × √2 = √4 = 2 = rational number

b) √5•√7 = √5 × √7 = √35 = Irrational number

c) √2•18 = √2 × 18 = 18√2 = Irrational number

d) √2•√6 = √2 × √6 = √12 = Irrational number.

My conclusion from the above results is option B, which states that

B. The product of two irrational numbers can be rational or irrational.

Use the drawing tools to form the correct answer on the graph.
Plot a line for the axis of symmetry of this quadratic function. Also mark the x-intercept(s), y-intercept, and vertex of the function.
f(x) = 3(x + 3)(x + 1)

Answers

Your answer is (-2,-3)

Answer:

Step-by-step explanation:

A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes.The coordinates after both reflections are x’( ), Y’( ), and Z’( )

Answers

Answer:

x'(-3,-2), y' (-5,1), z'(2,-3)      (this one was difficult to answer because pictures help me answer something like this easier not sure if it is 100% correct if not im sorry)

Step-by-step explanation:

Melissa has a bag that contains 6 red marbles , 8 yellow marbles, and 18 blue marbles. If she choose one marble from the bag , what is the probability that the marble is not blue

Answers

Answer:

7/16

Step-by-step explanation:

There are a total of 32 marbles.  Of these marbles, 14 are not blue.  So the probability is 14/32, or 7/16.

If a = 2, b = -3 and c = -4, evaluate |a - 5| - 1

Answers

Answer:

2

Step-by-step explanation:

the absolute value of a-5 is 3, 3-1 is 2

Answer:

2

Step-by-step explanation:

1) I a - 5 I = 3 because -2 - 5 equals -3, but the absolute value of -3 is 3.

2) 3 - 1 = 2

Hope this helps!

Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would
it take to travel 297 miles?

Answers

The answer is 594 miles

Answer:

11 hours

Step-by-step explanation:

on delta math

I forgot how to set up 9x+3<21​

Answers

Answer:

Easy as pie:9x+3<21=11x<21.

This means 11x<21. Eleven x is less than 21.

Which is true.

Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he has determined that the average age of a Brooklyn College student is 20 years and 6 months. He has further determined that the range of ages of the students on campus follows a normal distribution with a standard deviation of 2 years. What is the probability of a randomly chosen student being exactly 21 years old

Answers

Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

Step(i):-

Given Population  size n = 500

Mean of the Population = 20 years and 6 months

                                       = [tex]20 + \frac{6}{12} = 20 +0.5 = 20.5 years[/tex]

Standard deviation of the Population = 2 years

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let   x =21

            [tex]Z = \frac{x-mean}{S.D}[/tex]

            [tex]Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2[/tex]

The probability of a randomly chosen student being exactly 21 years old.

P( Z≤21) =  0.5 + A( 0.2)

            = 0.5 +0.793

           =  1.293

           

PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 m/h. What is this speed in km/h and km/min?

1 mile = 1.61 kilometers

1 hour = 60 minutes

Round your answers to the nearest tenth. The speed is equivalent to
( ) km/h,

or ( ) km/min

Answers

Answer:

160 kilometers per hour

9560 kilometers per minute

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

What is the absolute value of -2 2/3 as a mixed number in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

1) First, find the absolute value of -2 2/3. The absolute value is 2 2/3.

2) Next, convert 2 2/3 to an improper fraction because we want to find the simplest form. The improper fraction is 8/3.

3) Finally, 8/3 cannot be reduced any further, so the answer is 2 2/3.

Hope this helps!

The absolute value is denoted by |x|.

Any negative value put in absolute becomes positive.

The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]-2\frac{2}{3}[/tex]

We have to write its absolute value.

The absolute value is denoted by |x|.

Any negative value put in absolute becomes positive.

Example:

|-1| = 1

|1| = 1

|-2| = 2

Now,

| [tex]-2\frac{2}{3}[/tex] | = [tex]2\frac{2}{3}[/tex]

This is in its simplest form.

Thus,

The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].

Learn more about expressions here:

https://brainly.com/question/3118662

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A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese was on each slice?

Answers

2.1 ounces were on each slice
2.1 ounces of cheese on each slice

Explanation:
8.4 / 4 = 2.1

2 MATH QUESTIONS 20 POINTS

Answers

Answer:

C would be on the inverse of the function

in geometry I need to know and find the x-Find the value of x

Answers

Answer:

x = 22

Step-by-step explanation:

Degree of measure of a line: 180°

Step 1: Set up equation

5x + 6 + 3x - 2 = 180

Step 2: Solve for x

8x + 6 - 2 = 180

8x + 4 = 180

8x = 176

x = 22

22 - [1/2 • (5 x 4) + 4]​

Answers

8 because you do the multiplication which is 20 and multiply 20 by 1/2 which is 10 then add 4 which is 14. then 22-14 is 8.

Pls do this quickly
Thank you

Answers

Answer:

288 cu in

Step-by-step explanation:

The Two end pieces

l = 6

w = 4

h = 4

V = l*w*h

V = 6*4*4

V = 96

But there are two end pieces. So the volume for both is 2 * 96 = 192

Middle Piece

L = 8

w = 4

h = 3

Volume = l * w * h

Volume = 8 * 4 * 3

Volume = 96

Total Volume

Total Volume = 96 + 192

Total Volume = 288 Cu in

Will give brainliest answer

Answers

Answer: (-3 , 6)

dhtyjmkuhluyjtefey

One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. Let P represent the number of female insects in a population and S the number of sterile males introduced each generation. Let r be the per capita rate of production of females by females, provided their chosen mate is not sterile. Then the female population is related to time t by

Answers

Answer:

P + S / P [(r - 1) P - S] dP

Step-by-step explanation:

If r = 0.10 and S = 900 then,

P + 900 /  P [(0.10 - 1) P - 900] dP

Solving the equation we get,

P + 900 = (B - 0.9A)P - 900A

If A = -1,

B = 0.10

t = 0 and P = 10,000

ln 10000 - 1 /9 ln (0.9 * 10000 + 900) + C

C = 10.2326.

if you earn 1425 dollars by working 5 days a week and get a bonus of 200 how much money do i earn a day

Answers

Answer:

You will earn $285 a day but with the bonus you will earn $485.

Step-by-step explanation:

Do you need an explanation?

Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.

Answers

Answer:

1/16

Step-by-step explanation:

(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/16

The first step in setting financial goals is

Answers

Answer:

step #1: Set Realistic and Achievable Goals

Step-by-step explanation:

Answer:

See what matters to you.

Step-by-step explanation:

You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.

HOPE IT HELPED

leah runs 1/2 a mile in 15 minutes how far do leah run in one hour?

Answers

Answer:

she runs 2 miles

Step-by-step explanation:

basic math

help me out with this ​

Answers

Answer:

Age   Frequency

20-29 Answer: 1

30-39 Answer: 6

40-49 Answer: 8

50-59 Answer: 5

60-69 Answer: 6

70-79 Answer: 3

80-89 Answer: 1

Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3

Answers

Answer:

Go to symbolab.com, online calculator, so good trust me

Step-by-step explanation:

The average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

What is average rate of change of function?

"It is a measure of how much the function changed per unit, on average, over that interval."

What is the formula average rate of change of function?

The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

For given question,

We have been given a function [tex]g ( x ) = 5 x^3 + 4[/tex]

We need to find the average rate of change of function g(x) from x = − 1 to x = 3

Here, a = -1 and b = 3

[tex]g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1[/tex]

and the value of g(b) is,

[tex]g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139[/tex]

Using the formula of average rate of change of function,

[tex]\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35[/tex]

Therefore, the average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

Learn more about average rate of change of function here:

https://brainly.com/question/23715190

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Tyler wants to use $300 he has saved to buy a new guitar and join a music club. The guitar costs $140. The music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. Tyler can afford the music club membership for____ months, after which he will have_____ left.​

Answers

Answer:

11 months ; $3.55

Step-by-step explanation:

Amount saved = $300

Cost of guitar = $140

Membership fee = $25

Monthly fee = $11.95

For how manyonths can Tyler afford the membership :

The one time fee = (membership fee + cost of guitar)

= $140 + $25 = $165

Amount left = $300 - $165

Amount left = $135

Number of monthly fee the balance can afford :

Amount left / monthly fee

= $135 / $11.95

= 11.29

Hence, the number of months he can pay for is 11 months

Amount left = $135 - ($11.95 * 11 months)

$135 - $131.45

= $3.55

Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
book?

Answers

Answer:

25 Minutes

Step-by-step explanation:

Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!

If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book

Time taken to read 3/5 of the book = 1/4 hours

To get the time taken to read 1 book, we will divide 1/4 hours by 3/5

Time taken to read 1 book = [tex]\frac{1}{4}\div \frac{3}{5}[/tex]

The division sign changes to multiplication  and 3/5 is changed to its reciprocal (5/3)

Time taken to read 1 book = [tex]\frac{1}{4}\times\frac{5}{3}[/tex]

Time taken to read 1 book = [tex]\frac{5}{12}[/tex]

If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book

Learn more here: https://brainly.com/question/17478879

/5/= can someone please explain this?

Answers

Answer: / = divided by

Step-by-step explanation:

If anyone can understand this can somebody help me please?

Answers

Answer:

I am so sorry i am confused.

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