Find the distance between two points: (5,3),(8,5)​

Answers

Answer 1

Answer:

[tex] \displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}} [/tex]

OR in Decimal,

[tex] \boxed{\rm \: Distance=\underline{\underline{3.605}}}[/tex]

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

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

According to the Question,

[tex] \rightarrow \: \rm \: x_2 = 8[/tex]

[tex]\rightarrow \: \rm \: x_1 = 5[/tex]

[tex]\rightarrow \: \rm \: y_2 = 5[/tex]

[tex]\rightarrow \: \rm \: y_1 = 3[/tex]

Now Substitute the values on the formula of Distance and then Simplify:

[tex] \rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} } [/tex]

[Follow PEMDAS rule while simplifying]

[tex] \rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} } [/tex]

[tex] \rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)} [/tex]

[tex] \rm \: Distance= \sqrt{9 + 4} [/tex]

[tex] \rm \: Distance= \sqrt{13} [/tex]

[tex] \rm \: Distance= {3.605} [/tex]

Hence, the distance between the two given points would be [tex]\sqrt{13}[/tex] or [tex] 3.605 [/tex].

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

Find The Distance Between Two Points: (5,3),(8,5)

Related Questions

PLSSSS HELP FOR BRAINLIEST!!!!!!

Answers

Answer:

You are right the one u clicked is correct

Step-by-step explanation

brainiest please

What is the slope of the line represented by the equation y = - 2/3 - 5x?

-5

-2/3

2/3

5

Answers

Answer:

The slope is the bit attached to the x:

In this case, it is -5.

Step-by-step explanation:

Answer: -5

just took the quiz

pl. z help me I need help..

Answers

Answer:

8 crabs and 2 octopi

Step-by-step explanation:

Let c represent the amount of crabs and o represent the amount of octopi.

We can use this to set up a system of equations:

6c+8o=64

c=4o

We can solve this system using substitution. In this case, we can substitute 4o for c:

6(4o)+8o=64

24o+8o=64

Combine like terms

32o=64

Divide both sides by 32

o=2

Substitute 2 for o to solve for c:

c=4o=4(2)=8

There are 8 crabs and 2 octopi

What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³.

Answers

The exact volume of the considered cone is given by: Option C: [tex]\dfrac{196}{3} \pi \: \rm in^3[/tex]

How to find volume of a right circular cone?

Suppose that the radius of the base of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3}\pi r^2 h \: \rm unit^3[/tex]

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing figure of the cone is attached below.

The height of the considered cone =  4 inchesThe radius of the base of the cone = 7 inches.

Thus, the volume of the considered cone is given by:

[tex]V = \dfrac{1}{3} \times 7 ^2 \times 4 \times \pi = \dfrac{196\pi}{3} \: \rm in^3[/tex]

Thus, the exact volume of the considered cone is given by: Option C: [tex]\dfrac{196}{3} \pi \: \rm in^3[/tex]

Learn more about volume of the cone here:

https://brainly.com/question/26093363

May someone help me / giving crown / giving 15 points

Answers

Answer: 3 and 192

Step-by-step explanation:

Answer:

1 % of 300 is 3, because 1 times 300 equals 300 divided by 100 is 3.

64 times 300 equals 19200 divided by 100 is 192.

Therefore the answer of 1 % of 300 is 64 times smaller than 64 % 300. Basically, 64 % of 300 = y and y= 64 (1 % of 300)

Use a tape diagram to find 80% of 50

Answers

Answer:

80% of 50 is 40

Step-by-step explanation:

Dont know how I would show it on a tape diagram but yea

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 45 - 135.

Answers

The sum using summation notation will be - 312. The sum of the following progression is found by the formula as [tex]S_n = \frac{a(1 - r^n)}{(1 - r)}[/tex].

What is geometric progression?

Geometric Progression (G.P.) is a sort of sequence in which each successive phrase is obtained by multiplying the prior term by a set number known as a common ratio.

This progression is also known as a pattern-following geometric sequence of integers. Here you may also learn about mathematical progression.

A non-zero value is obtained by multiplying the common ratio by each phrase to obtain the next term 5 - 15 45 - 135.. is an example of a geometric series with a common ratio of -3.

The common ratio will be;

[tex]\rm r= \frac{-15}{3} \\\\ \rm r= -5[/tex]

The first term is 3

So  the sum using summation notation will be;

[tex]S_n = \frac{a(1 - r^n)}{(1 - r)} \\\\ S_n = \frac{3(1 - (-5)^4)}{(1 - (-5))} \\\\ S_n =- 312[/tex]

Hence the sum using summation notation will be - 312.

To learn more about the geometric progression refer to;

https://brainly.com/question/14320920

55 visitors purchased no costume.
147 visitors purchased exactly one costume.
3 visitors purchased more than one costume,
Based on these results, express the probability that the next person will purchase no
more than one costume as a percent to the nearest whole number.

Answers

Answer:

236 visitors purchased no costume.

202 visitors purchased exactly one costume.

40 visitors purchased more than one costume.

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

             

Thus, the probability that the next person will purchase no more than one costume .

Which graph has a maximum value at (1, 3)? *

Answers

Answer: I think option 4

Step-by-step explanation:

Sorry if this does not help

Answer:

option 3

Step-by-step explanation:

a graph with a maximum value is shaped as ∩

This indicates options 3/ 4

the coordinates of the maximum value are the coordinates of the vertex ( turning point ) of the graph

option 3 is a maximum with coordinates (1, 3 )

Is 21/2:3 and 16:6 equivalent

Answers

Answer
21/2:3 and 16:6 are not equivalent

will give u BRAINLY if you have the correct answer

Answers

Answer:

The answer is (2, -1)

Step-by-step explanation:

Plug in x and y into the equation:

y=2x-5

-1=2(2)-1

and then u get -1 = -1 which is true

please help will give brainliest.

Answers

Answer:

Part A the answer is 9cm

Part B the answer is going to be 9cm

Step-by-step explanation:

round of 38828 to the nearest 10​

Answers

Step-by-step explanation:

We're going to be evaluating if we can round 2. (Values in the 10's place)


The value in the 'ones' place has to be greater than or equal to 5
in order to round up 2.

Since 8 is greater than 5, we can round up 2.

Rounded answer:

38830

PLease help me with this question ill give you points

Answers

Answer:

[tex]x = -2, x = \frac{1}{6}[/tex]

completing square method:

[tex]\rf 6x^2 + 4x = 2 -7x[/tex]

[tex]\rf 6x^2 + 4x + 7x -2 = 0[/tex]

[tex]\rf 6x^2 + 11x -2 = 0[/tex]

[tex]\rf 6x^2 +12x - x - 2 = 0[/tex]

[tex]\rf 6x ( x + 2) -1(x + 2) = 0[/tex]

[tex]\rm (x+2)(6x-1) = 0[/tex]

[tex]x = -2, x = \frac{1}{6}[/tex]

Factorise :

[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 4x= 2 - 7x}[/tex]

[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 4x + 7x - 2 =0}[/tex]

[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 11x - 2 =0}[/tex]

[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 12x - x - 2 =0}[/tex]

[tex]\qquad \sf \: { \dashrightarrow {6x}^{} (x+ 2) -1( x + 2 )=0}[/tex]

[tex]\qquad \sf \: { \dashrightarrow ({6x}^{} - 1) (x+ 2) =0}[/tex]

[tex]\qquad \sf \: { \therefore 6x - 1=0} [/tex]

[tex] \qquad \sf \: \dashrightarrow6x =1 [/tex]

[tex]\qquad \sf \: { \dashrightarrow x= \dfrac{1}{6} }[/tex]

[tex]\qquad \sf \: { \therefore x + 2=0} [/tex]

[tex]\qquad \sf \: { \dashrightarrow x = - 2} \\ [/tex]

Therefore, whether the value of x = 1/6, x = –2

Solve for f(2). f(x) = -3x + 3 = f(2) = [?] Enter gright © 2003 - 2022 International Academy of Science. All Rights Reserved​

Answers

[tex]f(2) = - 3(2) + 3[/tex]

[tex]f(2) = - 6 + 3[/tex]

[tex]f(2) = - 3[/tex]

let F(x) = x^2 + ax + b when a and b are integers, if F(3+√5) = 0 then what is value of F(4) ?​

please help me I don't know really!!!​

Answers

Answer:

Step-by-step explanation:

Which of the following explains why f(x) = log4x does not have a y-intercept? Check all that apply.

Answers

The function f(x) = log4x does not have a y-intercept Because there is no power of 4 that is equal to 0.

What is a logarithm?

Exponentiation's inverse function is the logarithm. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The logarithm counts the number of times the same factor appears in repeated multiplication in the simplest case.

Following are the reason why f(x) = log4x does not have a y-intercept

1. There is no power of 4 that is equal to 0.

2. Its inverse does not have any x-intercepts.

3. f(x) approaches negative infinity.

Hence  f(x) = log4x does not have a y-intercept.

To learn more about the logarithm refer to the link;

https://brainly.com/question/7302008

Answer:

1.There is no power of 4 that is equal to 0.

3.Its inverse does not have any x-intercepts

Step-by-step explanation:

Casey has a loan for $400 at a rate of 13% annually. How much interest will he pay in 3 years? A) $15. 60 B) $52. 00 C) $156. 00 D) $556. 0.

Answers

Casey will pay $156.00 in 3 years, the correct option is C.

What is the rate of interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Given

Casey has a loan for $400 at a rate of 13% annually.

The interset Casey pay in three years for the loan is given by;

[tex]\rm Interest = Amount \times Rate \ of \ interest \times Time\\\\Interest = 400 \times 0.13 \times 3\\\\Interest = 156[/tex]

Hence, Casey will pay $156.00 in 3 years.

To know more about interest click the link given below.

https://brainly.com/question/26175758

Work out the length of
x
.
Give your answer rounded to 3 significant figures.

Answers

Answer:

10.8 =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8.8 ^2 + 6.2 ^2 = x^2

77.44+38.44=x^2

115.88=x^2

Take the square root of each side

10.76475731=x

Round to 3 significant figures.

10.8 =x

Answer:

10.8 =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8.8 ^2 + 6.2 ^2 = x^2

77.44+38.44=x^2

115.88=x^2

Take the square root of each side

10.76475731=x

Round to 3 significant figures.

10.8 =x

Please Help Me please !! its A Math Question !! What is the transformation from the parent function y=x^2 of the graph with the following points.

Vertex at (2, 0)
Other points on the graph are (0, 4), (1, 1), (3, 1) and (4, 4)

Question 4 options:

Vertical shift up 2 units


Vertical shift down 2 units


Horizontal shift right 2 units


Horizontal shift left 2 units

Answers

Answer:

Looks like a horizontal shift right 2 units

Step-by-step explanation:

the vertex would normally be at (0,0) so it seems it moved to the right 2 units

What is the product?

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: (3 {a}^{2} {b}^{4} )( - 8a {b}^{3} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: (3 \times - 8)( {a}^{2} \times a)(b {}^{4} \times {b}^{3} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 24( {a}^{3} )( {b}^{7} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 24 {a}^{3} {b}^{7} [/tex]

So, The Correct choice is D

Write a story context for 5/6 divided by 1/12. Use a model to solve

Answers

Answer:

Ronnie is a bakery maker (i dont know what you call those, baker?). He has 5/6 feet length of cake. He the order says to cut pieces that are 1/12 long. How many pieces did Ronnie cut?

Step-by-step explanation:

a story? in that case...

i dont know if thats good. im not that good at stories for fractions hope this helps tho!

A business purchases a theatre system for $2,500. If the value of the system decreases at a
rate of 13% per year, how much is the system worth after 2 years?
Please show how to do it, because I need to know how to do it again

Answers

Answer:

the system will be worth $1892.25 after 2 years.

Explanation:

as the value decreases: [tex]\sf A = P(1 - \frac{r}{n})^{nt}[/tex] ......notice the ' - '  as its *decreases*

given:

P = 2500n = 1 per year t = 2 yearsr = 13%

solve:

[tex]\sf A = 2500(1 - \frac{0.13}{1})^{1*2}[/tex]

[tex]\sf A = 1892.25[/tex]

another way of doing it easily is:

[ $2500 * (100- 13)% ] * (100- 13)% = $1892.25

P=2500r=13t=2

Use compound interest formula

[tex]\\ \rm\hookrightarrow P(1-r/100)^t[/tex]

[tex]\\ \rm\hookrightarrow 2500(1+0.13)^2[/tex]

[tex]\\ \rm\hookrightarrow 2500(0.87)^2[/tex]

[tex]\\ \rm\hookrightarrow 2500(0.76)[/tex]

[tex]\\ \rm\hookrightarrow 1900[/tex]

Factor completely 9x2 − 25. (3x 5)(3x − 5) (3x − 5)(3x − 5) (9x 5)(x − 5) (9x − 5)(x 5).

Answers

9x^2-25
3^2x^2-5^2
(3x)^2-5^2
(3x-5) (3x+5)

Scores on a test are normally distributed with a mean of 80 and a standard deviation of 5. If 700 students took the test, how many students scored between 80 and 90?

Answers

Answer:

47.725%

sry if its wrong

hope this helps :)

Step-by-step explanation:

Is this right? Please help me.

Answers

Yes, i believe this is right, over the months, it goes from 70 to 30, meaning it went down in total 40 feet, it was between 4 months, meaning 40/4=10.

Just do these two problems for me and I’ll be so happy

Answers

5. y = x + 7
6. y = -x + 1

Choose the definition for the function.
Could you also explain how to go through the process?
I could use all the help I could get tbh

Answers

Answer:

photo not clear sorry

Step-by-step explanation:

re-upload the question

Please help me this question will mark you the brainliest if you answer thank you !

Select all the true statements:

Answers

true, true, false, false, true

Favorite + pokemon = is_______

Answers

can you give me more information in order to answer this?
I quite don’t understand this question that you are referring to
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