Find the distance between (1, 0) and (9, 15).

Find The Distance Between (1, 0) And (9, 15).

Answers

Answer 1

Answer:

[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]

Step-by-step explanation:

Given the points

(1, 0)(9, 15)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(9-1\right)^2+\left(15-0\right)^2}[/tex]

[tex]=\sqrt{8^2+\left(15-0\right)^2}[/tex]

[tex]=\sqrt{8^2+15^2}[/tex]

[tex]=\sqrt{64+225}[/tex]

[tex]=\sqrt{289}[/tex]

[tex]=\sqrt{17^2}[/tex]

[tex]=17[/tex]                   ∵  [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

Therefore,

[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]


Related Questions

Find the 74 thterm of -19, -14, -9, -4, ..

Answers

-0.9 -0.4. Make sense at all???

Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...

Answers

answer:

Both sequences are geometric

Step-by-step explanation:

because both have common differences of 2 times

Answer:

4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Step-by-step explanation:

Given the first sequence

18, 36, 54, 72,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]

As the ratio is not constant.

Hence, 18, 36, 54, 72,... is NOT the geometric sequence.

Given the second sequence

4.1, 8.2, 16.4, 32.8,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]

As the ratio of all the adjacent terms is the same (constant ratio).

Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3 ​

Answers

Answer:

√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3 ​

Step-by-step explanation:

√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3 ​

Idk wby it sets it up so weird in word form so imma just put this here

Answers

Answer:

141/2, 279/4

Step-by-step explanation:

Answer: wow ur right like ummm

Step-by-step explanation: wby lol

CAN SOMEONE HELP ME ! Please and thank you.
A car dealership likes to have 4 blue cars on the lot for every 3 white cars. At this rate, how many white cars will be on the lot when there are 16 blue cars?

Answers

Answer:

12 white cars

Step-by-step explanation:

Our ratio is 4:3

16:?

We can determine white cars by dividing 16/4 to find how many more cars we have than our original ratio.

16/4 = 4

3 x 4 = 12

16:12 = 4:3

Answer:

Step-by-step explanation:

15

Graph the line.
y=-2x-3

please please hurry! 15 points

Answers

Answer:

you want to put your first pint at negative 3 on the Y axis. and then you want to go down 2 and right 1 to crest your slope.

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.

Answers

Answer:

an = an – 1 + 14; a1 = 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

pizza represent p

$14=1p

$9=9*1/4=9/4

2²ˣ = 6ˣ⁻³
How would I convert this to logarithmic form, then solve in log M / log N format?

Answers

6 = 2 • 3, so

6ˣ⁻³ = 2ˣ⁻³ • 3ˣ⁻³

Then in

2²ˣ = 6ˣ⁻³

we would have

2²ˣ = 2ˣ⁻³ • 3ˣ⁻³

2²ˣ / 2ˣ⁻³ = 3ˣ⁻³

2²ˣ⁻ˣ⁺³ = 3ˣ⁻³

2ˣ⁺³ = 3ˣ⁻³

Now take the logarithm of both sides. The base you choose doesn't matter.

log(2ˣ⁺³) = log(3ˣ⁻³)

Recall that log(aⁿ) = n log(a), so that the equation reduces to

(x + 3) log(2) = (x - 3) log(3)

Solve for x :

log(2) x + 3 log(2) = log(3) x - 3 log(3)

(log(2) - log(3)) x = - 3 log(2) - 3 log(3)

Recall that log(a) - log(b) = log(a/b), and log(a) + log(b) = log(ab), so that

log(2) - log(3) = log(2/3)

- 3 log(2) - 3 log(3) = - 3 (log(2) + log(3)) = - 3 log(6)

So, we get

log(2/3) x = - 3 log(6)

x = -3 log(6) / log(2/3)

As I mentioned, the base of the logarithm doesn't matter, x will always have the same value of about 13.257.

A nutritionist wants to study the effects of storage time
(6, 12, & 18 months) on the amount of vitamin C present
in freeze dried fruit. Vitamin C is measured in milligrams
per 100 milligrams of fruit. Six fruit packs were randomly
assigned to each of the three storage times.
The treatment is ?

Answers

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean,    =269.8/10=26.98

Sample Variance,     =1859.496/9=206.610667

Sample std dev,s==√206.610667≈14.373958

We want to test two tailed hypothesis:

: σ=12

: σ≠12

Given: s=14.373958⇒  =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by   with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, =3.325  and =16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject    if ≤3.325  OR ≥16.919

Test statistic is given by  =((9)*206.610667)/144=12.913167    

Test statistic, =12.913

since test statistic is between two critical values, we (do not reject ) (i.e, we fail to reject .

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject  if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject ) (i.e, we fail to reject ).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

The NBA regulations require the basketball court to be 132 feet long how many meters is the length of the court

Answers

Answer:

40.2336 meters

Step-by-step explanation:

Answer:

40.2336 meters

Step-by-step explanation:

Sonia bought $25 concert tickets online, and paid a total of $269. To purchase the tickets there was a service fee of $17. How many tickets did she buy? Make sure to write an equation!

Answers

Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee

Step-by-step explanation:

Which expression is equivalent to 350−−√⋅22−−√?




1522−−√

1511−−√

3022−−√

3011−−√

Answers

Answer:

it looks like d to me

Step-by-step explanation:

Answer:

The answer is D. [tex]30\sqrt{11}[/tex]

good luck!

Help with Geometry ,please

Answers

Answer:look at the angle bro and you got the angle just look at it good enough

Step-by-step explanation:

f(t) = t² – 2t; Find f(-7)

Answers

Answer:

f(-7) = 63

General Formulas and Concepts:

Order of Operations: BPEMDAS

Substituting and Evaluating

Step-by-step explanation:

Step 1: Define

f(t) = t² - 2t

f(-7) is t = -7

Step 2: Solve

Substitute:                         f(-7) = (-7)² - 2(-7)Exponents:                        f(-7) = 49 - 2(-7)Multiply:                             f(-7) = 49 + 14Add:                                   f(-7) = 63

How do I graph this?

Answers

Answer:

So, in order to solve this, you need to know slope. Slope is equal to rise (up/down) over run (left/right). The number at the end, which in this case is 2, is the y-intercept. So, first, graph a point on the y-axis, which is 2. Next, you can place any other point on the line, as long as it follows your slope, which is 3/5. If you need a better explanation, just graph (0, 2) on the y-axis and also graph the point (3, 5).

Have a good one,

Philip

BRAINLIEST IS ALWAYS APPRECIATED! <3

PLS IT'S DUE!!
The longer leg of a 30⁰-60⁰-90⁰ triangle is 5√3 . Find the length of the hypotenuse.

explain how you got it.

Answers

Answer:

The answer is 10

Step-by-step explanation:

The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.

lol wanna help me im gunna cry

Answers

Answer:

no thanks

Step-by-step explanation:

i don't wanna help u nerd

Answer:

potato

yes potato

what is the difference b/w matrix and vector

Answers

Answer:

Matrix is array of number while vector is a list of numbers

Answer:

a vector is a form of a matrix having one row or one column or just say a "vector" is a list of values, a "matrix" is a table (or list of lists.................

Step-by-step explanation:

WILL GIVE BRAINLYEST!!!!!!! PLEASE HELP!!!!

Find the slope of the line drawn on the graph. If your answer is a fraction, leave in simplified fraction form.

Answers

given that each unit is equal to 1 , which is assumed since they aren’t marked , the answer would be
slope = 2/5

reason — slope = rise over run , so you would move up 2 and over 5 units to get the slope of 2/5

Answer: The slope would be 2/5.

Step-by-step explanation: To find the slope, it's rise divided by run. The 2 points on this graph are (-2,-1) and (3,1). So basically,  change in y value, divided by the change in x value.

7) A different stock loses half of its value every 2 months. If the original price was $128,
how much is it worth after 14 months.

Answers

after 14 months it’s worth $1

Pick an dinner for every single day?

Answers

Answer:

The last one please.

Shalah mowed 12 lawns in 3 hours. What is her RATE? *
help me plz

Answers

Answer: I think the answer is 4 because usually when you find the rate of something it means you divided the two numbers or however many numbers you have... So, 12 divided by 3 is 4...  So, 4 hours for each lawn she mows... or something like that... So, 4 lawns per hour...

Final answer is 4 lawns per hour... If this isn't the correct answer i am very sorry... Stay safe and have a great weekend!!! :D

Answer:

4 lawns per hour

Step-by-step explanation:

4 lawns per hour or 1  lawn per 15 mins.

12/3 is the unit rate so 4/1.

Hope this helps plz hit the crown :D

Si nos situamos a 120 metros de distancia de un cohete, la vista hacia al extremo superior del mismo recorre un total de 130 metros. ¿Cuál es la altura total del cohete?

Answers

Answer:

creo que son 250

Step-by-step explanation:

What’s the answer I just need a quick answer and my teacher thinks I’m wrong

Answers

Answer:

58.5

Step-by-step explanation:

9 x 13 = 117

117 divided by 2 = 58.5

someone knows what number multiplied twice by the same can give me results 1109 helpppp! Plis

Answers

Answer: Hey! no need to fret ok so your trying to find what multiplied by itself would get 1109. Make an algebra equation and solve for x:

x • x = 1109

x ≈ 33.302

Step-by-step explanation:Hoped I helped! Have a great day and put this on brainliest please. Thank you!

Ricky draws 24 cartoon Characters
every 3 minutes. Leo draws 28 cartoon
Characters every 4 minutes. Who draws
at a faster rate?

Answers

Answer:

Ricky

Step-by-step explanation:

24 divided by 3 equals 8 drawings per minute

28 divided by 4 equals 7 drawings per minute

Answer:

Ricky

Step-by-step explanation:

One way to solve this is finding out how many characters they draw per minute. In order to find this, you must divide the amount of cartoon characters by the time. For example, 24 divided by 3 is 8 and 28 divided by 4 is 7. Ricky draws 8 per min and Leo draws 7 per min. Therefore, Ricky draws at a faster rate. Hope this helps! :)

Hello!!!!! Could someone please explain to me in a simple manner what the slope intercept form is as well as what the point slope form is? Are they the same thing? What does form mean? Thank you soooo much in advance!!!

Answers

Answer:

Step-by-step explanation:

They're both ways of expressing the equation of a line. Depending on the information you're given, it's easier to use one or the other. Like if you're given the slope and y intercept, it might be easier to use slope intercept equation. If you're given 2 points on a line, it might be easier to calculate the slope between them and then use the pointslope equation using one of the two points given to find the euqation of the line. Let me know if there's more I need to clarify

X-2
——=5
3
I am supposed to solve for x but I have no clue how

Answers

Answer:

4

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Nice set up. It's very clear.

Multiply both sides by 3

3(x-2)

===== = 5 *3

  3

Cancel the 3 on the left. Combine the right.

x - 2 = 15

Add 2

x - 2 + 2 = 15 + 2

x = 17

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

(17 - 2) / 3

15/3

5  

The right hand side is also 5

What is the solution of 9x – 8 = 34x – 12?

Answers

Answer:

Step-by-step explanation:

Let  

V

be the number of vertices of a polyhedron,  

F

the number of faces of that polyhedron, and  

E

be the number of edges. The quantity  

χ

=

V

E

+

F

is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,  

χ

=

2

.

Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,  

1

2

(

4

)

(

3

)

=

6

edges, and  

1

3

(

4

)

(

3

)

=

4

vertices. Thus we have  

V

E

+

F

=

4

6

+

4

=

2

.

Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their  

V

and  

F

values are equal to the  

F

an  

V

values of the other. (The same is true for the dodecahedron and icosahedron).

Find the slope of the line passing through the points (-5,3) and (-5,-7)

Answers

Answer:

The slope is Undefined.

Step-by-step explanation:

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