Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (1 -3) school (-1, 2) library (3, 2)

Answers

Answer 1

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km


Related Questions

What is a complete circle in radians?

Answers

Answer:

The radian is a unit of measure for angles used mainly in trigonometry. ... Whereas a full circle is 360 degrees, a full circle is just over 6 radians. A full circle has 2π radians (Roughly 6.28) As seen in the figure above, a radian is defined by an arc of a circle.

find x
please solve this​

Answers

Answer:

120°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.

Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

[tex] \therefore x = m\angle ADC\\\\

\therefore x = 120\degree [/tex]

solve 1) y"+y'+y=x²;​

Answers

Answer:

i will get a wrong aswer

Step-by-step explanation:

sorry

An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

Which of the following statements is NOT true

Answers

The last answer is NOT true

Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?

Answers

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many ​

Answers

Time of the 20 to the x then get 420

help plz its do in 10 min

Answers

Answer:

No offence

Step-by-step explanation:

but have you tried looking it up?

CAN SOMEONE PLEASE HELP ME?

PLEASE. There are four questions that I just need help with :(

Answers

Should’ve added more points fam

Some equations have the form y=kx, where k is a number.

Which equation CANNOT be written in the form y=kx?

y=x

y=x+3

y/2=x

y= ‐1/10x

Answers

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Factorize:
x^4 - 6x^2 - 27​

Answers

x^4 - 6x^2 - 27

Let u = x^2

We know that x^4 = (x^2)^2.

u^2 - 6u - 27

(u - 9)(u + 3)

Now, back-substitite for u.

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

The RIGHT SIDE FACTOR is the difference of two squares.

So, x^2 - 9 becomes (x - 3)(x + 3).

(x - 3)(x + 3)^2

Done.

solve the equation
pls help

Answers

X= root square of y-49

Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10

Answers

Answer: 3

Step-by-step explanation:

-15- -45= 30

30/10=3

The answer is to this is 3

Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this

Answers

Answer:

The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.

Step-by-step explanation:

The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.

Given that,
To compare the function shown in the graph with y =7x -10.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.

Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.

learn more about function here:

brainly.com/question/21145944

#SPJ5

2.find the domain,range and function.
x,y
-4,8
-3,1
0,-5
-3,2

Domain:
Range:
Function

Answers

Step-by-step explanation:

domain ={-4,-3,0,}

range ={8}

Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.

Answers

Answer:

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

Step-by-step explanation:

Please mark me as the brainliest answer and please follow me

to find the amount of savings roshaun and keegan will have, let x represent the no. of weeks.
total savings roshaun has = $150 + $(10x)

total savings keegan has = $(25x)

Which number line correctly shows 0.8 + 0.3?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

What is the successor of 2,550

Answers

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

Simplify the expression.
4 (-y + 2) – 3y

A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8

SHOW YOUR WORK PLZSSSSSS

Answers

Answer:

B

Step-by-step explanation:

Expand to get -4y+2-3y. Combine like terms to get -7y+2.

PLEASE PLEASE PLEASE HELP!

Answers

Answer: Interval Notation:

(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:

{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(

Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)

A full strip plus another half of a strip of staples contains 315 staples

Answers

Answer:

[tex]210 staples[/tex]

Step-by-step explanation:

Lets solve this equation:

[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]

Combine terms:

[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]

[tex]x=315*\frac{2}{3}[/tex]

[tex]x=210[/tex]

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

Guys, please help! I'm reaallllyyyy desperate!

Answers

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback books and two hardback books. How much change will Travis receive from a $20 bill?

Answers

5x1.50 = 7.5
2x3 = 6

7.5 + 6 = 13.5
Change Travis will recieve
= 20 - 13.5
= $6.5

Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50

Total cost of paper back books :

($1.50 × 5) = $7.50

Total cost of hardcover books :

($3 × 2) = $6

Total cost = $7.50 + $6.00 = $13.50

Change = $20 - $13.50 = $6.50

Therefore, Travis will get a change of $6.50

Learn more : https://brainly.com/question/18106342

insert three arithmetic means between 7 and 15​

Answers

Answer:

9, 11 , 13

Step-by-step explanation:

Find the average of 7 and 15, that is

[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11

We now have 7, 11, 15

Now find the average of 7 and 11, 11 and 15

[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 arithmetic means between 7 and 15 are

9, 11, 13

(2,5),( 3, 6) Rate of change and slope

Answers

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?

Answers

Answer:

The perimeter of triangle XYZ is 54 cm

Step-by-step explanation:

In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2

Δ ABC is similar to Δ XYZ

∵ The longest side in Δ XYZ is 25.2 cm

→ That means its corresponding side in Δ ABC is the longest side

∵ AB = 18 cm, BC = 30 cm, CA = 42 cm

∴ The longest side in Δ ABC is CA

∴ CA is the corresponding side of the side of length 25.2 cm

The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 18 + 30 + 42

∴ The perimeter of Δ ABC = 90 cm

→ Use the 2nd fact above

∵ P of Δ XYZ = r × P of Δ ABC

r = 0.6 and P of Δ ABC = 90

∴ The perimeter of Δ XYZ = 0.6 × 90

The perimeter of Δ XYZ = 54 cm

Please Help me. Thanks​

Answers

y = 3/2x + 3

I hope this helps!

Can someone please explain how I am supposed to do this I do not understand at all whatsoever.

Answers

Answer:

B. (6,-3)

Step-by-step explanation:

3x - 5y ≥ 10

(1,4) IS NOT a solution to the equation

3(1) - 5(4) ≥ 10

3 - 20 ≥ 10

- 17 ≥ 10

3x - 5y ≥ 10

(6,-3) IS a solution to the equation

3(6) - 5(-3) ≥ 10

18 + 15 ≥ 10

33 ≥ 10

3x - 5y ≥ 10

(-5,-2) IS NOT a solution

3(-5) - 5(-2) ≥ 10

-15 + 10 ≥ 10

-5 ≥ 10

3x - 5y ≥ 10

(2,0) IS NOT solution

3x - 5y ≥ 10

3(2) - 5(0) ≥ 10

6 - 0 ≥ 10

6 ≥ 10

Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

Hh

Step-by-step explanation:

PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?

I WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

[tex]0.25x+0.1(27-x)=5.55[/tex]

So, we will determine the value of x, the amount of quarters there are.  

First, let’s multiply everything by 100 to remove the decimals. So:

[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]

Distribute:

[tex]25x+10(27-x)=555[/tex]

Distribute:

[tex]25x+270-10x=555[/tex]

Combine like terms:

[tex]15x+270=555[/tex]

Subtract 270 from both sides:

[tex]15x=285[/tex]

Divide both sides by 15:

[tex]x=19[/tex]

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

9514 1404 393

Answer:

19 quarters8 dimes

Step-by-step explanation:

When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.

Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.

The total value (in cents) is ...

  25q +10(27 -q) = 555

  15q +270 = 555 . . . . . . . collect terms

  15q = 285 . . . . . . . . . subtract 270

  q = 19 . . . . . . . . divide by 15

  27 -19 = 8 . . . . . the number of dimes

There are 19 quarters and 8 dimes.

_____

Check

19 quarters have a value of 19×$0.25 = $4.75

8 dimes have a value of 8×$0.10 = $0.80

Then the total value of the 27 coins is $4.75 +0.80 = $5.55

_____

Additional comment

This is equivalent to working the problem by substitution where you write two equations ...

d + q = 2710d +25q = 555

Then solve for d and substitute, leaving the variable q.

  d = 27 -q

  10(27-q) +25q = 555 . . . . the equation we wrote above

Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.

You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.

Other Questions
HELPP ME EMERGENCY Six eggs weigh 240 grams. What is the constant of proportionality ofgrams per egg? Plz help I have no clue what the answer is A machine gun with a mass of 5kg fires a 50g bullet at a speed of 100m/s calculate the recoil speed of the machine gun Andy runs 43.68 meters in 6.825 seconds. If Andy runs at a constant speed, how far does he run in one second? what do you think is the function of political parties in the philippines answer this question for me Describe how the Diaphragm affects Breathing in and Out. How will the solution of the system y > 2x + Two-thirds and y 2x + One-third? The atomic of nitrogen is 7. The number of electrons a neutral atom has is_, and its atomic mass is approximately_amu. Please halp me, I promise ill mark as branliest (if your answer is right ofc) Read the following scenario:Two graphic design artists are leaving a major production studio to start a small production company. The artists are in the process of hiring team members when the artists disagree on two potential candidates for one position. Neither artist is willing to compromise, and the hiring process comes to a standstill. Meanwhile, a feature film company has expressed interest in hiring the new production company to work on an upcoming film.How would this problem most likely be resolved?The partners would dissolve their business and move into freelancing.The partners would split up and open competing production companies.The partners would meet and reevaluate their staff needs, potentially making room for both candidates.The partners would defer the hiring of the position to the film producer. 2. Count by 5 to complete thepattern.130, 35, 404,Pls helpppp Choose the best personal connection you could make to the passage you just read.I know how to take tests, so I like to hear about how other countries scored.I am a student, so I care about the scores of students in other countries.I am a student, so the decision to make the school year longer would affect me.I know that students in other countries have to go to school. What was the result of Muslim doctors keeping records?They developed tessellation.They improved the astrolabe.They understood diseases better.They translated works into other languages. What is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3? Can someone help me with 5-6 Explain the steps you take to complete an Internet search.Which search engine do you prefer? Why?What are the advantages and disadvantages of using a search engine versus a metasearch engine?Discuss how you determine if a source is credible based on the author/author credentials, date of publication, domain, bias, and works cited/links available. What does this reveal when the character says that the other character is a freak like her, what does the reveal about how she feels about herself? The art teacher is going to have studentspaint a mural on the wall of the school.The building is 632.5 feet long, and thereare 73 students. Part of the wall can't bepainted because it has doors in it; thispart of the wall is 12 feet long. How wideis the area that each student will have topaint? I need help with this! In a business combination when each combining firm remains a legally incorporated separate entity:____.a. the acquiring firm does not physically record the acquired firm's separate assets and liabilities. b. the parent records on its accounting records each of the acquired assets and liabilities assumed in the business combination.c. the parent company employs consolidated worksheet entries to help prepare a set of consolidated financial statements. d. the parent records an investment account at the subsidiary's net book value of the assets acquired and liabilities assumed.