Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?

Answers

Answer 1

Answer:

25

Step-by-step explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office


Related Questions

Write the equation of the line that passes through the given points. (0,-5) and (8,0)​

Answers

Answer:

[tex]y=\frac{5}{8}x-5[/tex]

Step-by-step explanation:

You're given two points, using that you can use the slope-finding formula:

[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]

After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:

[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]

5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.

[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]

You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!

Hope that helped!

-Bob Ross

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!

Answers

Answer:

33.5

Step-by-step explanation:

40 % of 33.5 is 13.4

33.5/x  = 40/100

13.4

Answer:

33.5

Step-by-step explanation:

Solve the following system of equations algebraically:

y = 4x^2 + 17x + 14
y = 2x + 5​

Answers

Answer:

When x = -3  y = -1

When x = -3/4  y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5​

Set each equation equal to each other

4x^2 + 17x + 14  = 2x + 5​

Subtract 2x from each side

4x^2 + 17x-2x + 14  = 2x-2x + 5​

4x^2 + 15x + 14  =  5​

Subtract 5 from each side

4x^2 + 15x + 14-5  =  5​-5

4x^2 + 15x +9  = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0    x+3 =0

4x = -3      x=-3

x = -3/4     x=-3

Now we need to find y for each x

x =-3   y = 2x+5  =2(-3)+5 = -6+5 = -1  

When x = -3  y = -1

x = -3/4   y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4  y = 7/2

hey can someone help cus ive been asking this same question for an hour and everyone who responded didnt give a real answer-

Answers

Answer:  C) 9 feet

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

Work Shown:

Let's call the "height" to be the "width".

The area of a rectangle is

area = length*width

We're told the width is 8.5 feet

If the length is some unknown variable L, then

area = length*width

area = L*8.5

area = 8.5L

We want the area to be at least 76.5 square feet

This means 8.5L is either equal to 76.5, or larger than it

[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]

This shows the length can be 9 feet or larger.

In other words, the minimum length is 9 feet.

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Answers

Answer: x = 60/11

Step-by-step explanation:

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Multiply the 1/2 with -10x, and -10.

Let's look on the side that we are working on now.

New equation:

- 1 + 4 (6x + 3) = -5x - 5 - 5

-5-5= -10

-1+4(6x+3)=-10-5x

Next we remove the brackets.

-1 + 4 * 6x + 3 = -10x -5

Now we bring the x's on one side and the non-x's on the other. When we bring a positive x on the other side of an equal sign, it becomes negative. If we bring a negative x on the other side of an equal sign, it becomes positive.

10x * 6x = 1 - 4 - 3 - 5

60x = 1 - 12

60x = -11

x = 60/11

* I had to do this all on paper *

x= 60/11 and totally didnt steal this answer lol

Please help me with this question

Answers

Answer:

3n + 3

Step-by-step explanation:

Mia is correct

When n= 1 ,  3n + 3 = 3*1 + 3 = 3 + 3 = 6

When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9

When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12

When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15

use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

A.380160 B. 240

Step-by-step explanation:

1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.

Which rational number equals 0 point 2 with bar over 2? (1 point)

Group of answer choices

1 over 10

2 over 10

2 over 9

1 over 9

Answers

Answer:

1 over 10

Step-by-step explanation:

I guessed

1 out 10 because you can divide both side by the number

Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?

A. Flipping a coin and getting heads for door A or tails for door C.

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.

D. Go to the game show and collect data for a month on which doors people chose.

Answers

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Step-by-step explanation:

Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6

and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3

Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;

P[tex]_{door}[/tex](door A) = 1/3

P[tex]_{door}[/tex](door B) = 1/3

P[tex]_{door}[/tex](door C) = 1/3

Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.

Answer:

Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

Step-by-step explanation:

They have to be evenly probable so its B

edge 2020

Help!! For algebra 2

Answers

It looks like because on the second one the equation equals 0 that the variable “x” is going to have a different value.

Answer:

the first is an expression with a variable x, it describes a parabola,  while the second is an equation involving a variable x and x can only have specific values that satisfy the equation.

Step-by-step explanation:

3x + 9 = 2x + 5
One Solution
No Solution
All real numbers

Answers

One solution (x= -4)
The answer is One solution x=-4

The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?

Answers

The answer is 2826 I hope this helps you

Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7

Answers

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

Parallel lines have the same slope as the original but different y-intercepts.

m = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

Please help me this is due tomorrow and I just need this. ALSO WHEN YOU ANSWER SHOW ME YOUR STEPS FOR BRAINLEST THANKS!

Answers

Answer:

x=3

Step-by-step explanation:

1/4(12x + 4) - 14= -1/2(8x - 16)

1. Simplify each side my multiplying

3x - 13 = -4x + 8

2. Add 13 on each side

3x = -4x + 21

3. Add 4x  on each side

7x = 21

x=3

find the answer of x+3=9

Answers

Answer:

6 is answer

Step-by-step explanation:

x+3=9

or, x=9-3(because we have to change sign)

therefore, x=6ans//

Answer:

= x+3=9

= x=9_3=6

= x=6

Step-by-step explanation:

ANSWER

VALUE OF X =6

у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)

Answers

Answer:

whats that.............

Help me solve this problem please

Answers

Answer:

Step-by-step explanation:

d

Drag the words into the boxes to correctly complete the sentence.



In the problem 3.8÷0.7, the number 3.8 is the________ and the number 0.7 is the_____


The words at he bottom is


sum, difference, equivalant, divisior, dividend, remainder

Answers

Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!

For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1

Answers

Answer:

1. yes

2. no

3. yes

4. yes

5. yes

Step-by-step explanation:

All triangles have 3 angle measurements that add up to 180

I did these all mentally so do double check :)

A dozen of roses cost $64.44. How much did each rose cost?

Answers

Answer:

5.37

Step-by-step explanation:

if 12 roses cost 64.44 and the price of one is x then

12x=64.44

x=64.44/12

x=5.37

If f(x) = 3x – 7 and g(x) = -x, what is
the value of f(g(2))?

Answers

Answer:

C. -19

Step-by-step explanation:

take 2 plug it into g(x)=-x^2 that gives you -4 take that number and plug it into f(x)=3x-7 that gives you -19

Answer:

C) -19

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 7

g(x) = -x²

Step 2: Find g(2)

g(2) = -(2)²

g(2) = -4

Step 3: Find f(g(2)) or f(-4)

f(-2) = 3(-4) - 7

f(-2) = -12 - 7

f(-2) = -19

convert 300 seconds to minutes there are 60 seconds in 1 minute​

Answers

Answer:

5 Minutes

Step-by-step explanation:

If you divide 300 by 60 you get 5.

Answer: 5 MINUTES

Step-by-step explanation:


What is the slope of the following table?

Answers

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Hi guys what is 6 divided by 2(1+2 )

Answers

Answer:

0

Step-by-step explanation:

1+2 = 3

3x2 = 6

6divdedby6= 0

(HELPPP) The graph models the proportional relationship between the cost of a salad per pound determine the unit rate of the graph
A) $2/lb
B) $4/lb
C) $1/lb
D) $0.50/lb

Answers

A because every 0.5 pound is 2 bucks. Brainless?

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Zn + 2HCI ZnCI2 + h2

Based on the reaction shown above, which statement best supports the law of conservation of mass?
There are more chlorine atoms in the reactant.

There are more hydrogen atoms in the product

The number of chlorine atoms is unequal in the reactants and products
.
The number of reactant atoms is equal to the number of product atoms.

Answers

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

original cost 14.50 markup:14%

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the bay. The number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Which value represents the slope and what does it mean in the context of the scenario?

Answers

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

It will make my life if you help me with this forealzez

Answers

Answer:116

Step-by-step explanation:

By definition, a rhombus will have equal opposite angles.

Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.

Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64

Now that we have found out c is 64, we plug it into the angle 2c-12 to get

2*64-12=116.

So again by definition, angle J will be 116 degrees since its an opposite angle.

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