1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PolarNik [594]
2 years ago
11

According to the table, what was the hiker’s total displacement?

Mathematics
1 answer:
shtirl [24]2 years ago
7 0

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

You might be interested in
H = ac + mn solve for n
notka56 [123]

Answer:

n =  \frac{h - ac}{m}

Step-by-step explanation:

h = ac + mn

mn = h - ac

n =  \frac{h - ac}{m}

6 0
8 months ago
4/35 convert to to a decimal rpund to thousandths place please help will give brainest ​
Lina20 [59]

Answer:  0.11429 (Rounded to fifth decimal place)

6 0
3 years ago
An adult giraffe was recently measured was 5 1/6 yards tall, including its neck. This giraffe,s neck was 2 1/3 yards long. What
Artemon [7]

Answer:

2 5/6

Step-by-step explanation:

you have to turn the 1/3 into 2/6 by multiplying by 2 to make it easier. then, you subtract 2 2/6 from 5 1/6 and you get 2 5/6 for the length of the body

6 0
2 years ago
PLEASE HELP WITH GRADE 11 MATH. Make sure you show the formula. Substitute values and show all mathematicall operations! show yo
Degger [83]

3x+y

x

​

 

=−3

=−y+3

​

The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:

\begin{aligned} 3\blueD{x}+y &= -3\\\\ 3(\blueD{-y+3})+y&=-3\\\\ -3y+9+y&=-3\\\\ -2y&=-12\\\\ y&=6 \end{aligned}

3x+y

3(−y+3)+y

−3y+9+y

−2y

y

​

 

=−3

=−3

=−3

=−12

=6

​

Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:

\begin{aligned} x &= -\blueD{y} +3\\\\ x&=-(\blueD{6})+3\\\\ x&=-3 \end{aligned}

x

x

x

​

 

=−y+3

=−(6)+3

=−3

​

The solution to the system of equations is x=-3x=−3x, equals, minus, 3, y=6y=6y, equals, 6.

We can check our work by plugging these numbers back into the original equations. Let's try 3x+y = -33x+y=−33, x, plus, y, equals, minus, 3.

\begin{aligned} 3x+y &= -3\\\\ 3(-3)+6&\stackrel ?=-3\\\\ -9+6&\stackrel ?=-3\\\\ -3&=-3 \end{aligned}

3x+y

3(−3)+6

−9+6

−3

​

 

=−3

=

?

−3

=

?

−3

=−3

​

Yes, our solution checks out.

Example 2

We're asked to solve this system of equations:

\begin{aligned} 7x+10y &= 36\\\\ -2x+y&=9 \end{aligned}

7x+10y

−2x+y

​

 

=36

=9

​

In order to use the substitution method, we'll need to solve for either xxx or yyy in one of the equations. Let's solve for yyy in the second equation:

\begin{aligned} -2x+y&=9 \\\\ y&=2x+9 \end{aligned}

−2x+y

y

​

 

=9

=2x+9

​

Now we can substitute the expression 2x+92x+92, x, plus, 9 in for yyy in the first equation of our system:

\begin{aligned} 7x+10\blueD{y} &= 36\\\\ 7x+10\blueD{(2x+9)}&=36\\\\ 7x+20x+90&=36\\\\ 27x+90&=36\\\\ 3x+10&=4\\\\ 3x&=-6\\\\ x&=-2 \end{aligned}

7x+10y

7x+10(2x+9)

7x+20x+90

27x+90

3x+10

3x

x

​

 

=36

=36

=36

=36

=4

=−6

=−2

​

Plugging this value back into one of our original equations, say y=2x+9y=2x+9y, equals, 2, x, plus, 9, we solve for the other variable:

\begin{aligned} y&=2\blueD{x}+9\\\\ y&=2\blueD{(-2)}+9\\\\ y&=-4+9 \\\\ y&=5 \end{aligned}

y

y

y

y

​

 

=2x+9

=2(−2)+9

=−4+9

=5

​

The solution to the system of equations is x=-2x=−2x, equals, minus, 2, y=5y=5y, equals, 5.

5 0
2 years ago
If two lines are perpendicular, their slopes are negative reciprocals.<br> A. True<br> B.False
Ainat [17]
A. If the slopes of two lines are negative then the reciprocals, of the lines are perpendicular.
8 0
2 years ago
Read 2 more answers
Other questions:
  • Graph the function and identify the domain and range.<br><br> y = –0.5x2
    15·1 answer
  • Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6) Write subtraction of a polynomial expression as addition of the additive invers
    11·2 answers
  • Last week, Brianna earned $565.75, which included a $100 bonus. She makes $11.50 an hour. With x representing the number of hour
    7·2 answers
  • You work as a lab assistant. Each morning you are responsible for grouping the correct number of test tubes for
    10·1 answer
  • Ohh plz help me i really could use it
    7·1 answer
  • According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is
    14·1 answer
  • The following dot plot represents the litter sizes of two random samples of dogs: labrador retrievers and chihuahuas. Based on t
    13·2 answers
  • Find the highest common factor<br>​
    6·1 answer
  • No linksWhich value completes the equation?
    8·1 answer
  • 5 less than the square of a number
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!