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
IgorC [24]
3 years ago
10

A taxicab starts at (1, -2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks

west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position

Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0

Answer:

The cab is -1/3 west of north.

( from the starting point it goes 1 block to the north and 3 blocks to the west . Cab is at (-2,-1))

Step-by-step explanation:

It is given that:

A taxicab starts at (1, -2) on the grid.

  • It goes 4 blocks south and 3 blocks east to pick up a passenger.

This implies that the cab will reach at a point (4,-6)

( Since going south means it will go some units down and similarly going east means it will go some units to the right.

Hence, here going 4 blocks south and 3 blocks east means it will go to:

(1,-2) → (1+3,-2-4)=(4,-6) )

  • Then it goes 6 blocks west and 5 blocks north and drops off the passenger.

This means that the cab will drop the passenger at (-2,-1)

Since going north means it will go some units up and similarly going west means it will go some units to the left.

Hence, here going 6 blocks west and 5 blocks north means it will go to:

(4,-6) → (4-6,-6+5)=(-2,-1) )

Hence, the end point is (-2,-1)

Now the slope of the line joining the starting and the end point is:

i.e. line joining (1,-2) and (-2,-1) is:

=\dfrac{-1+2}{-2-1}\\\\\\=\dfrac{1}{-3}\\\\\\=-\dfrac{1}{3}

Hence, the taxicab is -1/3 block west of north.

i.e. from the starting point it goes 1 block to the north and 3 blocks to the west.

i.e. the cab is in west-north direction from the starting point.

scoundrel [369]3 years ago
5 0

Answer:

3 Blocks west, 1 block north

Step-by-step explanation:

You might be interested in
It costs $107 for 10 students and $137 for 15 students. How much does it cost for 12 students?
Anestetic [448]
\bf \begin{array}{ccccccccc}
&&\stackrel{students}{x_1}&&\stackrel{price}{y_1}&&\stackrel{students}{x_2}&&\stackrel{price}{y_2}\\
%  (a,b)
&&(~{{ 10}} &,&{{ 107}}~) 
%  (c,d)
&&(~{{ 15}} &,&{{ 137}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{137-107}{15-10}\implies \cfrac{30}{5}\implies \cfrac{6}{1}\implies 6

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-107=6(x-10)
\\\\\\
y-107=6x-60
\implies 
y=6x+47\\\\
-------------------------------\\\\
\textit{how much will it be for }\stackrel{x}{12~students?}\qquad y=6(12)+47
7 0
3 years ago
Patrice's credit card has an APR of 11%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the m
Sunny_sXe [5.5K]
The answer is $246.73 Just for whoever is trying to pass those Apex tests!
3 0
3 years ago
Read 2 more answers
How do I solve c=2πr
Xelga [282]
Find out what pi is and take 2× what ever number is pi and you will get an answer C=
5 0
3 years ago
Which function increases by 3 every time the x-increases by 1? <br><br> = B) y=3x+1
WINSTONCH [101]
3 i took the test and got it right
4 0
2 years ago
Which line is parallel to line r? line p line q line s line t
ziro4ka [17]

Answer:

Line S

Step-by-step explanation:

Because Line R and Line S don't meet and dont intersect.

I hope this helps! I'm sorry if it's wrong.

8 0
3 years ago
Read 2 more answers
Other questions:
  • A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi
    6·2 answers
  • Someone plz help me with this???
    5·1 answer
  • 1. Write a paragraph proof for the following conjecture.
    7·2 answers
  • Is 3x + 5 = 3x - 5 one solution or no solution
    9·2 answers
  • During his 2007 MVP season for the New York Yankees, Alex Rodriguez hit 98 singles, 31 doubles, 0 triples, and 54 home runs in a
    11·2 answers
  • Describe how you would find 24+ 36 using mental math
    13·1 answer
  • Translate this sentence into an equation.
    11·2 answers
  • What is the completely factored form of this expression?
    8·1 answer
  • Find the output when the input is 10
    6·1 answer
  • Solve for the value of s.<br> 58<br> (s-4)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!