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
nydimaria [60]
3 years ago
12

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

st and 5 blocks north to drop off the passenger. What are the coordinates of the point where the passenger was dropped off?
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0
The coordinates of the drop off would be (-2,2)
You might be interested in
In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent
Afina-wow [57]

Answer: The cost per game is $5.5

Step-by-step explanation:

Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.

This means that amount paid for x number of games = 20 - 3.5 = $16.5

If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3

If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5

4 0
3 years ago
Solve the following equation for g: 2(g - h) = b + 4
DaniilM [7]

Answer:

g = \frac{b+4+2h}{2}

Step-by-step explanation:

Given

2(g - h) = b + 4 ← distribute parenthesis on left side

2g - 2h = b + 4 ( add 2h to both sides )

2g = b + 4 + 2h ( divide both sides by 2 )

g = \frac{b+4+2h}{2}

6 0
3 years ago
A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).
Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

5 0
2 years ago
21) Jaquan earns $5 per hour raking leaves. He needs at least $170 to buy a new deo game system. Write an inequality that descri
Anna007 [38]
5x>/170
(WORK SHOWN BELOW)

5 0
3 years ago
Other questions:
  • In a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. Each suit has one each of 13 cards: ace,
    14·2 answers
  • -25 Points-
    13·1 answer
  • Solve in terms of x and Y
    10·1 answer
  • Describe a situation in which the probability of two events is mutually exclusive. Formulate and answer a question about its pro
    15·1 answer
  • Write the value of 8 in 8091
    5·2 answers
  • 20 increased by twice Greg's savings<br> Use the variable g to represent Greg's savings.
    14·2 answers
  • Select all the correct locations on the table.
    7·2 answers
  • The graphs below show the test scores for students in different subject area and the time the students spent studying for the te
    11·2 answers
  • Which expression is equivalent to 5x +2-x10
    12·2 answers
  • Tiara is already 6 miles down the road, bicycling at 12 mph, when Dmitri starts down the same road, cycling at 16 mph. According
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!