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
klio [65]
3 years ago
9

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

who is located at point B.
Which equation represents Grant’s path?


y = 2 – 4x

y = 4 – X over 2

y = 6 – X over 4

y = 8 – 2x

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ x_{1} = 8 and x_{2} = -4

∴ y_{1} = 0 and y_{2} = 6

∵ m=\frac{6-0}{-4-8}=\frac{6}{-12}

∴ m=-\frac{1}{2}

Substitute the value of m in the form of the equation

∵ y = m x  + b

∴ y = -\frac{1}{2} x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = -\frac{1}{2} x + 4

We can write -\frac{1}{2} x as -\frac{x}{2}

∴ y =  -\frac{x}{2} + 4

- Switch the two terms of the right hand side

∴ y = 4 -  \frac{x}{2}

The equation of Grant's path is y = 4 -  \frac{x}{2}

You might be interested in
Helppp!!<br> right answers only please!
Savatey [412]

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

4 0
2 years ago
29 degrees C to Fahrenheit.​
Shtirlitz [24]

Answer:

29 degrees Celsius are 84.2 Fahrenheit.

Step-by-step explanation:

In order to convert Celsius to Fahrenheit you can use this formula: F = C * 1.8 + 32.

Here we have F = 29 * 1.8 + 32 which equals 84.2. Instead of 1.8 you can use the fraction \frac{9}{5} if you wish so.

3 0
3 years ago
Read 2 more answers
What is the average rate of change of the function f(x)= 2^x - 3 from x= 4 and x= 6?
WITCHER [35]

aaaaaaaaaaaasasaasasasasaasasasasaaaasasasasas

7 0
3 years ago
So, how do owls live. Like I need a serious explanation food,water,sleeping,predators,prey. Or give me all you know. But somethi
pashok25 [27]

<span>Owls are found in many different habitats, such as deserts, forests, prairies and even the Arctic tundra. They nest in trees, in holes in the ground, in barns, and in caves. And while many other birds migrate to warmer places during the winter, most owls do not. They live in the same place all year round.</span>
6 0
3 years ago
Read 2 more answers
URGENT Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
svet-max [94.6K]

correct answer is 5, because f(-5) / g(-5) = -30/-6 = 5

5 0
3 years ago
Read 2 more answers
Other questions:
  • Identify a fraction that is equivalent to 25/100
    11·2 answers
  • identifying equation in point slope form for the line perpendicular to y equals negative 1 / 3x - 6 that passes through -1,5
    14·1 answer
  • Prove that the diagonals of kite UVWX are perpendicular.
    15·2 answers
  • Lattice square to resolve 932X73
    11·1 answer
  • The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchan
    5·1 answer
  • PLEASE HELP ME MUST GET DONE
    5·2 answers
  • Solve pleaseeeeeeeeeeeee​
    9·2 answers
  • After a very successful year, Cheap-Rentals raised salaries by a scale factor of `\frac{11}{10\ }`. If Luan now makes $14.30 per
    9·1 answer
  • Maria cut a rectangular piece of fabric. The area was 8/10 of a meter. The width was 6/10 of a meter. What was the length of the
    10·1 answer
  • Decide whether the two inequalities are equivalent. Explain.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!