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mrs_skeptik [129]
3 years ago
5

The relationship between the total distance traveled in miles, y, and time, in hours, x, can be described by the equation y=65x.

What is the constant of proportionality?
Mathematics
1 answer:
professor190 [17]3 years ago
7 0
The constant is 65 because you are always going 65 miles per hour according to this equation
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I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the
blagie [28]

Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

m= \frac{-2-0}{1-(-3)}

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

m = \frac{4-1}{1-(-1)}

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: (\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

(\frac{-3+4}{2}, \frac{2-1}{2})

Simplify:

Midpoint = (1/2, 1/2)

3 0
3 years ago
A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
kari74 [83]

9514 1404 393

Answer:

  • 160 ft (out from the river)
  • 320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

  A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.

6 0
3 years ago
What are the coordinates of this point help plssssssssssssssss<br>​
meriva

Answer:

(-2, -4)

Step-by-step explanation:

Use the (x,y) thing:

x = -2

y = -4

therefore, (-2, -4)

6 0
2 years ago
Let f(x) = x - 3 and g(x) = x + 11. Find f(x) · g(x).
Nady [450]

Answer:

i think its D

f(x) = x-3 and g(x) = x+11

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

hope this helped :3

3 0
3 years ago
Read 2 more answers
You are building a skateboard ramp from a piece of wood that is 3.1 meters long. You want the ramp to make and angle of 25 with
andrew11 [14]

Answer:

30 degrees. 

Step-by-step explanation:

The ladder that extends from the floor to the storeroom makes a right triangle.  The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees. 

Read more on Brainly.com - brainly.com/question/1411682#readmore

6 0
4 years ago
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