Solve system by elimination -2x+2y =2 4x-4y=4

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

there is no solution for the question

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Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to

trasher [3.6K]

60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2

abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.

d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.

4 0

3 years ago

Which correctly describes how the graph of the inequality 5x + 2y > 13 is shaded?

Leya [2.2K]

Answer:

We can't graph on this app but this is what I can give you.

Step-by-step explanation:

The 5+2 part automatically makes 7, obviously, meaning that x and y each would have to at least represent 2 for this equation to be true.

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2 years ago

In which step does a mistake first occur?

kumpel [21]