Answer:
![6\sqrt{7}](https://tex.z-dn.net/?f=6%5Csqrt%7B7%7D)
Step-by-step explanation:
If you bring 252 to its prime numbers, its 2, 2, 3, 3, and 7. Just multiply 2 and 3 and you get 6 root 7.
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.
A)4/13 would be the larger number since if you were to try to add them, 4/13 = 40/130 and 3/10 = 39/130, 40/130 > 39/130
B) A rational number between them would be 39.5/130.
The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
<h3>How to determine the missing values?</h3>
The equation of the function is given as:
y = 5^x
And the x value is given as
x = 2
To determine the missing value, we start by substituting 2 for x in the function y = 5^x
So, we have:
y = 5^2
Evaluate the exponent
y = 25
So, the complete coordinate is (2, 25)
Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
Read more about functions at:
brainly.com/question/6561461
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The answer is a 12% increase.