When the 10 is to a negative power you move the decimal to the left. in this case its 5 spots. i believe your answer is .00005003
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.
5.268 • 10 to the power of 13
( the decimal point would have to move 14 times to the left)
Answer:
g=1.5
Step-by-step explanation:
you want to eliminates the 2/5 so you do that by dividing it by itself (since you do the opposite equation) you do this on both side (so do 2/5 divided by itself, and 3/5 divided by 2/5) getting you 1.5 therefore all you have on the left side if this equation is g so g=1.5
Answer:
1.3x
Step-by-step explanation:
X=1
1+0.3=1.3 (don't forget to add 'X')
So, the answer is 1.3x
hope this helps!
