700 cal out of the 2000
2000*.35
0.3.......the 3 is in the tenths place
0.103....the 3 is in the thousandths place
0.13.....the 3 is in the hundredths place
0.3 is ur answer
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.
I believe it’s 80 hope it helps
9514 1404 393
Answer:
- (x +1)² = 4
- (D) x = -1 ±2
Step-by-step explanation:
Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.
3 = x² +2x
Now, add the square of half the x-coefficient.
3 +1 = x² +2x +1
(x +1)² = 4 . . . . . . . . write as a square in the desired form
__
To solve, take the square root, and add the opposite of the left-side constant.
x +1 = ±2
x = -1 ±2 . . . . . . matches choice (D)
