If it reaches its maximum height a t=3 its velocity must be zero at t=3
dy/dx=0 at t=3
dA/dx=4x+12=24 at t=3 so this does not apply
dB/dx=-4x+12=0 at t=3 and B=13 at t=3 so B applies
dC/dx=-4x-12=-24 at t=3 so this does not apply
dD/dx=-4x-12=-24 at t=3 so this does not apply
dE/dx=-4x-12=-24 at t=3 so this does not apply
So only quadratic B: reaches a maximum height of 13 feet at 3 seconds.
The slope-intercept form is y=mx+b so this what you do.
4y - 3x + 6 = 0
Add 3x and subtract 6 to both sides.
4y = 3x - 6
Divide the right side by 4.
y = 3/4x - 3/2
So the slope is 3/4.
I hope this helps love! :)
Answer:
29.71
Step-by-step explanation:
8+6+5pi
14+15.71
29.71
15.71 is approx 5pi
Step-by-step explanation:
Because the length of ST is calculated using pythagorean theorem:
Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:
Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.
Using that formula, you get that y = 17 and x = 8.
Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:
And finally, the correct answer is in fact 353.
"950 feet in 19 minutes" can be expressed as the rate (950/19) (ft/min), and is negative because the diver is descending (going downward).
Simplifying, -950/19 (ft/min) = -50 (ft/min)