Answer: 30$
Step-by-step explanation:
Equation
C=5h
c=5(6)
c=30
If the vertex is at the maximum point they dy/dx=0 at that point...
dA/dx=-2x+4
dB/dx=-2x+8
dC/dx=2x-4
dD/dx=2x-8
So both B and D have a zero velocity at x=4, but only B is equal to 3 when x=4
B. is the correct quadratic with the vertex at (4,3)
<h2>Theoretical probability:</h2><h2><u>Rolling once = 1/6</u></h2><h2>Rolling 500 times = 83 times</h2><h2>1/6 is your answer!</h2>
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)
A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)
The diagonal is 11 feet (to the nearest whole number)