Answer:
(- 5, - 28 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 10x
f(x) = x² + 2(5)x + 25 - 25 - 3
= (x + 5)² - 28 ← in vertex form
with (h, k) = (- 5, - 28)
Vertex = (- 5, - 28 )
Answer: the dependent variable is the seconds and the independent variable is the feet.
Step-by-step explanation:
independent means it not dependent and the nmber of feet keep changing while it goes down, while the seconds stay the same the whole time at 7.
Answer: 0
Step-by-step explanation:
The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.
In this case, event A is the Captain hitting the pirate ship and event B is the pirate hitting the Captain's ship.
The Captain fires first, so his ship can't be sunk before he fires his cannons.
So, the probability of the Captain hitting the pirate ship is 2/5
If the Captain hit the pirate ship, the pirate has no chance of firing back.
So, the probability of the pirate hitting the Captain's ship given the Captain hitting the pirate ship is 0.
Answer: U and V are complimentary angles.
Step-by-step explanation: K
Answer:
700.4 cm
Step-by-step explanation:
Use a proportion.
Let x be the vertical distance for the 700 cm pipe.
1 cm is to 30 cm as x cm is to 700 cm
1/30 = x/700
30x = 1 * 700
30x = 700
3x = 70
x = 70/3
Now we need l. We have a right triangle with legs measuring 70/3 cm and 700 cm, and we are looking for the hypotenuse l.
a^2 + b^2 = c^2
(70/3)^2 + 700^2 = c^2
c^2 = 4900/9 + 490000
c = 700.4
l = 700.4 cm
