Answer:
Co-ordinates of the focus is; (0, -4)
Step-by-step explanation:
We are given;
Vertex at origin; (0, 0)
Equation of parabola; y = x²/4p
4p = -16
Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)
Now, from 4p = -16 we can find p
p = -16/4
p = -4
Thus coordinates of the focus is; (0, -4)
Answer: Hillary would have to invite 15 people before the cost of having the party at Hotel B is less than the cost of having a party at Hotel A
Step-by-step explanation:
Let x represent the number of guests that Hillary would invite.
The banquet hall at Hotel A will cost $431 to rent the room and $38 per guest. This means that the total cost of hosting x guests at hotel A is
38x + 431
The banquet hall at Hotel B will cost $747 to rent the room and $16 per guest. This means that the total cost of hosting x guests at hotel B is
16x + 747
For the cost of having the party at Hotel B to be less than the cost of having a party at Hotel A, it means that
16x + 747 < 38x + 431
747 - 431 < 38x - 16x
316 < 22x
22x > 316
x > 316/22
x > 14.36
Since you can spend all but 20%, then you can spend the rest, namely the 80%.
whatever% of anything is just (whatever/100) * anything.
therefore, 80% of 225 is then (80/100) * 225, that much.
X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.
So your answer is
x=72
Acute Triangle
Depends on how much time he has
if he travels against the rotation of the earth, he has more time
the answer would be number of stops/time (minutes)
number of stops=91.8million
if we were to assume he did it at night (from 6 to 6) disregarding complecations like roration and bathroom breaks, 12 hours=720 minues
91.8million/720=127500 stops per minute
