Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
DB is a median (given). It goes from vertex point D to midpoint B.
The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC
AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer
Answer:
1 gallon every 16 minutes
Step-by-step explanation:
If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.
Answer:
3.41<u>6</u>, bar above 6
Step-by-step explanation:
41/12 = 3.4166666666666
41/12 = 3 & 5/12