Answer:
1/6 or 0.166666...
Step-by-step explanation:
1 out of 6, so 1/6
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = 
(x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D
Answer:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Step-by-step explanation:
66/31 = 2 4/31
Since 66 divided by 31 is 2 with remainder 4, you need to do 31 days of 2 lessons per day. To do the extra 4 lessons, do one more lesson per day for 4 of those days.
That results in:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Check:
2 lessons a day for 27 days = 2 * 27 = 54
3 lessons a day for 4 days = 3 * 4 = 12
54 + 12 = 66
If you do 2 lessons a day for 27 days and 3 lessons a day for 4 days, you will do the 66 lessons.
Slope: (y2-y1)/(x2-x1)
(6-8)/(4-2) = -2/2 = -1
The slope is -1
