The prices and sizes of popcorn sold at local theaters are shown in the table.
1 answer:
You might be interested in
Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is
years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then
Multiply this equation by 5:
The sister is 11 years old.
Answer:
y = - (x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2