Answer:
Step-by-step explanation:
Answer:
lowered by 31 feet
Step-by-step explanation:
The problem statement makes us assume the boat is lowered in each case. The boat is apparently not raised anywhere, so is lowered by ...
(12 + 11 + 8) feet = 31 feet
Answer:
The vertex is (-1, -4)
Step-by-step explanation:
Let's find the vertex by completing the square of y= -x^2 - 2x - 5.
Isolate the first two terms inside parentheses: y= -(x^2 + 2x) - 5
Now complete the square of the expression inside these parentheses:
y = -(x^2 + 2x + 1 - 1) - 5
and rewrite this as
y = -(x + 1)^2 + 1 - 5, or
y = -(x + 1)^2 - 4
(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.
The vertex is (-1, -4)
To solve a problem like this, we can setup a basic algebraic equation.
52+14=x
66=x
We know this equation is true because 14 years ago, she was 52 so 14 years later, she is 66.