10° 55° x х Solve for y in the figure above.
1 answer:
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Answer:
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
Step-by-step explanation:
Let y' denote the corresponding equation after the translation of the given function y
We are given a equation of a function as: y=|x|.
Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.
We know that for any function f(x) the translation 'a' units down is given by:
f(x)-a
And the translation 'b' units right of a function g(x) is given by:
g(x-b)
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
Answer: Ana will hit the water after 3 seconds.
Step-by-step explanation:
The exercise gives you the following function which models Anna's height above the water (in meters) after diving "x" seconds:
You can rewrite the function with :
In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:
- Substitute into the function:
- Solve for "x".
By the Zero Product Property, you know that if , then
or
.
Then you get:
- Choose the positive value ()
Then, Ana will hit the water after 3 seconds.