Who want crown things
1 answer:
You might be interested in
Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write
cross multiplying we get:
Diving through by 0.819, we obtain
To the nearest tenth, x=24.4 feet.
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula
Which comes out to or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is .
This also means the axis of symmetry is
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is .