Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
Use SOHCAHTOA. Since we are looking for the hypotenuse, you must use sine or cosine. Since, we are given the adjacent side, use cosine.
cosx=a/h
cos45=8/h
√2/2=8/h
<em>*Cross multiply*</em>
h√2=16
<em>*Divide both sides by √2*</em>
h=16/√2
<em>*Multiply by √2/√2*</em>
h=(16√2)/2
<em>*Simplify the fraction*</em>
h=8√2
Hope this helps!!
Step-by-step explanation:
1) A number <em>m</em> is at least four
<em>m ≥ 4 ['at least' = ≥ symbol]</em>
<em />
2) 4x ≤ 20x; x=2
4(2) ≤ 20(2)
8 ≤ 40
[Im not sure if this is a solution or and inequality :/ ]
3) x < 5
--> On the line, draw the number 0, and the number five. 'x < 5' also means 'x is less that five.' So, draw a dot over the line before 5, and make an arrow going to the left of the page,
<-----------------------------------o 5
<---|---|---|---|---|---|---|---|---|---|---|---|---|---|--->
0
Hopefully this helps! :)
I haven't done these problems in a really long time, so there's a chance that my answer might be wrong. I hypothesize that the correct answer is C.
