In the Figure below is shown the graph of this function. We have the following function:

The  occurs when
 occurs when  , so:
, so:

Therefore, the  is the given by the point:
 is the given by the point:

From the figure we have three  :
:

So, the  occur when
 occur when  . Thus, proving this:
. Thus, proving this:

 
        
                    
             
        
        
        
Answer:
D: 10 laps in 215 seconds
Step-by-step explanation:
86/4 = 21.5 seconds per lap
I went through and multiplied each lap number by the time per lap and the last one, D is the right answer!
Have an amazing day!
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Answer:
D.24
Pythagorean states:
hypotenuse^2 = side1^2 + side2^2
30^2 = 18^2 + side2^2
side2^2 = 30^2 - 18^2
side2^2 = 900 - 324
side2^2 = 576
side2 = sqr root 576
side2 = 24
Source: http://www.1728.org/pythgorn.htm
Step-by-step explanation:
 
        
             
        
        
        
Answer:
D) 4
Step-by-step explanation:
−9 + 12 + (unknown) + −8 = −1
<em>Start by going through and testing each option</em>
−9 + 12 + 2 + −8 =
3 + 2 + −8 =
5 + −8 =
−3
−3 ≠ −1
<em>A) 2 is not possible.</em>
−9 + 12 + −2 + −8 =
3 + −2 + −8 =
1 + −8 =
−7
−7 ≠ −1
<em>B) </em>−<em>2 is not possible.</em>
−9 + 12 + −4 + −8 =
3 + −4 + −8 =
−1 + −8 =
−9
−9 ≠ −1
<em>C) </em>−4<em> is not possible.</em>
<em>From this, D is looking like the answer. But to be sure, test it.</em>
−9 + 12 + 4 + −8 =
3 + 4 + −8 =
7 + −8 =
−1
−1 = −1
<em>D) 4 is the answer.</em>
 
        
             
        
        
        
Answer:
- short base: 6 yards
- long base: 8 yards
Step-by-step explanation:
Our understanding of your figure is shown below.
The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."
The short base is 6 yards.
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The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.
The long base is 8 yards.