Answer:3 units/s
Step-by-step explanation:
Given

Point P lie on this curve so any general point on curve can be written as 
and 
Distance between Point P and (2,0)

P at x=3 P=2
rate at which distance is changing is 



 
        
             
        
        
        
Answer:
3:4:7
Step-by-step explanation:
2/7 is apple juice
1/2 is orange juice
2/7 + 1/2=4/14+7/14=11/14
14/14 - 11/14=3/14
3/14 is cranberry juice
4/14 is apple juice
7/14 is orange juice
the ratio is 3/14 to 4/14 to 7/14
the ratio simplified is 3:4:7
 
        
             
        
        
        
Answer:
Question 1: 34.56 mm
Question 2: 12.57 in
Question 3: 15.70 yd
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
52% 
Step-by-step explanation:
First, find the difference between this year's sales and the previous'. 1500-990=510. 
Now we can divide 990 by 510 to find the percent increase. 510/990=0.515151515152, or 52%.
 
        
                    
             
        
        
        
<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

Next, divide both sides by 2:

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:

Next, factor the left side:

Next, square root both sides of the equation:

Next, add 4 to both sides of the equation:

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.

<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 