Answer:
y = x - 4
Step-by-step explanation:
<u>Use point slope form:  (y - y1) = m(x - x1)</u>
m = 1
<u>Step 1:  Plug in</u>
(y - (-3)) = 1(x - 1)
y + 3 - 3 = x - 1 - 3
y = x - 4
Answer:  y = x - 4
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

Simplifying:

Solving for 1+r:
![1+r=\sqrt[20]{2}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%5B20%5D%7B2%7D)

The exponential function that models the situation is:

 
        
             
        
        
        
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a 
a = -31/42.25 
a = -124/169 
Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
        
             
        
        
        
Here we want to have x on one side of equation so, 
we put number 5 on right side of equation:
abx=5
then we divide both sides by ab to obtain x on left side:
Result:
x=<u />
 
 
        
        
        
Answer:The surface area of this prism is the squares
Step-by-step explanation:the reason being is that the square on top is the surface of the prism