Answer:

Step-by-step explanation:
<u>Area of trapezoid</u>
Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

The dulcimer has the following dimensions


and height h
Thus

Operating


Is the required polynomial
 
        
             
        
        
        
Answer:
10
Step-by-step explanation:
I first took away 60 from 195, as she already had 60 points. Than we were left with 135 points and since she gets 13.5 points every time she visits, I divided 135 by 13, which gives us 10. 
 
        
             
        
        
        
Answer:
See below. 
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let  and
 and  . Then, the given equation is essentially
. Then, the given equation is essentially  . Thus, we can use the chain rule.
. Thus, we can use the chain rule. 
Recall the chain rule: ![\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29%5Ccdot%20g%27%28x%29) . So, let's find the derivative of each function:
. So, let's find the derivative of each function: 

We can use the Power Rule here: 
 
 
Now: 

Again, use the Power Rule and Sum Rule

Now, we can put them together:
 

 
        
             
        
        
        
Step-by-step explanation:
x2-8x-3x+24=0
x(x-8) 3(x+8)
(x-8)(x+8)
x-8=0 or x+8=0
x=8. x= -8
 
        
             
        
        
        
 Answer:
a.2
Step-by-step explanation: