Answer: 8n
Let's simplify step-by-step.
(2(n+1)−1)2−(2n−1)2
Distribute:
=4n2+4n+1+−4n2+4n+−1
Combine Like Terms:
=4n2+4n+1+−4n2+4n+−1
=(4n2+−4n2)+(4n+4n)+(1+−1)
=8n
 
        
             
        
        
        
Answer:
A.
Step-by-step explanation:
Take a look at what happens when squaring either of these...

Notice a couple of patterns.
1.  The last term has a positive coefficient.  That rules out answer choices C and D.
2.  The coefficient of the middle term is either  .  So what are <em>a</em>  and <em>b</em>?  <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.
 .  So what are <em>a</em>  and <em>b</em>?  <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

The middle coefficient needs to be either +30 or -30.  The answer is choice A.
 
        
             
        
        
        
Answer:
Option a) f(x)=x^2
Step-by-step explanation:
The parent function that can be used to graph the function f(x)=-9(x+5)^2 is f(x)=x^2
 
        
             
        
        
        
Hi there!

f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth 
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay. 
1/5 < 1, so the function is undergoing exponential decay, not growth.
 
        
             
        
        
        
First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free  to ask me in the comments.