Answer:  C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90°  [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90°  [by definition of altitude]
Therefore by AA similarity postulate, we have 
ΔMNO ≈ ΔPNO
 
        
             
        
        
        
Sadly, you didn't give me any choices to choose from.
y² - 1 = 24
Add 1 to each side :
y² = 25
y = √25
<u>y = +5</u>
and
<u>y = -5</u>
        
                    
             
        
        
        
Answer:
5
Step-by-step explanation:
Given
 ← substitute p = 4 and q = 2
 ← substitute p = 4 and q = 2
=  =
 =  = 5
 = 5
 
        
                    
             
        
        
        
Answer:
B
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity. 
Let's take a look at each end. 
As x approaches negative infinity: 
As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards. 
Therefore, as  , our function f(x) is increasing and increasing up towards positive infinity.
, our function f(x) is increasing and increasing up towards positive infinity. 
Therefore, the end behavior at the left will be: 

As x approaches (positive) infinity: 
As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards. 
Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) <em>also</em> approaches positive infinity. 
Therefore, the end behavior at the right will be: 

Therefore, our answer is B.