Answer:
(n- 2/3)²
Step-by-step explanation:
- <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>
We have:
It can be put as:
Here we consider n = a and -2/3 = b, then 
Now we add 4/9 to a given binomial to make it perfect square:
- n² - 2×n×3/2 + 4/9= (n- 2/3)²
So, added 4/9 and got a perfect square (n- 2/3)²
 
        
             
        
        
        
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex 
P( 8, 0)
P'(4,0)
the dilatation factor is given by

The triangle has a dilatation factor of 1/2
Part B: 
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows



Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. 
Then the triangles are not congruent
 
        
             
        
        
        
Hello! The ratio would be 15 minutes warm ups: 65 minutes total workout.
To simplify this: 3:13 ratio. (Divided 15 by 5 and 65 by 5)
        
                    
             
        
        
        
The answer is D because the two points are in x-value -1 and 3
        
             
        
        
        
Answer:
(f о g)(0) = 24
Step-by-step explanation:
f(x) = -5x - 1
g(x) = x² - 5
When you see (f о g)(#), they want you to plug the function g(x) into the function f(x).
First find g(0).
g(0) = (0)² - 5
g(0) = 0 - 5
g(0) = -5
Now plug g(0) = -5 into f(x) by replacing all x's with -5.
(f о g)(0) = -5(-5) - 1
Multiply.
(f о g)(0) = 25 - 1
Subtract.
(f о g)(0) = 24