The discriminant can be found using the formula b^2-4ac 
First put your equation in standard form, where all your values are on one side, and just add f(x) or y in front of your equation. 
y= 8p^2-8p+2
The first value of your equation is a   (a=8)
The second term of your equation is b  (b=-8)
The last term of your equation is c  (c=2)
Plug in the values to the discriminant equation b^2-4ac 
        
             
        
        
        
Answer:
2x² + 6x + 20 
Step-by-step explanation:
See the picture
 
        
             
        
        
        
The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let a represent the time flown by the goose and b represent the time flown by the heron. Hence:
a + b = 14    (1)
Also:
20a + 10b = 180   (2)
From equation 1 and 2: 
a = 4, b = 10
The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours
Find out more on equation at: brainly.com/question/2972832
#SPJ1
 
        
             
        
        
        
Answer:
B. Place the compass at P and draw an arc of length OP across the circle.
Below is the diagram for help.
Step-by-step explanation:
We are given with an already constructed circle of diameter  and
 and  as radius.
 as radius.
To draw a regular hexagon(six-sided), we need to make first cut on the circle of an arc equal to radius of the circle taking any point of the diameter as center
So here, We will consider  as a center and take an arc of length
 as a center and take an arc of length  and make a cut on the circle.
 and make a cut on the circle.
This would be the first step and James need to repeat the same steps by considering the newly formed cut as center each time.
 
        
             
        
        
        
Answer:  The length is 20.
Step-by-step explanation:
If UW is the line segment, then the length of VW and UV has to equal to the length of UW 
VW = 6 
UV  = 14 
6 + 14 = 20