Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
   +2   +2
x = 2
------------
y + 11 = 0
    -11    -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
 
        
                    
             
        
        
        
Answer:  24
<u>Step-by-step explanation:</u>
Let's find one solution:
3x² + 7x + c = 0
a=3 b=7  c=c
First, let's find c so that it has REAL ROOTS.
⇒ Discriminant (b² - 4ac) ≥ 0
                          7² - 4(3)c ≥ 0
                          49 - 12c ≥ 0
                                -12c  ≥ -49
                                  
       
Since c must be a positive integer, 1 ≤ c ≤ 4
Example: c = 4
3x² + 7x + 4 = 0
(3x + 4)(x + 1) = 0
x = -4/3, x = -1         Real Roots!
<em>You need to use Quadratic Formula to solve for c = {1, 2, 3}</em>
<em />
Valid solutions for c are: {1, 2, 3, 4)
Their product is: 1 x 2 x 3 x 4 = 24
<em />
 
 
        
             
        
        
        
Is there a picture? You just threw it all in a sentence. It works better with a pic
        
                    
             
        
        
        
Answer:
<em>The value of g(-5) is 15</em>
Step-by-step explanation:
<u>Numerical Value of Functions</u>
We are given the expression:

The value of g(-5) is calculated by substituting x=-5



The value of g(-5) is 15
 
        
             
        
        
        
Answer:
Option D is correct.
Step-by-step explanation:
The relationship between any point on an ellipse and each of its foci is:
The sum of the distances to each focus equals a certain constant. The constant will be 2a
If d₁ and d₂ are the distances then their sum is d₁ + d₂ = 2a.
Option D is correct.