Answer:
-0/10
Step-by-step explanation:
y2-y1      rise
-------- = --------
x2-x1       run
 
        
                    
             
        
        
        
Answer:
The solution is (1,2)
Step-by-step explanation:
- 2x - y = - 4 
  x + 2y = 5
Multiply the second equation by 2 so we can eliminate x
2( x + 2y) = 5*2
2x +4y = 10
Add this to the first equation
- 2x - y = - 4 
2x +4y = 10
----------------------
3y = 6
Divide each side by 3
3y/3 = 6/3
y = 2
- 2x - y = - 4 
  x + 2y = 5
Multiply the first equation by 2 to eliminate y
2(- 2x - y) = - 4*2
-4x -2y = -8
Add this to the second equation
 -4x -2y = -8
 x + 2y = 5
------------------
-3x = -3
Divide by -3
-3x/-3 = -3/-3
x = 1
The solution is (1,2)
 
        
             
        
        
        
Answer:
Roots: 3.746 and -13.746
Vertex: (-5, 153)
Step-by-step explanation:
- The roots of the quadratic equation y = ax² + bx + c, are the values of x at y = 0
- Its vertex is (h, k), where, h =  , and k is the value of y at x = h , and k is the value of y at x = h
Let us use these facts to solve the question
∵ y = -2x² - 20x + 103
→ Compare it by the form of the equation above
∴ a = -2, b = -20, and c = 103
→ To find its roots equate y by 0
∵ 0 = -2x² - 20x + 103
→ Use your calculator to find the values of x 
∴ x = 3.746427842 and x = -13.74642784
→ Round them to 3 decimal places
∴ x = 3.746 and x = -13.746
∴ Roots: 3.746 and -13.746
→ To find its vertex use the rule of h above
∵ a = -2 and b = -20
∵ h =  =
 =  
 
∴ h = -5
→ To find k substitute y by k and x by -10 in the equation 
∵ k = -2(-5)² - 20(-5) + 103
∴ k = -2(25) + 100 + 103
∴ k = -50 + 100 + 103
∴ k = 153
∴ The vertex of the quadratic is (-5, 153)
∴ Vertex: (-5, 153)
 
        
             
        
        
        
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