Answer:
The value of 
Step-by-step explanation:
We have

Now we need to find


 
        
             
        
        
        
{(-5,64), (2,1)}
linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9
Substitute the y in the quadratic equation by the its value in the linear equation.
-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor
Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2
Find the corresponding value of y using the linear equation.
y = -9x + 19
x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1
(-5,64)                              (2,1)
Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1
y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1
{(-5,64), (2,1)}
        
             
        
        
        
Answer:
You have 8 choices for the third digit (digits 0 - 9 excluding the numbers you chose for the first and second digit). So by the multiplication principle (MP), there are 9*9*8 ways to do this. So there are 648 numbers that are 3 digit numbers and have no repeated digits.
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
 
        
                    
             
        
        
        
A line is infinitely long but is only one-dimensional.
A solid is three-dimensional but not infinite.
Geometric space is infinite but is three-dimensional.
So, that leaves a plane, which is two-dimensional and infinitely large. The answer is A plane!