Answer:
MO = 17
Step-by-step explanation:
First, you need to define what if the unknown x. 
segment MN and NO are equal to MO. 
thus, your equation for the combination is x +8
Now set the values equal to each other
x + 8 = 3x - 10 (subtract x from both sides) 
8 = 2x - 10 ( get your x value alone, add 10 to both sides)
18 = 2x (simplfy)
x = 9 
Now plug x value into MO
3 (9) - 10 = 17
Check with opposing equation: 
9 + 8 = 17 √ 
 
        
             
        
        
        
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Let
s------> the length of the third side
 
           
 
   

therefore
<u>The answer part a) is</u>

we know that
the perimeter of a triangle is the sum of the length sides
In this problem

<u>For  </u>
</u>
the perimeter is equal to

<u>For  </u>
</u>
the perimeter is equal to

so

therefore
<u>the answer part b) is</u>

 
        
                    
             
        
        
        
Answer:
The correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
Step-by-step explanation:
If we start analyzing this function at a value of x that is really small, which would be close to negative infinity and we increase the value of x, we will notice that the y-value will also increase. Therefore if we go far into the left, that is, we apply minus infinity to the function we will receive an output that is equal to minus infinity. When the value of x approach 0, the value of the function also approaches 0. Finally when we go far into the right, to positive infinity the function will also go to infinity. Therefore the correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
 
        
             
        
        
        
Answer:
-2x² + 21x + 27
Step-by-step explanation:
distribute 3 to get:
(6x² + 21x + 12) - 8x² + 15
combine 'like terms' to get:
-2x² + 21x + 27
 
        
             
        
        
        
Answer:125.666
Step-by-step explanation: