Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides:                    1.5x + 10 = -0.5
- Subtract 10 on both sides:                  1.5x = -10.5
- Divide both sides by 1.5:                     x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:                    2.5(-7) + 10 = -7 - 0.5
- Multiply:                        -17.5 + 10 = -7 - 0.5
- Add/Subtract:               -7.5 = -7.5
And we have our answer!
 
        
                    
             
        
        
        
Answer:
 intercept
 intercept 
line 
Step-by-step explanation:
Let  is the required line.
 is the required line.
<u>Slope of perpendicular lines :</u> If  and
 and  be slope of two perpendicular lines. Them
 be slope of two perpendicular lines. Them 
 is perpendicular to
 is perpendicular to 
the slope of  is
  is 

Hence eqn is 
This equation passes through 

so the line is 
<u>y-intercept :</u>
Substitute 

 
 
        
             
        
        
        
Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.
For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3
We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3
So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3
<span>

</span>
 
        
        
        
1 foot is shorter that 20 centimeters
        
             
        
        
        
The answer is the first one: 
bc its not growing by a (-)1/2  and the 3rd one just doesnt make sense