<u>Answer-</u>
The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

<u>Solution-</u>
Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)
The applying the distance formula,








Two equations are formed because one will be upper from the the given line and other will be below it.
 
        
             
        
        
        
Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines 
Step-by-step explanation:
The two column proof is presented as follows;
Statement   Reason
                               Reason
1. ∠SWT ≅ ∠TWU  Given
                    Given
2. m∠SWT + m∠TWU = 180°   Angles forming a linear sum to 180°
  Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180°  Substitution
    Substitution
4. m∠SWT = 90°   Algebra
                      Algebra
5.  ⊥
⊥  
  Definition of perpendicular lines
                                  Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines  and
 and  m∠SWT = 90°, therefore, the lines
 m∠SWT = 90°, therefore, the lines  and
 and  are perpendicular to each other.
 are perpendicular to each other.
 
        
             
        
        
        
96.5 times 2.54
the answer is 245.11
        
             
        
        
        
Answer:
 it gives u a green marble.
Step-by-step explanation:
If I have 1 red marble replaced by a green marble then I have a green marble.