Answer:


Step-by-step explanation:


 
        
             
        
        
        
The given equation has a slope of  .  Parallel lines have the same slope.
.  Parallel lines have the same slope.
Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the point and "m" is slope
y - y₁ = m(x - x₁) 
y - (-4) =  (x - 2)
(x - 2) 
y + 4 =  x +
x + 
 <u>  - 4</u>     <u>       -  </u>
</u>
    y =  x - <u>
x - <u> </u>
</u>
 
        
             
        
        
        
Answer:
Attached file
Step-by-step explanation:
 
        
             
        
        
        
The point-slope form:

We have the points (3, -4) and (5, 1). Substitute:

The standard form: 
 <em>multiply both sides by 2</em>
           <em>multiply both sides by 2</em>
 <em>use distributive property</em>
           <em>use distributive property</em>
 <em>subtract 2y from both sides</em>
            <em>subtract 2y from both sides</em>
 <em>subtract 15 from both sides</em>
          <em>subtract 15 from both sides</em>

<h3>Answer: 5x - 2y = -7</h3>
 
        
             
        
        
        
The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.
<u><em>How to solve:</em></u>
- First use the formula: C = 3.14d
- Replace the d value with 30 and solve the equation:
C = 3.14 x 30    ⇒   94.2477796077
- Then solve the equation again but 21 as the d value:
C = 3.14 x 21     ⇒   65.9734457254
- Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8