Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
 
        
             
        
        
        
Answer:
14
Step-by-step explanation:
We see that MP and PL are congruent, as are MQ and QN. Using scale factors, we can conclude that the scale factor from MP to ML is 1:2. 
Based on SAS similarity, MPQ and MLN are similar, so their sides are proportional. 
 
        
             
        
        
        
Answer:
   (x -1)² +(y -4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is ...
   (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
The graph shows your circle has its center at (1, 4) and its radius is 5. Then the equation is ...
   (x -1)² +(y -4)² = 25
 
        
             
        
        
        
Answer:5
Step-by-step explanation:
3^2+4^2=c^2
9+16=c^2
25=c^2
 =c
=c
5=c
 
        
             
        
        
        
Answer:
Step-by-step explanation:
m∠JXM + m∠NXP = 180° - m∠MXN = 90°