Question

If the perimeter of a triangle formed by the
straight line 4x+ 3y = -k with x and y axis is 24 unit,
then find the value of k.​

Answer 1

Answer:

Step-by-step explanation:

=|k|(16+9)/(16(9))−−−−−−−−−−−−−√=|k|25/144−−−−−−√=|5k/12|  

The perimeter is 24:

|k/3|+|k/4|+|5k/12|=24

The arguments to the absolute value are all the same sign so we can write this:

k/3+k/4+5k/12=±24

k=±2413+14+512=±2412/12=±24✓