Step-by-step explanation:
this simply means that the sum of both short segments must be the same as the length of the whole line.
so,
x + 6 + x + 8 = 10
2x + 14 = 10
x + 7 = 5
x = 5 - 7 = -2
I got x < 2 for the inequality
Look at the image for more information
(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24
Working is attached: 2x^3 - 4x^2 + 5x - 6 remainder 3
R^2+2r-33=0 move constant to other side by adding 33 to both sides
r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one
r^2+2r+1=34 now the left side is a perfect square...
(r+1)^2=34 take the square root of both sides...
r+1=34^(1/2) subtract 1 from both sides
r=-1+34^(1/2) and -1-34^(1/2)