Acord is cut into two pieces of different lengths. the sum of the two lengths is 10 centimeters, and the difference between the two lengths is 4 centimeters. find the lengths of the two pieces of cord.

Start with x+y=10 and x-y=4

Add the equations to eliminate y:

   x+y=10 

 + x-y=4 

  2x =14 

So now solve for x:

   2x=14    (Divide each side by 2 to get x by itself)

    x=7 

Now you have solved for x, but you still need to solve for y:

  x+y=10

 7+y=10    (Subtract 7 from both sides to get y by itself)

   y=3 

Now you have both x and y but to check it, just plug it into the original equations:

   x+y=10 >  7+3=10   (That's correct)

    x-y=4 >  7-3=4   (That's correct) 

Step-by-step explanation:

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.