An isosceles triangle has two sides of equal length. the third side is 7 less than twice the length of one of the other sides. if the perimeter of the triangle is 44 cm what is the length of the third side ?

Length of the third side is 18.5 cm

Step-by-step explanation:

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one side of the other side.

Let two equal side of the isosceles triangle = x cm

and third side = y cm

Then y = ( 2x - 7 ) --------(1)

Perimeter of the triangle is 44 cm

then x + x + y = 44

2x + y + 44 -----------(2)

Now we substitute the value of y from equation (1) to equation (2)

2x + ( 2x - 7 ) = 44

4x - 7 = 44

4x = 44 + 7

4x = 51

x = = 12.75 cm

Now we put x = 12.75 in equation (1)

y = 2(12.75) - 7

  = ( 25.5 - 7 )

  = ( 18.5 )cm

Therefore, length of third side is ( 18.5 ) cm.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation: