Which set of side lengths could be used to make a triangle?

A. 5 cm, 8 cm, 2 cm

B. 13 cm, 15 cm, 30 cm

C. 22 cm, 8 cm, 27 cm

D. 2 cm, 15 cm, 18 cm

C. 22 cm, 8 cm, 27 cm

Step-by-step explanation:

In order to make a triangle with given side lengths, sum of any two side lengths must always be greater than the third side.

here,

22  + 8 = 30 > 27

8 + 27 = 35 > 22

27 + 22 = 49 > 8

Hence, C. 22 cm, 8 cm, 27 cm  is the correct option.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.