What is the geometric mean between 7 and 12

9.16515138991168 or 9.2/9.17

depends on the nearest decimal place the question asked you to answer in.

Step-by-step explanation:

to find the geometric mean of any two numbers,

you need to add both numbers

so 7*12 which is 84

then you would have to square the result

√84 = 9.16515138991168

or if rounded to one decimal place it would be 9.2.

Hope this helps:)

let,

a = 7

b = 12

then,

geometric mean = _/ab

= _/ 7×12

= _/ 84

=_/(9.16)^2

=9.16

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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.