Answer:
2/3 or 3/2
Step-by-step explanation:
Let x represent the number. The given relation is ...
x +1/x = 2 1/6
x^2 +1 = (13/6)x
6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6
(6x -9)(6x -4)/6 = 0 . . . . factor
(2x -3)(3x -2) = 0 . . . . . . simplify a bit
x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero
The number is 2/3 or its reciprocal, 3/2.
Answer:
MN=9.1 cm
LM= 9.9 cm
Step-by-step explanation:
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
The factor pairs of a number when multiplied give the original number.
Therefore, all the factor pairs of 28 are:
The correct choice is the first one
