Answer:

Step-by-step explanation:
Given

Required
Calculate one of the root of the equation

Factorize


Split equation

Make x the subject of formula in both expressions


<em>From the list of given options, one of the roots of the equation is</em> 
Because you are using the format y = mx +c the c value is the y offset.
in this equation the equation can be rewritten as y = 1x -3
Thus the y intercept, the y offset, must be -3.
Hope this helps! :)
We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
Answer:
QUT
Step-by-step explanation: