let nwmber to be X
the number is 12 less than it's square,
so X=12-X^2
=> X^2+X-12=0
=> (X+4)(X-3)=0
=>X= 3, or X=-4
in math we don't usually take negative numbers into account so your number would be 3
To solve this problem, first let x=0.933333(repeating). Then, you want to multiply both sides by 10 to get 10x = 9.33333 (repeating). Next, take equation 2 and minus equation 1 from it giving you 9x = 8.4. Finally, multiply both sides by 10 and you will get 90x = 84. Divide both sides by 90 giving x=84/90. Answer is 84/90. 84/90 can reduce to 14/15.
The arc length will be given by:
C=Θ/360πd
where:
Θ=45
d=8*2=16 in
hence;
C=45/360*π*16
=6.3 inches
To shift a graph down by two units, -2 must beg added to the function.
Since g(x)=0.5x-k already, k=2, because it is already specified that the constant will be subtracted.