Answer:
Answer B ![(-\infty,1)U(1,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C1%29U%281%2C2%5D)
Step-by-step explanation:
Notice that the quotient of f(x)/g(x) is:
therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:
So, this condition must be satisfied by the x-values of the domain.
Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:
Then, 
So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.
The way to represent this Domain is then:
The solution for equation is x = -6
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
Solve for terms in left hand side of equation
Move the variables to one side and constants to other side
Thus the solution for equation is x = -6
In scientific notation, it would be 2x10^3.
An easy trick to help remember when it is a multiple of 10 is that you do the numbers that aren't zero (2) times 10 and the exponent is how ever many zeros there are after the other numbers (3).
Answer:
b
Step-by-step explanation:
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so given
center at (9,-8)
(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²
input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r
well, the equation is
(x-9)²+(y+8)²=1000
