Expert Help with High School Geometry

The value of the operation $[9]+[8]\in$ ${\displaystyle Z_{13}}$ and to write the answer in the form [r] with ${\displaystyle 0\le r<m}$.

$f(x)=\frac{-1}{3(x+1)}+1$
Domain and range?
Transformations?
Name of Graph?

The value of the operation [5][12] in ${\displaystyle Z_8}$ and to write the answer in the form [r] with ${\displaystyle 0\le r<m}$.

The value of the operation [8]+[6] in ${\displaystyle Z_{12}}$ and to write the answer in the form [r] with ${\displaystyle 0\le r<m}$.

Given:
Circle: $r=24m$
$C=?$

Identify the center and ydius of each. ${\displaystyle 4x^2-16x+y^2-8y=1}$

The volume of a sphere is $5,572.45{\in }^3$ To the nearest inch, what is the radius of the sphere?

What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

A)${\displaystyle \mathrm{\angle }BAC\stackrel{\sim }{=}\mathrm{\angle }DAC}$
B)${\displaystyle \overline{AC}\stackrel{\sim }{=}\overline{BD}}$
C)${\displaystyle \mathrm{\angle }BCA\stackrel{\sim }{=}\mathrm{\angle }DCA}$
D)${\displaystyle \overline{AC}\stackrel{\sim }{=}\overline{BD}}$

The point (1, $\sqrt{3}$) lies on the circle that is centered at the origin and contains the point (0,2). Prove or disprove that.