1. Solve for x in the equation provided (equation missing, please provide specific equations for precise solution). 2. Solve for x in the equation provided (equation missing, please provide specific equations for precise solution). 3. Solve for x in the equation provided (equation missing, please provide specific equations for precise solution). 4. Find the distance between points (8,3) and (10,15). Use the distance formula: $$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ Substitute values: $$d=\sqrt{(10 - 8)^2 + (15 - 3)^2} = \sqrt{2^2 + 12^2} = \sqrt{4 + 144} = \sqrt{148} = 2\sqrt{37}$$ 5. Find the midpoint between points (7,5) and (6,10). Use the midpoint formula: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ Substitute values: $$M = \left( \frac{7 + 6}{2}, \frac{5 + 10}{2} \right) = (6.5, 7.5)$$ 6. Write the equation of the circle in standard form given center and radius. a. Center (0,0), radius $r=18$. Standard form: $$ (x - 0)^2 + (y - 0)^2 = 18^2 $$ Simplify: $$x^2 + y^2 = 324$$ b. Center (-6,5), radius $r=21$. Standard form: $$ (x + 6)^2 + (y - 5)^2 = 21^2 $$ Simplify: $$ (x + 6)^2 + (y - 5)^2 = 441$$ 7. Identify center $(h,k)$ and radius $r$ from the equation. a. Equation: $$x^2 + y^2 = 144$$ Rewrite as $$ (x - 0)^2 + (y - 0)^2 = 12^2 $$ Center: $(0,0)$, Radius: $12$ b. Equation: $$(x - 8)^2 + (y + 10)^2 = 25$$ Center: $(8,-10)$, Radius: $5$