(Solved): please help me asap!! please answer all the questions!! will thumbs up!! thank you!!! i need help AS ...

3) Verify that the points \( A(0,0), B(x, 0) \), and \( C(0, x) \) make up the vertices of an isosceles right triangle (an isosceles triangle has two sides of equal length). (4) Explain how to find the \( x \)-and \( y \)-intercepts from an equation in the variables \( x \) and \( y \). (5) A radar transmitter on a ship has a range of 20 nautical miles. If the ship is located at a point \( (232,40) \) on a map, write an equation for the boundary of the area within the range of the ship's radar. Assume that all distances on the map are represented in nautical miles. (6) What are the advantages of writing an equation of a circle in standard form? (7) Suppose that a roll of wire has \( 200 \mathrm{ft} \). Write a relationship that represents the amount of wire remaining \( w(x) \) as a function of the number of feet of wire \( x \) already used. (8) If two points align vertically then the points do not define \( y \) as a function of \( x \). Explain why. (9) Given \( f(x)=-x^{3}+4 \), determine the average rate of change of the function on the interval \( [2,4] \)