Archaeologists find three scattered bones from a dinosaur and map their location in a coordinate plane. They want to find the best location to look for more bones. Plot the point that is equidistant from all three bones.

Chinara starts with the point (3, 5), and applies the following three-step process, which we call P:Step 1: Reflect the point in the x-axis.Step 2: Translate the resulting point 2 units upwards.Step 3: Reflect the resulting point in the y-axis.As she does this, the point (3, 5) moves to (3, −5), then to (3, −3), and then to (−3, −3).Chinara then starts with a different point S0. She applies the three-step process P to the point S0 and obtains the point S1. She then applies P to S1 to obtain the point S2. She applies P four more times, each time using the previous output of P to be the new input, and eventually obtains the point S6(−7, −1). What are the coordinates of the point S0?

It is just homework

A cable car is to be built up the side of a hill. The coordinates of the bottom end of the cable are A(1,3,2), while the coordinates of the top end of the cable are B(5,3, 26). A tower is to be placed at P, 1/4 of the way from the bottom of the cable. Find the coordinates of the point on the cable where the tower will be placed.

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine        the equation ofthe locus of a point P on the rod, which is 3 cmfrom  the end in contact        with the x-axis.

Find the angle of inclination of the straight line whose equation is y = x + 32 O 30 degrees O 60 degrees 45 degrees O 90 degrees

Find the equation of perpendicular bisector of the line segment joining the points A(2,3) and B(6,-5).