Answer the following questions. Be sure to work out and explain all steps on your own paper as you determine the equation, the center, and the type of conic section (a circle, parabola, ellipse, or hyperbola) in each of the given equations. 20 points each. 1. x2+y2-6x+10y+24=0

2. 9x2+162+36x-32y-92=0

3. y2-6y-x+16=0

4. x2-y2-2x-4y-4=0

5. x2+y2-8x+2y+13=0

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?

Construct a box plot to represent the ages of the actors in a play. step 1: arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28