Ahyperbola centered at the origin has a vertex at (-6,0) and a focus at (10,0). what are the directrices?

Karl needs to build a stage that has an area of 72 square feet.the length of the stage should be longer than the width.what are the possible whole number measurements for the length and with of the stage complete the table with possible measurements of the stage

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height