The center of a hyperbola is (−2,4), and one vertex is (−2,7). The slope of one of the asymptotes is 1/2. What is the equation of the hyperbola in standard form?

Measure of angles 31 (x+4) (3x+9) me

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Find the value of the variable and the length of each chord for #5 and #6.