If using the method of completing the square to solve the quadratic equation x2 + 3x + 21 = 0, which number would have to be added to "complete the
square"?

(x-5)1/2+5=2 what is a possible solution?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.