(04.04 MC) Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)? x squared over 16 minus y squared over 4 equals 1 x squared over 12 minus y squared over 4 equals 1 y squared over 16 minus x squared over 4 equals 1 y squared over 12 minus x squared over 4 equals 1

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

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.

Talia grouped the terms and factored out the gcf of the groups of the polynomial 15x2 – 3x – 20x + 4. her work is shown below. (15x2 – 3x) + (–20x + 4) 3x(5x – 1) + 4(–5x + 1) talia noticed that she does not have a common factor. what should she do?