Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 10 2l + 2w ≤ 150 On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 10. Everything above the line is shaded. The second line has a negative slope and goes through (0, 75) and (75, 0). Everything to the left of the line is shaded. Which length and width are possible dimensions for the garden? l = 20 ft; w = 5 ft l = 20 ft; w = 10 ft l = 60 ft; w = 20 ft l = 55 ft; w = 30 ft

In option a, w < 10

in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.

Step-by-step explanation:

ian gone lie this got me confused

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.