On a coordinate plane, a line goes through (negative 4, 0) and (0, 2). The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.

y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.

Afarmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. each bag of soil covers 20 square yards. how many bags should the farmer purchase? (4 points) 1 bag 2 bags 3 bags 4 bags

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?