A large equilateral triangle has sides 1m and a smaller equilateral triangle has sides x m, 0≤x≤1. They are positioned as pictured so that the top side of the large triangle and the bottom side of the small triangle is parallel. Find the length x that maximizes the area of the intersection of the two triangles.

Which of the following expressions is equal to 2x^2+8

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126

Ahiker stands at an unknown elevation before he ascends 2 miles up a mountain to an elevation of 9 miles. find the elevation of the hiker before his ascent.