The graph of a line has a slope of 2 and passes through the point (–6, –5). what is the equation of the line in point-slope form?

y – 6 = 2(x – 5)

y – 5 = 2(x – 6)

y + 6 = 2(x + 5)

y + 5 = 2(x + 6)

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.