Apoint has coordinates a-(1,4). find the coordinates of its image if its translated by (x + 2, y - 1)

a. a'(1, 3)
b. a'(-3, 5)
c. a'(-2, 3)
d. a'(2, 0)

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

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 (%).

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2