(2sinx+3cosx)²+(3sinx-2cosx)²=13 prove plz

Free 100 points to whoever says “oof the porridges” if it’s not exact, your answer will be reported, first person gets brainliest

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg