Answer:
Step-by-step explanation:
∠A and∠B being complementary means m∠A+m∠B=90°
m∠A = (4x+6)° and m∠B = (4x+4)°
so:
4x+6 + 4x+4 = 90
8x + 10 = 90
8x = 80
x = 10
m∠A = (4•10+6)° = 46°
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
