Find the tangent to a + y = 5 and parallel to 2x - y - 4 = 0. O 2x + y + 5 =0; 2x+y -5 =0 O 2x - y + 5 =0; 2x-y - 5 =0 O None of the choices 0c-y+5=0; 0-y-5=0 O 2x - 3y + 5 =0; 2x - 3y -5 = 0A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s. The diameter of the dome is 100 m. A searchlight was placed at the circumference of the dome at the base. How fast is the shadow of the balloon moves along the roof when the balloon is 30 m high? O None of the choices 125/17 m/5 145/17 m/s O 32/5 m/s 105/17 m/sA spherical scoop of vanilla ice cream sits on top of a waffle cone. The diameter of the ice cream sphere is 10 cm while the waffle cone has a diameter of 10 cm at the top and a height of 20 cm. If the ice cream melts at rate of 1.08 cm per second and drips to the waffle cone, how fast is the height of melted ice cream in the cone rising when the cone is 10% full? 1.22 mm per second 1.62 mm per second O 0.41 mm per second O 0.64 mm per secondTwo cars started at the same point but at different times (of the same day) and at different speeds. Car A left at 9:00 am, travelled west at a speed of 30 kph. Car B left the same point at 12 noon and travelled north at 45 kph. Find how fast the two are separating at 2:00 pm. O 75.89 kph O 48.88 kph O None of the choices O 56.72 kph O 65.45 kphA balloon, leaving the ground 60 ft from an observer, rises 10 ft/5. How fast is the angle of elevation of the line of sight increasing, after 8 sec? 3/50 rad/sec O None of the choices 1 rad/sec O 1/6 rad/sec O 50/3 rad/sec