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3 years ago

Step 1: Subtract 3 from both sides of the inequality

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

Answer:

add 8x to both sides

Step-by-step explanation:

5-8x<2x+3

first step, subtract 3 from both sides:

2-8x<2x

second step,?

2<?x

so you need to add 8x first

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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth

kodGreya [7K]

Answer:

(a) ðz/ðt = 1500miles/hr

(b) 10minutes

Step-by-step explanation:

Let x rep plane one

Let y rep plane two

ðx/ðt = 1440miles/hr = speed of plane one

ðy/ðt = 420miles/hr = speed of plane 2

ðz/ðt = ? = rate of change of distance btw two plane moving at right angle to meet at point o...

See attachment

Since x² + y² = z²... equation 1

So therefore (240² + 70²) ^½= z = 250 miles = distance between two planes

Differential rate of equation 1 gives

(2x* ðx/ðt ) + (2y* ðy/ðt) = 2z* ðz/ðt

Substituting to get ðz/ðt

(2*240*1440) + (2*70*420) = 2*250*ðz/ðt

750000 = 500 ðz/ðt

ðz/ðt = 1500miles/hr

Since v = d/t where d = distance = 250miles

t = time = ? = time needed for controller to divert one of e planes , v = 1500miles/hr

t = d/v = 250/1500 = 10minutes

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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