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Ivahew [28]
3 years ago
8

The original price of a plane ticket was reduced by $150.

Mathematics
2 answers:
Zolol [24]3 years ago
8 0
C
price - 150 dollars = discounted price
TEA [102]3 years ago
3 0
C, p (the original price) - 150 (the discount) = the reduced price
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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

B.

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

4 0
3 years ago
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What is x?<br> 7(x – 5) = 9x – 3
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Answer:

x = -16

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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= 15

hopefully this helped you :)

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A circle has the equation x^2+y^2+x-6y+9=0. Find the center and any x or y intercepts.
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We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4
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