An airplane travels 460 miles from San Diego to San Francisco in 2.5 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind. I just need the wind rate. the first answer is 207,
the answer could be either
11.5 mi/H or 23 mi/H

distance=rate times time

distance=460

rate-wind=rate against wind

rate+wind=rate with wind

2.5=time aginst wind

2=time with wind

so

460=(rate-wind) times 2.5

and

460=(rate+wind) times 2

solve for rate

460=(rate-wind) times 2.5

divide both sides by 2.5

184=rate-wind

460=(rate+wind) times 2

divide by 2

230=rate+wind

we have

184=rate-wind

230=rate+wind

add them

184=rate-wind

230=rate+wind +

414=2rate+0wind

414=2rate

divide by 2

207=rate

answer is 207 miles per hour.

Step-by-step explanation: I hope this helps! :)

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: