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Dmitry_Shevchenko [17]
3 years ago
7

A plane flies over city A and reaches city B, 115 miles away, in 15 minutes. Find the speed of the plane in miles per hour assum

ing the plane flew at a constant speed.
A. 300 mph
B. 460 mph
C. 600 mph
D. 680 mph
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0
So you want to find how many miles are being flown in one hour.

There are 60 minutes in one hour so you want to find how many times 15 goes into 60 so you can then multiply that by 115.


60 / 15 = 4.

Now multiply 115 by 4,

115 x 4 = 460


Therefore the plane is flying at B. 460 mph.

Hope I helped!

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Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
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<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
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