If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.
Answer:
(15,16)
Step-by-step explanation:
C=halfway between A to B
A to B on the x axis goes across by 24
24/2 =12
3+12=15
A to B on the y axis goes up by 28
28/2 = 14
2+14=16
(15,16)
The lcm of 6 and 18 is C.)18
Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
Average rate= change in alt / change in time
r=-378/7=-54ft/min
