Step-by-step explanation:
<em><u>Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton </u></em>
Answer:
-15.6 or -15 3/5
Step-by-step explanation:
To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3
In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL
Answer:
a = 28 / √2
Step-by-step explanation:
Isosceles triangle therefor a = b
use pythagorean theorem
a² + a² = c²
2a² = 28²
a² = 28² / 2
Take the square root of both sides
a = 28 / √2
9514 1404 393
Answer:
-135/14
Step-by-step explanation:
There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...
-67/7 = -9 4/7 = -9.571428... (repeating)
-78/8 = -9 3/4 = -9.75
So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.
If you like, you can convert these numbers to ones with a common denominator (56).
-67/7 = -536/56
-78/8 = -546/56
These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.
