A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
Therefore when y= 16,
15x^2y^3=3*5*x*x*y*y*y
-20x^3yz=-1*2*2*5*x*x*x*y*z
comon numbers are
5,x,x,y
greatest common factor is 5x^2y
Let's say Miles Carlos drove = x and taook time = t1
Miles <span>Maria drove = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
t1 + t2 = 4.4
However, speed = distance / time
for Carlos, 55 = x / t1
for Maria, 50 = y / t2
</span><span>x + y = 233
</span><span>55 t1 + 50 t2 = 233
</span><span>t1 + t2 = 4.4
</span>50 t1 + 50 t2 = 220
5 t1 = 13
t1 = 2.6 hrs for Carlos
t2 = 1.8 hrs
Therefore Maria drove 4.4 hrs
