Answer:
y² = x² - z²
Step-by-step explanation:
x² - y² = z²
Transpose y the other side
x² - z² = y²
or
y² = x² - z²
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.
Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:

Which has the following solution:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that
. We use this to find r.







So

Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So







The half-life of the radioactive substance is 135.9 hours.
Rearrange: 3 + x + 1 -(2) = 0
Solve: x + 2= 0
So the value of "x" is -2
2 - 5x = -13
-2 -2
---------------
-5x = -15
/-5 /-5
-------------
x = 3
Hope this helps!