That is the definition of a irrational number, A rational number must be able to be written as a ratio of 2 integers. The denominator cannot be 0, because that would make the number undefined
We know that
if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V
Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³
therefore
for V=84 cm³
T=3150/84=37.5 °C
the answer is 37.5 °C
Answer:
The correct answer will be "
".
Step-by-step explanation:
The given expression is:
= 
By applying multiplication, we get
= 
= 
Thus, the above is the lowest form.
First you need to find the slope
Y2-y1/x2-x1
3-6/0-(-1)
-3/1
Slope is -1 , use a point to find b
3=-1(0)+b
3=b
The equation is
Y=-x+3
Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>
The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:

<h3>polar form</h3>
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
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modulus∠argument = (3√2)∠(-3π/4)