Answer:
The modulus of the complex number 6-2i is:
Step-by-step explanation:
Given the number
We know that
where x and y are real and
The modulus or absolute value of z is:
Therefore, the modulus of will be:
Therefore, the modulus of the complex number 6-2i is:
Answer:
Step-by-step explanation:
Our equations are
Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is
Where
a= the coefficient of the
b= the coefficient of
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with
Hence we have two real roots for this equation.
Hence we do not have any real root for this quadratic
Hence D>0 and thus we have two real roots for this equation.
Hence we have one real root to this quadratic equation.
Answer:
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle
π is a constant whose value is 3.14
From the information given,
Radius = 6 cm
Therefore,
Circumference = 2 × 3.14 × 6
Circumference = 37.68 cm
The formula for determining the area of a circle is expressed as
Area = πr²
Area = 3.14 × 6² = 113.04 cm²
Answer:
5 times greater
Step-by-step explanation:
Slope of function 1 is 10
slope of function 2 is 2
10/2=5
12.3 or 12 3/10
4.5 + 7.8 = 12.3
or
4 10/20 + 7 16/20 = 11 26/20
11 26/20 can be simplified to 12 6/20 and further simplified to 12 3/10