If you are asking to simplify, this is what I got. Hope I was able to help
You need to find the change in x and y
change in x = 12
change in y = 16
to find the distance you use a^2+ b^2 = c^2
or in this case x^2 + y^2 = d^2
144+256 = 400

=20
so distance equals 20
I hope this helps!
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.
Answer:
The formula is ⇒ 
Step-by-step explanation:
∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250
∵ (-3/10) ÷ (-1/2) = 3/5
∵ (-9/50) ÷ (-3/10) = 3/5
∴ It is a geometric sequence
∴ The formula is Tn = ar^(n - 1)
Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number
∴ Tn = -1/2 ( 3/5)^(n - 1)
∴
Answer:
1. x= -4
2. x= 7
Step-by-step explanation:
hope this helps :)