Answer:
Option B is correct.
Reason:It is an argument
Step-by-step explanation:
Given: 
and 
By transitive property: a = b and b = c then, a =c
⇒
AB = EF [def of 
segment]
By Segment Addition Postulate states that given two points A and C, and a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation
AB + BC = AC.
Since, the line segment EG , F lies on the line segment;
then, by segment addition postulates we have;
EG = EF + FG
By substitution AB=EF
⇒ EG = AB + FG hence proved!
Since, in the fourth statement reason is: It is an argument
Answer:
1) -15+8i
2) x^2+2x-5
Step-by-step explanation:
1) apply perfect square formula
(4i)^2+2*4i1+1^2
then simplify
2)remove parentheses
x+1+(x-2)(x+3)
expand (x-2)(x+3)
x+1+x^2+x-6
simplify x+1+x^2-6 = x^2+2x-5
Answer:
Domain is all positive real numbers. Range is all real positive numbers.
Step-by-step explanation:
When dealing with real life, negative and imaginary numbers are not a possible answer.
First: f(2) is same as f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8
Second
f^(-1) (3) is inverse function. first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3
x=3
f^-1(3) = 16/3
Third
2y + 14 = 4y - 2
we just solve for y
2y = 16
y = 8
Now we take that f(x) = y because we both write to be the functions of x
that means that First and third have same result.
Answer:
1/4th
Step-by-step explanation:
This comes from knowing the unit circle in both radians and degrees. However, you could also calculate it from knowing that 360 degrees is 2
radians. What you'll find is that 
radians is 90 degrees, or 1/4th of the circle. This means that an arc measuring radians will be 1/4th of the entire circumference.
I hope this helps!
