In a rectangular form of a complex number, where a + bi, a and b equates to the location of the x and y respectively in a complex plane. The modulus |z| is the term used to describe the distance of a complex number from the origin. Hence, |z| = √(a²+b²)
Answer:
Step-by-step explanation:
Unfortunately, you have not shared function g(x). But I can focus on questions involving function f(x) alone:
A: We can find the x-coordinate of the minimum of f by calculating x = -b/(2a). Here that comes out to x = 5/2*1) = 5/2. This does not agree with A. A is FALSE.
B: Function g(x) unknown; cannot answer this.
C: The y-intercept of function f(x) is 6. That of g(x) is unknown.
D: The y-intercept of function f(x) is 6. That of g(x) is unknown
Move all terms to the left side and set equal to zero. Then set each factor equal to zero. Exact form:
X=0,1/5
Decimal form:
X=0,0.2
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
3a
Step-by-step explanation:
9/3 = 3

b / b = 1
3 x a x 1 = 3a