<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be .
Given, sum is , difference is and product is .
⇒
⇒
Hence, all three equations are consistent yielding the complex numbers .
Answer:
6895ft
Step-by-step explanation:
Given data
The coordinates
City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2
Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8
Required:
the distance between the two points
Applying the Pythagorean theorem as
we can find the distance by substituting the given point coordinates
in feet, we are told that a unit is 500 ft
then 13.79 will be 500*13.79
=6895.107ft
=6895ft
Answer:
d. not a real number
Step-by-step explanation:
it is not a real number because theres a negative under root
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
(1)
f(x) + g(x) = 3x + 2 + 2x + 5 = 5x + 7
f(x) - g(x) = 3x + 2 - 2x - 5 = x - 3
(2)
f(x) + g(x) = 4x - 1 + 3x - 4 = 7x - 5
f(x) - g(x) = 4x - 1 - 3x + 4 = x + 3
(3)
f(x) + g(x) = - 5x + 3 + 2x - 4 = - 3x - 1
f(x) - g(x) = - 5x + 3 - 2x + 4 = - 7x + 7
(4)
f(x) + g(x) = 3x - 4 - 2x + 3 = x - 1
f(x) - g(x) = 3x - 4 + 2x - 3 = 5x - 7
(5)
f(x) × g(x) = - 2(- x + 7 ) = 2x - 14
(6)
f(x) × g(x) = - 5(2x - 7) = - 10x + 35