Answer:
The real and imaginary parts of the result are 
and 
, respectively.
Step-by-step explanation:
Let be 
, the following expression is expanded by algebraic means:
If 
, then:
Then, the variable is substituted in the equation and simplified:
The real and imaginary parts of the result are and , respectively.
Answer:
The area of the triangle is 28 square units
Step-by-step explanation:
First we have to calculate the length of the base of the triangle and the length of the height
To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)
(7 , 2) - (-1 , 2) = ((7 - (-1)) , (2 - 2)) = (8 , 0)
because it has no component in y this means that the length of the base is 8
b = 8
To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)
(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)
because it has no component in x this means that the length of the base is 7
h = 7
To calculate the area of a triangle we have to multiply the base by the height and then divide it by 2
a = (b * h)/2
a = (8 * 7)/2
a = 56/2
a = 28
The area of the triangle is 28 square units
Answer:
x = 27
Step-by-step explanation:
t - 11
Set up the equation using some key words, 11 less than a number means that 11 is being subtracted from the number, which is t, a variable.
Answer:
1. 1:4 - 1/4 - 25%
2. 3:5 - 3/5 - 0.6 (simplified version)
6:10 - 6/10 (unsimplified)
Step-by-step explanation:
