Answer:
29
Step-by-step explanation:
conjugate of a+ib=a-ib
conjugate of 2-5i=2+5i
(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29
Answer:
0.9675sq.cm
Step-by-step explanation:
Find a related diagram attached
Area of the shaded region = Area of rectangle - area of semicircle
Area of rectangle = 3cm * 1.5cm
Area of rectangle = 4.5sq.cm
Given
diameter of the semicircle = 3cm
area = πd²/8
Area of the semicircle = 3.14(3)²/8
Area of the semicircle = 3.5325sq.cm
Area of the shaded region = 4.5 - 3.5325
Area of the shaded region = 0.9675sq.cm
Answer:
Step-by-step explanation:

We can observe that the function describing the graph is linear and so the equation is of linear nature:

Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:

Now our line has an equation,

Hope this helps.
Answer:
150+55w
Step-by-step explanation:
150+55w
150 never changes
(55)(w), 55 changes depending on number of weeks