Simplify
5 - 2i + 3 + 4i - (-6 + 2i)
Simplify brackets
5 - 2i + 3 + 4i + 6 - 2i
Collect like terms
(5 + 3 + 6) + (-2i + 4i - 2i)
Simplify
<u>= 14</u>
Answer:
In 286 different ways 10 players can be selected.
Step-by-step explanation:
There are 6 girls and 7 boys in a class. So in total there are 6+7 = 13 number of students in the class.
A team of 10 players is to be selected from the class.
As there is no other conditions are given, we can pick any 10 students from 13 students.
The way we can select 10 players from 13 students is;
= (13 10)
= 13!/10!(13-10)!
= 13!/10! 3!
= (13 × 12 × 11 × 10!)/ 10! 3!
= ( 13 × 12 × 11)/6
= 286
Answer:
Y=40
Explanation:
Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.
6:30 = 8:40
or
30/6= 5
Y/8= 5
Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.
Answer:21.99
Step-by-step explanation: Given diameter of a circle is(d)=7cm.
Now, we know that circumference of circle is =πd, where d is diameter of circle.
So, here circumference is = π×7cm
= 22/7 x 7 cm
Circumference = 22cm
