Answer: x=6
Step-by-step explanation:
The length is 32 and the width is 1. 32÷2 is 16. 16-15 is 1. 32+32+1+1 is 66
Answer:
5 days
Step-by-step explanation:
If you write it out it will look like this 8 1/2÷1 7/10
since you can't divide mixed fractions very easily, you make them improper fractions. 8 1/2 -> 17/2 1 7/10 -> 17/10
So it looks like 17/2÷17/10
because of maths you have to turn 17/10 into 10/17
And when you do the maths (multiply it together) you get 5
5X10=50 sq ft area
Around the 3 sides= 5+10+5=20
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
