The scale factor between two figures is 2: 5 if the smaller figure has a side length of 4, what is the corresponding side length in the larger figure

10

Step-by-step explanation:

2/5

4/X

2x2=4

5x2=X

5x2=10

1) the types of number are the negative integers (e.g  √-1  √-3  √-5 are not defined)2) the answer is no, proof:   2x√-1 is not defined because  √-1 doesn't exist3) the answer is no, proof:   √-1 - 3 is not defined because  √-1 doesn't exist4) the answer is yes, proof: (√-1 )²=   -1  this is a real number5) the answer is no, proof:   (√-1 )^3=   (√-1 )²(√-1 )= - 1(√-1 ), and -  1(√-1 ) is not defined because  √-1 doesn't exist6) the result would be defined with the following cases:     √-1+n,   n> 1      √-1xn,   n< 0      √-1/n,   n< 07) the result would not be defined with the following cases:     √-1+n,   n< 0    √-1xn,   n> 0      √-1/n,   n> 0  8) to square  3 + √-1, i use the method of complex number  i²= -1, it implies i=  √-1  so 3+√-1=3+i,   and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1  9) it is used for finding complex roots of a number