Answer:
[-1,3]
Step-by-step explanation:
 
        
             
        
        
        
The area of the original polygon is:
 A = 225 m ^ 2
 The similar polygon area is:
 A '= (k ^ 2) * (A)
 Substituting values:
 3 * 225 = (k ^ 2) * (225)
 Clearing k we have:
 k ^ 2 = 3
 k = (3) ^ (1/3)
 Answer:
 The length of each side increased by:
 k = (3) ^ (1/3)
        
             
        
        
        
Answer:
x = ± 
Step-by-step explanation:
Given
y = x² + 7 ( subtract 7 from both sides )
y - 7 = x² ( take the square root of both sides, thus
x = ± 
 
        
             
        
        
        
Answer:
a) P = 2/7
b) P = 4/7
c) P = 1/7
Step-by-step explanation:
In the range of [2,8], we have the following integers which are: 2, 3, 4, 5, 6, 7, 8. So this is a total of 7 integers.
a) We look for the probability that the numbers are less than 4, so we conclude that there are possible numbers 2 and 3 out of possible 7, so the required probability is equal to P = 2/7.
b) We look for the probability that the numbers are greater than 4, so we conclude that there are possible numbers 5, 6, 7, 8 out of possible 7, so the required probability is equal to P = 4/7.
c) Based on the previous two examples, we conclude that the required probability is P = 2/7· 1/2=1/7. 
 
        
             
        
        
        
Step-by-step explanation:
13×4/9=52/9
answer as improper fraction is 52/9