Answer:
x = 2
Step-by-step explanation:
Here, we want to find the value of x
(m^5/6)(m^1/6)^7 = m^x
= (m^5/6)(m^7/6) = m^x
Using the law of indices for power multiplication
m^(5/6 + 7/6) = m^x
m^(12/6) = m^x
m^2 = m^x
we simply equate the powers in this case since the base are equal
Thus we have
x = 2
Answer:
B
Step-by-step explanation:
Just move point D over 6 and down 10
The distance between the points (10,7) and (2,7) is
8.
Answer:
49
Step-by-step explanation:
Let x represent the length and y represent the width of the given rectangle. The perimeter of the rectangle will be:
Perimeter = 2(x + y)
32 = 2(x + y)
16= x + y
This means, the sum of length and width of the rectangle can be 16. Since only whole number side lengths are allowed, following are the possibilities:
- Side Lengths: 15, 1 Area = 15
- Side Lengths: 14, 2 Area = 28
- Side Lengths: 13, 3 Area = 39
- Side Lengths: 12, 4 Area = 48
- Side Lengths: 11, 5 Area = 55
- Side Lengths: 10, 6 Area = 60
- Side Lengths: 9, 7 Area = 63
- Side Lengths: 8, 8 Area = 64
Hence the largest possible value of Area is 64 and the least possible value is 15. The difference is 64 - 15 = 49
