Answer:
14
Step-by-step explanation:
multiples are the list of number that can be multiplied by a certain number.
list the multiples
make a chart
1 × 7 = 7 (odd)
2 × 7 = 14 (even)
the first even multiple is 14 (2×7)
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
Step-by-step explanation:
![A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\](https://tex.z-dn.net/?f=A%20%3D%28125%5E%7B2%7D%20%2B%2025%5E%7B2%7D%20%29%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%5B%285%5E%7B3%7D%29%5E%7B2%7D%20%20%2B%20%285%5E%7B2%7D%29%5E%7B2%7D%20%5D%20.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%285%5E%7B6%7D%20%20%2B%205%5E%7B4%7D%20%29.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%5B5%5E%7B4%7D%20.%20%28%205%5E%7B2%7D%20%20%2B%205%29%5D.%285%5E%7B2%7D%20-%201%29%20%5C%5CA%20%3D%205%5E%7B4%7D%20.%20%2825%2B%205%29.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%205%5E%7B4%7D%20.%2030.%20%285%5E%7B2%7D%20-%201%29%5C%5C)
Since 30 is divisible by 3
Thus, A is divisible by 3
Good luck!
Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
9514 1404 393
Answer:
Step-by-step explanation:
If the square starts as n rows of n columns, adding another row of n columns will make a rectangle with dimensions n+1 rows by n columns.
__
The total number of tiles in the rectangle is said to be ...
n(n+1) = 2256
n^2 +n +1/4 = 2256 1/4 . . . complete the square
(n +1/2)^2 = (47 1/2)^2 . . . . rewrite as squares
n = 47
