Answer:
6 miles
Step-by-step explanation:
The distance formula is expressed as;
D = √(x2-x1)²+(y2-y1)²
D = √(2-4)²+(8-2)²
D = √(-2)²+(6)²
D = √4 + 36
AD = √40
AD = 6.32
Hence the approximate distance between the library and the mall is 6 miles
Answer:
Does 2⁸ = (3√16)⁶? No.
Step-by-step explanation:
2⁸ = (3√16)⁶
Evaluate 2⁸. This can simply be written out as:
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
4 * 2 * 2 * 2 * 2 * 2 * 2
8 * 2 * 2 * 2 * 2 * 2
16 * 2 * 2 * 2 * 2
32 * 2 * 2 * 2
64 * 2 * 2
128 * 2
256.
256 = (3√16)⁶
Evaluate √16.
256 = (3*4)⁶
Multiply 3 and 4.
256 = 12⁶
Evaluate 12⁶. This can be rewritten as:
12 * 12 * 12 * 12 * 12 * 12
144 * 12 * 12 * 12 * 12
1728 * 12 * 12 * 12
20736 * 12 * 12
248832 * 12
2985984.
Since 256 ≠ 2985984, the answer to this question is no.
3 times 3 times 2 equals 18