Answer: 8 units (7.81 Units without rounding)
Work: To get this answers, you need to know the Pythagorean Theorem. The Pythagorean Theorem is a² + b² = c² (c² being the length you need to find) After you find the answer, you have to square it, and after squaring it, you get the missing length. So, let's plug in the numbers. 5² + 6² = 61. Now we need to √61. After doing so, you get 7.81024..., and if you round half way, you get 7.81 units. But preferably, I like to round fully, and you get 8 units.
<em>I hope this helps, and Happy Holidays! :)</em>
<h3>
Answer: Shift the graph of g(x) up 5 units</h3>
Reasoning:

We see that f(x) = g(x)+5. Whatever the output of g(x) is, we add on 5 to get the output of f(x). The input is x, while the output is y. Adding 5 to the y output is what shifts every point on g(x) up 5 units to move the entire curve up 5 units.
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Unusual question. 4/5 = 0.8, which is NOT a repeating decimal; it's a rational fraction.
4(b - 6) + 19 # Starting equation
4b - 24 + 19 # Using the distributive property
4b - 5 # Simplified expression