Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = 
Here,
and

Therefore, distance, d = 



= 10 units.
Hence, the answer.
Answer:
-72
Step-by-step explanation:
Sum is adding so I just did substitution for this. 26+-72=-46 because a positive plus a negative equals a negative.
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

And now, solving for x = 9 we have:

b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

c) 
Using the same property we used in a) we have:

And now, solving for z = 16 we have:

Answer:
Step-by-step explanation:
The odd numbers.
Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.
If you need a more mathematical proof, you could do it this way.
2x+1
2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number
So continue on
2y + 1 is the other number.
2x + 1 + 2y + 1 = 2(x + y) + 2
2 (x + y ) is even. When you add 2 to it, nothing changes. The result is still even.
Picture?? This question is incomplete just get a picture then I can answer it