Answer:
Step-by-step explanation:
Slope Formula: 
Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:
For this case we have to:
"two to the third power" is equivalent to the algebraic expression: 
Therefore, we can rewrite the expression given as:
Thus, the value of the initial expression is: 4
Answer:
I have finished doing my calculations and i think my answer may be correct but i got 6
Answer:
9) 496 cubic unit
10)10.94
Step-by-step explanation:
in question 9, req volume will be (volume of cube of lenght 10 - that of hole)
hole can be divided into 5 parts,in which 4 have same dimension 6×6×2,and middle part is cube of dimension 6×6×6, total volume will be 4(6×6×2)+6×6×6
=504 cubic.unit
volume of larger cube is 10×10×10=1000 cubic unit
req answer is 1000-504 cubic unit
=496 cubic unit.
10) the ant should walk diagonally to cover minimum distance to reach from A to B, the shortest distance will be when the ant cover the height of lenght 2,then diagonally btwn 4×8, i.e, by using Pythagorean theorem √(16+64)=8.94
now total will be 8.94+2=10.94, it's the shortest possible distance so far!
I'll update each part after solving... wait!
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
