If the perimeter of a square is 16a + 20ab inches, then that means that:
1) s + s + s + s = 16a + 20ab
2) s² = 16a + 20ab
Where s represents one side of a square.
Factoring the expression 16a + 20ab. We can factor this binomial using the greatest common factor. What do both terms 16a and 20ab have in common? Theyre both divisible by 4a. So, we can factor out a 4a from the expression.
16a + 20ab
= 4a(4 + 5b)
The expression 4 + 5b does not represent the length of one side of the square. Why? Because if we multiply 4 + 5b by itself, we will not get 16a + 20ab.
(4 + 5b)(4 + 5b)
= 16 + 20b + 20b + 25b²
= 16 + 40b + 25b²
We can, ultimately, determine the length of one side of the square by dividing the expression by 4.
16a + 20ab / 4
= 4(4a + 5ab) / 4
Cancel out the 4 from the numerator and denominator.
= 4a + 5ab
Check to see if the expression will get you 16a + 20ab.
= (4a + 5ab)(4)
= 16a + 20ab
50 is the mean because you add all the diameters then divide by 8
3x + 1 = y
x: 1 | 2 | 3 |
------|---|--- |----------------
y: 4 | 7 | 10|
so make points at (1,4) (2,7) and (3,10), and connect them to get the line
4x + 1
x: 1 | 2 | 3
----------------
y: 5 | 9 | 13
Make points at (1,5) (2,9) and (3,13)
IF they do not intersect yet, continue making points until they intersect. Make note of the point in which they intersect, and that is your answer
hope this helps
Since you requested I answer this, I will do my best, but I'm not sure I can explain it well.
45° clockwise from due east is just 45° from the east. Moving clockwise, which is the direction the hands of a clock move, you're going to the south, and since it's by 45°, you're halfway between east and south, so you're southeast.