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
When you multiply or divide in scientific notation, you just add or subtract the exponents. When you add or subtract in scientific notation, you have to make the exponents the same before you can do anything else.
The answer should be 6z + 54 but I’m not completely positive.
For every second the water runs it rises 15 mm and the slope of the graph is 15.
Well slope intercept form is y = mx + b. We can plug in those values to find b.
1 = 2(-6) + b
1 = -12 + b
13 = b
so the formula for that line is y = 2x + 13