The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.

So we have

y = 3x + 2

-3x + 1y = 2

Swapping and negating gets the perpendiculars; the constant is as yet undetermined.

1x + 3y = constant

Since we want to go through (0,2), we could have just written

x + 3y = 0 + 3(2) = 6

3y = -x + 6

y = (-1/3) x + 2

Third choice

5 0

3 years ago

1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a.

Oduvanchick [21]

Each row has two more boxes than the row above. The first row has one box

The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
$a_{n} = a+(n-1)d$
The sum of n terms is
$S_{n} = \frac{n}{2}(a_{1} + a_{n})$

Answer:
The table will have the following:

Row Number: 1 2 3 4 5 6
Boxes in the row: 1 3 5 7 9 11
Total boxes in the display: 1 4 9 16 25 36

8 0

3 years ago