Answer:
- 9x² - 36x - 27
Step-by-step explanation:
9 - (3x + 6)² ← expand using FOIL
= 9 - (9x² + 36x + 36) ← distribute parenthesis by - 1
= 9 - 9x² - 36x - 36
= - 9x² - 36x - 27
Answer:
x = 9, y = 29 or (8,29)
Step-by-step explanation:
Set the equations equal to each other because they both equal y:
4x - 3 = 2x + 13
Combine like terms:
2x = 16
Divide by 2:
x = 8
Plug 8 into the x for both equations and see if the y is the same:
y = 4(8) - 3 = 32 - 3 = 29
y = 2(8) + 13 = 16 + 13 = 29
The line has equation

where
is any real number.
is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.
To get the symmetric form, we have

Solving for
in each equation gives the symmetric form,

The line has intercepts in the coordinate planes wherever either the
,
, or
coordinate is 0.
-plane:

-plane:

-plane:

1). Am I seated comfortably, with plenty of light on my paper ?
2). Is my pencil sharp ?