<span>2a^2+ab+5ab+5b^2
2a(a+b) +5b(a+b)
(a+b)(2a+5b)</span>
First you need to get 3% of 7 so
7x0.03= 0.21
then you need to add that 3% onto 7
7+0.21=7.21
therefore the door frame is now 7.21 feet high
Answer:
The graph in the bottom right corner
Given:
The slope of a line is
.
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e.,
. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is
. It means the slope of the perpendicular line must be
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.