Answer:
51
Step-by-step explanation:
area of the triangle= 1/2 (6-3)(13-7)
=1/2 (3)(6)
=9
area of rectangle= 6×7
= 42
therefore, area of shape = 42+9
=51
Given:
Line a is perpendicular to line b
.
Line a passes through the points (1,-8) and (9,-12)
.
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12)
. So, slope of line a is
Product of slopes of two perpendicular lines is -1.



Slope of line b is 2.
If a line passing through a point
with slope m, then equation of line is

Line b passing through (-8,-16) with slope 2. So, equation of line b is



Subtract 16 from both sides.

Therefore, the equation of line b is
.
||a|| is called the norm of a. The answer is square root of 58. Hope it helps
Answer:
480
Step-by-step explanation:
Important Information:
A Book Has 12 Chapters.
The Mean length of the chapters is 40 pages.
Question to Answer:
How many total pages are there in the 12 chapters?
Explanation/Solution:
Let's assume that the total number of pages in the book is "x" pages.
To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.
=40
Multiply both sides by 12...
x = 480
Hence, The total number of pages in the 12 chapters is 480.