Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
![\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%262%5C%5C-3%261%265%5C%5C-1%26-4%263%5Cend%7Barray%7D%5Cright%5D)
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
_____
Many scientific and graphing calculators and web sites can perform this calculation for you.
Answer:
$64.32
Step-by-step explanation:
What you do is:
$53.60×20% → $53.60×0.2
$53.60×0.2=$10.72
$10.72 is the amount of money taken off because of the sale.
Then what you do is:
$53.60+$10.72=_____
53.60
<u>+10.72</u>
64.32
The original price was $64.32.
Hope this helps! Please mark my answer brainliest!
Answer:
y = 4
Step-by-step explanation:
5x + y = -1
y = -1 - 5x
y = 6x + 10
6x + 10 = -1 - 5x
11x = -11
x = -1
y = 6x + 10 = 6(-1) + 10 = -6 + 10 = 4
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete because the area of the parallelogram is missing. However, the following will guide you in answering the question</em>
Given

Required
Determine the Height
Area of a Parallelogram is:

Make Height the subject

Substitute 16 for Base

This implies that you divide the value of area by 16 to get the height of the parallelogram.
Take for instance;

The height would be


Or

The height would be

