Given:
A line passes through (-5,-3) and perpendicular to
.
To find:
The equation of the line.
Solution:
We have,

On comparing this equation with slope intercept form, i.e.,
, we get

It means, slope of this line is
.
Product of slopes of two perpendicular lines is always -1.



Slope of required line is
and it passes through the point (-5,-3). So, the equation of the line is

where, m is slope.






Therefore, the equation of required line is
.
Answer:
144 un²
Step-by-step explanation:
Front Parallelogram = 5 x 11 = 55
Two triangles = 3 x 4 = 12
Back Parallelogram = 3 x 11 = 33
Bottom rectangle = 4 x 11 = 44
Total =
55 + 12 + 33 + 44 = 144
units = un²
144 un²
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-Chetan K
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
- 0.992⇒1m
- x(the new rate) ⇒1000m
- x= 0.992*1000= 992
Answer:
0.034
Step-by-step explanation:
thirty-four thousandths
or
zero point zero three four
The row echelon form of the matrix is presented as follows;

<h3>What is the row echelon form of a matrix?</h3>
The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.
The given matrix is presented as follows;

The conditions of a matrix in the row echelon form are as follows;
- There are row having nonzero entries above the zero rows.
- The first nonzero entry in a nonzero row is a one.
- The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.
Dividing Row 1 by -3 gives:

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

Subtracting Row 1 from Row 3 gives;

Adding Row 2 to Row 3 gives;

Dividing Row 2 by -2, and Row 3 by 18 gives;

The above matrix is in the row echelon form
Learn more about the row echelon form here:
brainly.com/question/14721322
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