A linear equation is represented as:
.
The equation of the line is: 
First, we calculate the slope (m) of 
Make y the subject

Divide by 18

In 
slope
So, the slope of
is:

Since, the line is perpendicular to 
The slope of the line is:

So, we have:


The line passes through (4,-2).
So, the equation is:

This gives:



Hence, the linear equation is:

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A suitable calculator can row-reduce the augmented matrix.
first number: 3
second number: 1
third number: 8
Answer:
Length = 200 m
Breadth = 175 m
Step-by-step explanation:
Perimeter of the rectangular field = Total cost ÷ rate per metre
= 12000 ÷ 16
= 750 m
Length : breadth = 8 : 7
Length = 8x
Breadth = 7x
Perimeter = 750
2*(length + breadth) = 750
2*(8x + 7x) = 750
2* 15x = 750
30x = 750
x = 750/30
x = 25
Length = 8x = 8*25 = 200 m
Breadth = 7*25 = 175 m
Answer:
21
Step-by-step explanation:
f(x) = 2x^2 + 3
f(-3) = 2(-3)^2 + 3
f(-3) = 2(9) + 3
f(-3) = 18 + 3
f(-3) = 21