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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Answer:
Step-by-step explanation:
5×4+5×3
20+15
25
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
(x+2)(x+8) = x^2 +10x +16
(x^2 + 10x + 16)(x-1) = x^3+9x^2+6x-16, so the other dimension is x-1
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Answer:</h2>
variance measures variability from the average or mean. It is calculated by taking the differences between each number in the data set and the mean.','.
