Move all terms that don't contain y to the right side and solve y=3x+4
The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities
Daemon's speed is (v + 45) mi/h
The reason the above value for Daemon's speed is correct is as follows:
The known parameters are;
The speed with which Bill was travelling = v mi/h
The speed with which Daemon was travelling = 45 mi/h faster than Bill
Method:
By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed
To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;
Solution:
Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h
Learn more about variable addition here:
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We have to simplify
sec(θ) sin(θ) cot(θ)
Now first of all let's simplify these separately , using reciprocal identities.
Sec(θ) = 1/cos(θ)
Sin(θ) is already simplified
Cot(θ)= cos(θ) / sin(θ) ,
Let's plug these values in the expression
sec(θ) sin(θ) cot(θ)
= ( 1/cos(θ) ) * ( sin(θ) ) * ( cos(θ) / sin(θ) )
= ( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
sin cancels out with sin and cos cancels out with cos
So , answer comes out to be
=( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
= 1
