
This then means,

which is the pythagorean trig identity. This concludes the proof.
Therefore, if
, then 
Answer:
The answer is B.) s=d/t
Step-by-step explanation:
. Multiplying the denominator by
gives

Subtracting this from the numerator gives a remainder of

. Multiplying the denominator by
gives

and subtracting this from the previous remainder gives a new remainder of

This last remainder is exactly the same as the denominator, so
divides through it exactly and leaves us with 1.
What we showed here is that



and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:



which matches the original numerator.
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Isn't there suppose to be an equation or something that you have to solve?