Answer:

Step-by-step explanation:
Express the 2 fractions with a common denominator of 21
multiply numerator/denominator of first fraction by 3
multiply numerator/denominator of second fraction by 7
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I attached a picture with the answer, hope this helps :)
In this situation, there are 2 separate terms (parts of the story). The first part is the information about the coupon that applies to the daily rate of $40. You will represent this as 0.75 (for the 75% that you will be paying) x 40. (The other part of this story is that you are paying $0.15 per mile which is represented as 0.15m. You need to put these together to get 0.75(40) + 0.15m. The 0.25 times 40 can be simplified to say 30, so write it as $30 + $0.15m.
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°.