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°.
Answer:
The average score is 73
Step-by-step explanation:
Your average score is the sum of each of your tests scores multiplied by the weight of the test.
We have that:
You scored 90 on the midterm
The midterm is worth 30%
You scored 60 on the final
The final is worth 50%
You scored 80 on the class project
The class project is 20%
Average score:
A = 90*0.3 + 60*0.5 + 80*0.2 = 73
Answer:
B
Step-by-step explanation:
4*60=240
240/13.7*25=437
-(-5)+7-18+4 first yo distribute the negative so it would be 5+7-18+4=-2
Answer:
8
Step-by-step explanation:
Plug in a =4 and b=3 into 6+4/a +b/3
6 + 4/4 + 3/3
= 6 + 1 + 1
= 8