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:
0.61
Step-by-step explanation:
Pr (female) = total number of females(n')/Total number of students(n)
Where P(female) = probability of selectinga female
Pr(female) = n'/n................. Equation 1
Given: n = 44 students, n' = 15+12 = 27 females
Substitute into equation 1
Pr(female) = 27/44
Pr(female) = 0.61.
Hence the probability of selecting a female is 0.61
Answer:
week, but he must work less than ... 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 ... The graph shows the numbers of two types of custom wood tables that can ... Which system of linear inequalities. Custom Tables represents the graph? x + y = 15 ... u=50-2x. 4 = 20. Amount. Ones like not be on test lo+ll. 50-2x320 weeks. 11.
Step-by-step explanation:
Answer:
$78.69
Step-by-step explanation:
63.04+58.27=121.31
200-121.31=78.69
Answer:
42%
Step-by-step explanation:
decimal * 100 to get %