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:
6, 21, and 23 inches
Step-by-step explanation:
The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.
- This means that we can algebraically solve the equation
Step 1: Combine like terms.
Step 2: Subtract 14 from both sides.
Step 3: Divide both sides by 6.
Step 4: Plug in the value of n as 6 in each side.
Therefore, the side lengths are 6, 21, and 23 inches.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
D answer to dis question is 21
Its easy you just have to do the pi formula
Answer: The point slope solution is y+4 = -(1/2)(x-4) which is y + 4 = -(.5)x + 2 or y = -(.5)x -2.
Step-by-step explanation: