the common difference is two of course
69,010 is the total cost of ???
Answer:
Therefore the coordinate of P₂ is (-3,1)
Step-by-step explanation:
Mid point: The mid-point is a point from where the distance of the end points of a line segment is equal.
The co-ordinate of mid point of (x₁,y₁) and (x₂,y₂) is ![(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29)
Here x₁= -5 and y₁= 9
And the coordinate of the mid point is (-7,1).
Let the coordinate of P₂ be (x,y)
Therefore the coordinate of midpoint of P₁ and P₂ is
![(\frac{-7+x}{2} ,\frac{1+y}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B-7%2Bx%7D%7B2%7D%20%2C%5Cfrac%7B1%2By%7D%7B2%7D%20%29)
According to the problem,
![\Rightarrow -7 +x=(-5)\times 2](https://tex.z-dn.net/?f=%5CRightarrow%20-7%20%2Bx%3D%28-5%29%5Ctimes%202)
![\Rightarrow -7 +x=-10](https://tex.z-dn.net/?f=%5CRightarrow%20-7%20%2Bx%3D-10)
![\Rightarrow x=-10+7](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D-10%2B7)
and
![\frac{1+y}{2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B1%2By%7D%7B2%7D%20%3D%201)
![\Rightarrow 1+y= 1\times 2](https://tex.z-dn.net/?f=%5CRightarrow%201%2By%3D%201%5Ctimes%202)
![\Rightarrow 1+y=2](https://tex.z-dn.net/?f=%5CRightarrow%201%2By%3D2)
![\Rightarrow y=2-1](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2-1)
![\Rightarrow y=1](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D1)
Therefore the coordinate of P₂ is (-3,1)
2x -2x - 3 = 2x - 2x - 5 <em>subtract 2x from both sides</em>
-3 = -5 FALSE
<h3>Answer: D) no solution</h3>
To express sin O as a fraction in simplest term is 5/6
<h3>
How to determine the expression</h3>
Using the formula:
Sin O = opposite/ hypotenuse
Where opposite = The side directly opposite the angle
hypotenuse = The longest side of the triangle
Sin O = 5 / 6
Therefore, to express sin O as a fraction in simplest term is 5/6
Learn more about the trigonometry here:
brainly.com/question/7331447
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