maddie0331838 maddie0331838
  • 23-06-2020
  • Mathematics
contestada


IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)

Respuesta :

r3t40
r3t40 r3t40
  • 23-06-2020

A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].

The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.

[tex]

x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\

y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2

[/tex]

Now insert the numbers.

[tex]

x_1=2(-2)-(-6)=2 \\

y_1=2(-1)-4=-6

[/tex]

The result is an endpoint at [tex](2,-6)[/tex].

Answer Link

Otras preguntas

Given that a­­b = x, evaluate the following: a^b+2
What are Tsunamis and give an example of a major Tsunami?
Solve with elimination. 3x + 7y= - 26 5x + 3y= - 14 Ive been struggling on this please help me
Question: Soil formation begins with the weathering of _________________?
14. People began to make tools out of
The cell cycle is a repeating series of events that include growth DNA synthesis and cell division true or false
What is the relationship between any two circles?
1. Explain why “yo-yo” dieting might actually result in weight gain. 2. Describe why the Atkins and Zone diets cause weight loss and identify the risks associat
why did the RFC fail?
In the Articles of Confederation, most of the power was held by the central government. the military. the states. the monarch.