vivi72
vivi72 vivi72
  • 17-01-2019
  • Mathematics
contestada

What is the midpoint and distance between points P(3,5) and Q(7,5)

Respuesta :

gmany
gmany gmany
  • 24-01-2019

The formula of a midpoint:

[tex]M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)[/tex]

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points P(3, 5) and Q(7, 5). Substitute:

[tex]x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5[/tex]

M(5, 5)

[tex]d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4[/tex]

Answer:

Midpoint = (5, 5)

Distance = 4

Answer Link

Otras preguntas

What four men represented the federalists in the ratification battle?
Explain the place-value relationship when the same two digits are next to each other in a multi-digit number?
What did those who favored centralization see as the most serious problem of the Articles, and how would they have changed them? What had prevented these change
What does a graph with no trend indicate about the variables?
An outline could be best compared to _____.
The first species of early humans to travel outside Africa was _____. A) Homo erectus B) Homo sapiens C) Homo habilis D) Neanderthals
What is the next odd number after 13 659 183?
The Great _______ Range, running just inland along Australia's eastern coast, is that continent's only significant mountain chain. A. Dividing B. Barrier C. Eas
Any system of government in which rule is by the people is called a. an autocracy. c. a monarchy. b. a democracy. d. an oligarchy.
What is 48,100,000,000,000 in scientific notation?