obedluka39 obedluka39
  • 01-04-2022
  • Mathematics
contestada

The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x​

Respuesta :

algebraic12 algebraic12
  • 01-04-2022

Answer:

-3,5

Step-by-step explanation:

[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]25 = (x - 1) {}^{2} + 9[/tex]

[tex]16 = (x - 1) {}^{2} [/tex]

[tex]4 = x - 1[/tex]

[tex]x = 5[/tex]

Or

[tex] - 4 = x - 1[/tex]

[tex]x = - 3[/tex]

Answer Link

Otras preguntas

anything that applies. sec0 is undefined for 0 =
Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.
what are the similarities between Greek and Chinese pottery
If a group of individuals should fall into cold water and immediate rescue is not available, what should they do to prevent hypothermia?.
Which general statement about the Movement is most likely true? The young people involved in the march were all members of the Sixteenth Street Baptist Church.
Modals and infinitives Complete the following sentences by choosing the correct word or phrase from the alternatives given.I need a quiet place to study. Where
Can anyone please help me, the attachment is down below
what is the country in usa that attracts Mexican workers​
X+1/2y=5 What is the rate of change of y with respect to x?
The legitimacy of a government is shaped by the ruler and his rules, or:.