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

Through the Human Genome Project, approximately how many genes have been found in each set of human chromosomes? A. 3,000,000 B. 3,000 C. 30,000 D. 300,000
Two concentric circles have radii 6 and 14. Find the length of a chord of the larger circle that is tangent to the smaller circle.
What is the equation of the line?
help asap, testining
What advice would you give Johnny and PonyBoy in chapter 4/5 in the book “the outsiders”
1: What was the Cuban Missile Crisis? Castro’s attempt to learn the technology for developing nuclear weapons Castro’s threat to destroy the island of Cuba with
Is the term (x + 2) a factor of the polynomial shown below? f(x)=x? – 10x² + 27x – 12
How did industrial technology disrupt Germany's military strategy early in World War I?
How did China and the Soviet Union assist Viet Cong forces?
which formula represents an isomer of ch3-ch2-cooh