hollowayt1971 hollowayt1971
  • 02-11-2018
  • Mathematics
contestada

find x so the distance between (x,2) and (1,4) is square root 13.

Respuesta :

Аноним Аноним
  • 08-11-2018

Answer:

x=5orx=−1

Explanation:

The distance between two points (x1,y1)and(x2,y2) is

D=√(x1−x2)2+(y1−y2)2 or

5=√(x−2)2+(3+1)2 squaring both sides we get ,

(x−2)2+(3+1)2=25orx2−4x+4+16−25=0 or

x2−4x−5=0orx2−5x+x−5=0 or

x(x−5)+1(x−5)=0or(x−5)(x+1)=0

∴x=5orx=−1

The point is (5,3)or(−1,3) [Ans]


Answer Link

Otras preguntas

A study of Aztec maya and Inca agricultural systems would show that these civilizations
Match the leaders with their goals at the Yalta Conference of 1945. Franklin Roosevelt, Winston Churchill ,Joseph Stalin Pairs wanted to prevent future threat
Find the measure of the angles in the diagram
Why english should be the official language of the united states?
the height of each lateral face of a regular pyramid is called
Which of the following loans will typically have the highest interest rate? A) Credit Card B) car loan C) mortgage D) payday loan
The flow of cold dense air under the influence of gravity is called a _________ .
Freud believed that ________ were the "royal road to the unconscious."
Rachel wants to collect data about the snack habits of her friends. Which questions are statistical questions she could ask? Select each correct answer. Does Ma
The landmark civil rights case of brown vs board of education rendered invalid the decision in which Supreme Court case