paceanne paceanne
  • 11-01-2021
  • Mathematics
contestada

A complex point of the form a + 3i has a distance of 29 units from –9 + 24i. What is the value of a?

Respuesta :

kenlingdad kenlingdad
  • 11-01-2021

Answer:

a = 11 or a = -29

Step-by-step explanation:

A: a+3i        B: -9+24i      AB = 29

AB² = (a - -9)² + (3 - 24)² = (a + 9)² + (-21)²

AB² = a² + 18a + 81 + 441 = 29² = 841

a² + 18a -319 = 0

a = (-18 ± √18²-4*1*(-319)) / 2 = (-18 ± √1600) / 2 = (-18 ± 40)/2

a = 11 or a = -29

Ver imagen kenlingdad
Answer Link

Otras preguntas

What is a benefit of peer review for students who are writing essays?
a restaurant bill is $28.35 and 20% tip
Which form of the modifier best completes the sentence? This park has more tunnels and slides than __________. a. any parks' in this town b. any park in the en
round 5.91 to nearest whole number
why did the creation of Israel cause conflict
which is bigger 40% of 200 or 1/3 of 150
Which of the the following events, characters, or objects can be said to make a swerve? A. a snowstorm and a cloudburst B. a roller skater and a seal C. a rains
how does slavery still affect our nation?
factor 16x+40y as an expression
10. What was one result of the War of 1812? A. Americans found that they could survive a war with a European power. B. Americans gained large amounts of territo