jana2613 jana2613
  • 10-09-2020
  • Mathematics
contestada

solve for z: 11=6|-2z| -5

Respuesta :

altavistard
altavistard altavistard
  • 10-09-2020

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}

Answer Link

Otras preguntas

which of the following equations has no solution? 3x+1=2x+1 3x+1=3x+1 3x+1=3x+2
Six times a number is greater than 20 more than that number. Which are the possible values of that number?
In circle A shown below, mArc BC is 61° and mArc EF is 76° What is m∠FDE?
∆ABC has side lengths of 10 units, 20 units, and 24 units. ∆XYZ is similar to ∆ABC, and the length of its longest side is 60 units. The perimeter of ∆XYZ is how
Which words best describe the tone of Winston Churchill's speech?
hola me pueden ayudar con este problema de física....por favor mirar la imagen.. gracias
find the sum of 5m 3n p, -5p 3n, and 2n - m. -4m 8n - 4p 4m 8n 4p 4m - 8n - 4p 4m 8n - 4p
Which type(s) of subatomic particles can be located within the nucleus of an atom?
select one of the factors of 3x2 10x 3
which of the following statements is untrue in regard to sound traveling in air? a. during a single vibration of the diaphragm, molecules in the air near it wil