Falconator303 Falconator303
  • 02-09-2020
  • Mathematics
contestada

Write an absolute value equation that has the solutions $x=8$ and $x=18$

Respuesta :

surjithayer10 surjithayer10
  • 02-09-2020

Answer:

Step-by-step explanation:

Let |x-a|=b

then x-a=±b

so x-a=b

or x=a+b

so a+b=18   ...(1)

and x-a=-b

or x=a-b

or a-b=8   ...(2)

adding (1) and (2)

2a=26

a=26/2=13

subtract (2) from (1)

2b=10

b=10/2=5

|x-13|=5

Answer Link

Otras preguntas

What is the enduring significance of the Islamic Empire?
If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
a large University with over 40,000 took a recent survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250
what's the main purpose of a personality test?
pls help ill give brainliest and 5 starts
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Make a title about this short paragraph and write a statement that is your own opinion about this paragraph
Warm-Up Select all the expressions that are equivalent to [tex]3x-4+2x-6[/tex]. A.x-2 B.5x-2 C.5(x-2) D.5x+10 E.5x-10
help asap please) The vertices of a trapezoid are shown below. P(0,0),Q(4,0),R(4,6),S(0,12) This trapezoid is dilated about the origin by a scale factor of 4. W
3x - 12y = 6 x - 4y = 2 solve by elimination