manissamuel3 manissamuel3
  • 04-09-2019
  • Mathematics
contestada

If A( x, 1), B( -3,7), C( -5, 9), and D( 5, 4), find the value of x so that line AB is parallel to line CD.

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 04-09-2019

The slope of CD = (9-4) / (-5-5) = 5/-10 = -1/2

The slope of AB must also be -1/2

Slope of AB = (1-7) / (x - -3) = -6 / (x+3)

For AB to equal -1/2, the denominator needs to be twice as much as the numerator, so set up an equation:

2(x+3) = 12

Now solve for x:

2x +6 = 12

2x = 18

x = 18/2

x = 9

Answer Link

Otras preguntas

The field of industrial ______ (the study of human behavior in the workplace) is based on Hugo Munsterberg's theories.
It takes Michael 0.30 hours to walk to school. How many seconds does it take him to walk to school?
How is the light emitted by an atom related to its electron configuration?A. Light is produced when an electron moves from a higher to a lower energy level. The
why do we have different hair colors?
If a cheetah could maintain its top speed of 120 km/h for 20 minutes, how far would it run?
Is a cross section 2 dimensional figure or three-dimensional figure?
What does Orwellian mean
What is one way that the government impacts your life each day?
whats the underlying message or idea in a literary work
Los niños, niñas y mujeres del pueblo se visten con la ropa más bonita que tienen. Es común que las personas que van a este evento especial se vistan con ropa b