Jedynakc Jedynakc
  • 22-11-2020
  • Mathematics
contestada

What is the distance between point (3,2) and line y=1/4x-9

Respuesta :

xenia168
xenia168 xenia168
  • 22-11-2020

Answer:

9.94

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9

16x - 56 = - x + 36

17x = 92

x = [tex]\frac{92}{17}[/tex]

y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]

(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )

d ≈ 9.94396

Answer Link

Otras preguntas

m<AOC=108, m<3x+4, m<8x-28. find m<AOB
On a hot day, what role does water play in maintaining homeostasis in the human body?
The unit discusses style in terms of creative writing and comparing it to something. What can style be compared to and what is meant by this simile?
8=p/8 one steo equations
Which is an example of regulation in the automobile industry
which of the following leading causes of death in the United States related to the nutritional choices? Heart disease Alzheimer’s disease Kidney disease Resp
which is the site of protein synthesis? nuclear pore endoplasmic reticulum chromatin nucleolus
What organisms break down the nitrogen compounds in dead plants,dead animals,and animal waste
Where can los cabos be found? En la península yucatán en california en la península baja
Choose the answer. Read the passage from "The Tell-Tale Heart": ...I could see nothing else of the old man's face or person: for I had directed the ray as if by