CodenJ304255 CodenJ304255
  • 03-11-2022
  • Mathematics
contestada

Find the distance from the point to the line Y=-1x-3 and Q (2,3)

Respuesta :

TaytumD81036 TaytumD81036
  • 03-11-2022

Solution

We can do the following:

Ax + By + C= 0

Rewriting the line we got:

1x +1y +3=0

And the point is: (x= 2, y= 3)

and we can use the following formula:

[tex]d=\frac{|Ax_1+By_1+C|}{\sqrt[]{A^2+B^2}}=\frac{|1\cdot2+1\cdot3+3|}{\sqrt[]{1^2+1^2}}=\frac{8}{\sqrt[]{2}}\cdot\frac{\sqrt[]{2}}{\sqrt[]{2}}=4\sqrt[]{2}[/tex]

Answer Link

Otras preguntas

if the score is 90% and the total is 70 what is the number correct ?
The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit
pythagorean theorem If l = 12 cm and m = 35 cm, what is the length of n?
The copper wire and bulb is connected in a series with 220 V electric supply. Why only an electric bulb glows where as the copper wire remains the same.Give REA
Lane is 10 times Mels age.  If the difference in their age is 27, how old is Mel?
If the sun ran out of energy what would happen to the energy resources on earth
how do I solve (3+i)(3-i)
what group was successful in achieving its goals at the congress of vienna , nationalists conservatists liberals or anarchists?
Examples of cultural diffusion in ancient Rome pertaining to government
if the score is 90% and the total is 70 what is the number correct ?