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

35,124 rounded to the nearest ten thousand
what is 1/4 divided by 0.75
Which of the following statements is true about the atoms of any element? A) They have the same number of protons as the atoms of all other elements. B) They ha
What is the multiples of 48
What do the quilts represent to maggie at the end of "everyday use"? a. her sadness that she can't get along with her sister b. her triumph at being chosen ov
Cara got lost while hiking in the mountains. Fortunately for her, she had a GPS device and a satellite phone. When she reported her location, she indicated that
Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed
Charlie rented a truck for one day. There was a base fee of $17.99 , and there was an additional charge of 81 cents for each mile driven. Charlie had to pay
how are the decimals related in .5 .05 .005
An item costs $420 before tax, and the sales tax is $12.60 . Find the sales tax rate. Write your answer as a percentage.