Find x such that the distance between (x, -10) and (-20,-5) is the square root of 425.

Question

karatechopper · Answer

r u going to graph this?

anonymous · Answer

no; we can't. we gotta use the distance formula.

karatechopper · Answer

o ok do u wanna know what the formula is or do u know it

anonymous · Answer

i know it, i just don't know how to figure it out lol

karatechopper · Answer

ok well can u put in the formula for me so i can solve it plz?

anonymous · Answer

d= the square root of [(-20-x)^2 + (-5+20)^2]

karatechopper · Answer

... i will just solve this differently hold on a couple mins?

anonymous · Answer

okay; the only problem is, i have to show work.

karatechopper · Answer

o ok well i will find a way to do tht its just tht  i need to restart it ok? so i will have your work up here

anonymous · Answer

okay.

karatechopper · Answer

well, nissan, i am done here i had to think it through... is this a test u r taking, meaning tht if u mess up a problem then it is counted badly against u?

anonymous · Answer

no; it's homework.

karatechopper · Answer

ok thank god... ok i might have this wrong but i htried at least b/c i have never gotten this type of question on this formula before
so i am about to show my work..

anonymous · Answer

okay' thanks alot!

anonymous · Answer

are you still typing?

karatechopper · Answer

$$d=\sqrt{(x-x)^2+ (y-y)^2}$$
$$d=\sqrt{(-20-x)^2+ (-5-10)^2}$$
$$d=\sqrt{(-20-x)^2+225}$$
$$d=\sqrt{400-x^2 +225}$$
$$d=\sqrt{625-x^2}$$

anonymous · Answer

so x has to equal the square root of 200?

karatechopper · Answer

hold on a min
uh where is the 200 from and i am not done yet so...
 heres the deal put 425 in front of every radical sign plz. 
and here is your answer...
$$d= 10625- 425\sqrt{x^2}$$

karatechopper · Answer

hope it helps and i got it right if i do get it roght plz inform me and if i get it wrong plz tell me the answer by posting it k?

anonymous · Answer

okay; thank you so much!

karatechopper · Answer

welcome! sorry it took so long

anonymous · Answer

well if you re-read the problem; its supposed to equal the square root of 425.

anonymous · Answer

so; i'm not sure, but i'm just gonna turn in what you did. lol it's better than nothing, & it looks good!

karatechopper · Answer

well the square root is of 425 is $$5\sqrt{17}$$

anonymous · Answer

where did 10625 come from

karatechopper · Answer

uhhh because umm 425 times the square root of 625 is 10625

anonymous · Answer

ohh; gotcha

karatechopper · Answer

happy? walk in tht door tommorow in class smiling k? i will fan u

anonymous · Answer

haha; i don't have class again till thursday; but i will! & thank you!

karatechopper · Answer

welcome again! bye