Question

Please helpppp, fan, medal, testimony
Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following is the coordinate for point B?
A (5, 2)
B (1, 5)
C (4, -1)
D (-2, 2)
I honestly think its C, but im not sure

Answer 1

u can form an equation of circle here


\(\large \color{black}{\begin{align}(x-4)^2+(y-2)^2=3^2\hspace{.33em}\\~\\

\end{align}}\)

Answer 2

from u can try to put each option in \((x,y)\) in LHS and see if it equals \(3^2\)

Answer 3

I don't get it ): @mathmath333

Answer 4

\(\large \color{black}{\left.
\begin{array}{l}
A (5, 2) \\
B (1, 5) \\
C (4, -1)\\
D (-2, 2)\\
\end{array}
\right\}
=\text{4 options}}\)


try to put each of them in equation of circle and see if it equals 3^2.
if yes than that is the answer

example.\((5,2)\)
\(\large \color{black}{(x-4)^2+(y-2)^2=3^2\hspace{.33em}\\~\\
(5-4)^2+(2-2)^2\\
=1^2+0^2=1\neq 3\hspace{.33em}\\~\\

}\)

so the first option is wrong like this try all other \(3\) options.

Answer 5

so D (: @jdoe0001

Answer 6

hmm

Answer 7

well... in short, the point (4,2) is just a point
and there's an infinite amount of lines that can go through it
and any of those lines can be 3units long

so the answer is an infinite amount
HOWEVER
you were given a few choices

so, if you pick the choices as your 2nd point, and find the "slope" between those 2 points
and it gives you 3, then that's one

Answer 8

you could use the distance formula I gather, to check for the same thing
the one choice that gives you a distance of 3

Answer 9

this is so confusing ))):

Answer 10

well
have you covered slopes? or the distance formula yet?

Answer 11

\(\large \color{black}{(x-4)^2+(y-2)^2=3^2\hspace{.33em}\\~\\
\normalsize \text{if u try option c here}\\~\\
(4-4)^2+(-1-2)^2\hspace{.33em}\\~\\
=0^2+(-3)^2=3^2\\~\\
so\\
LHS=RHS

}\)

Answer 12

@satellite73 hey you, youre my favorite on here. lol please help me understand

Answer 13

@ganeshie8 please help me):