Question

Use the following four coordinates to determine which one has a distance of 10 units from point C (1,2).

(3,4)

(7,10)

(6,7)

(8,9)

Answer 1

@math92130 @Mokeira @HDStorm @laurisve @amriju @juanpabloJR @j.youmans @Dr.Tehuti-mes @Pretty_in_pink @trexnapora someone please help

Answer 2

use the distance formula\[d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\]

Answer 3

Please elaborate what x1, x2..etc are for her help @sidsiddhartha

Answer 4

@sidsiddhartha do you mean this \[10=\sqrt{(1-x)^{2}+(2-y)^{2}}\]
square both sides
\[100=1+x ^{2}+4+y ^{2}\]
\[x ^{2}+y ^{2}=95\]

Answer 5

yeah
if there are two points in a plane with coordinates (x1,y1) and (x2,y2) then distence between them is
\[d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\]
now take
\[x_1\rightarrow 1 ~~and ~~~y_1\rightarrow 2\]
then it will be
\[10=\sqrt{(1-x_2)^2+(2-y_2)^2}\]
now squaring both sides \[100=(1-x_2)^2+(2-y_2)^2\]

Answer 6

I'm confused on what to do next

Answer 7

now check which pair satisfies this equation

Answer 8

This one!
(7,10)

Answer 9

yup correct :)

Answer 10

Thank you can you help me with another one

Answer 11

yeah

Answer 12

Line AB has an equation of a line y=5x-2 and line DC has and equation of a line y=-5x-2. These two lines are

parallel because the slope of the lines are the same

perpendicular because the product of the slopes is -1

both representations of the same line

neither parallel nor perpendicular

Answer 13

I know its not the 1st or 2nd

Answer 14

can u find the slopes of those lines

Answer 15

5x and -5x

Answer 16

they both have the same y intercept but I don't know how that answers the question

Answer 17

I think its the last one, but I'm not sure

Answer 18

sorryy connection got lost :(

Answer 19

yeah now try to compare with the standard equation
\[y=mx+c\]
comparing u'll get slope for the first line is
m1=5
and for the second line
m2=-5
so product of m1*m2=-25 which is not equal to -1 so they are not perpendicular
and also
\[m_1 \neq m_2\]
they are also not parallel

Answer 20

exactly but I don't know wether its the last answer or second to last answer

Answer 21

although i'm pretty sure its the last one