Question

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

Answer 1

(3, 4)

(7, 10)

(6, 7)

(8, 9)

I think the answer is (8,9). But i am not sure.. @Orion1213 Can u help me on this ?

Answer 2

use distance formula...

Answer 3

Well lets check using the distance formula

\[\large \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]
\[\large \sqrt{(8 - 1)^2 + (9 - 2)^2}\]
\[\large \sqrt{(7)^2 + (7)^2}\]
\[\large \sqrt{49 + 49}\]
\[\large \sqrt{98}\]

Does that = 10?

Answer 4

yes i think so @johnweldon1993

Answer 5

all you have to do is plug-in each point in the distance formula until you got 10 units of distance...

Answer 6

doe sthat mean the answer is (7,10) @Orion1213 @johnweldon1993

Answer 7

\[\large \sqrt{(8 - 7)^2 + (9 - 10)^2}\]
\[\large \sqrt{(1)^2 + (-1)^2}\]
\[\large \sqrt{1 + 1}\]
\[\large \sqrt{2}\]

Are you guessing?All you do is follow that same process each time you want to check a coordinate

Answer 8

you can do the same process for the two remaining coordinates, one of them is sure to give you 10 units of distance....

Answer 9

i am not gonna lie, yes i am guessing. I am just so confused with the process and checking the coordinates @johnweldon1993

Answer 10

and that is the answer...

Answer 11

what's the answer ? @Orion1213

Answer 12

the distance formula, as the name implies, is your formula to find the distance between two points given their coordinates (x, y)...

Answer 13

so (6,7) ?? @Orion1213

Answer 14

no it's (7,10)...

Answer 15

oh okay yeah that;s what i said before. Thanks. @Orion1213

Answer 16

can u please help me with another one? @Orion1213

Answer 17

Write an equation of a line parallel to y = 1 over 4x − 6 in slope-intercept form that passes through the point (−1, 5).

y= 1 over 4x − 1

y= 1 over 4x + 5.25

y= −4x + 5

y= −4x − 1.25

Answer 18

@johnweldon1993