Question

find the value of "a" if the points are the indicated distances apart.

Answer 1

\[(2,a) \] and \[(-3,-2) \] when \[d=\sqrt{34}\]

Answer 2

d=sqrt34 =\[\sqrt{(-3-2)^2+(-2-a)^2}\]
now square both sides and you get 34=\[25+(-2-a)^2\]

Answer 3

\[d=\sqrt {25+4a^2}\]

Answer 4

like that is how it should look right?

Answer 5

(-2-a)^2=4+2a+2a+a^2=4+4a+a^2
so 25+a^2+4a+4=34
so a^2 +4a+4=9
a^2+4a-5=0
whcih factors to (a-1)(a+5)
can you go from here?

Answer 6

b, (-2-a)^2 does not equal 4a^2

Answer 7

im completly lost now

Answer 8

hang on

Answer 9

how did you get -5

Answer 10

it's 1 but I want him to have an explanation

Answer 11

hold on Radar is going to help

Answer 12

4+(-9)=-5

Answer 13

oh okay you moved the 9 over

Answer 14

right

Answer 15

the answer is 1 but I want radar to give an explanation/confirmation because he has been observing