SOLUTION: the point(x,4) is a square root of 162 units from (-6,-5). What is the value of abscissa x?

Question 166143: the point(x,4) is a square root of 162 units from (-6,-5). What is the value of abscissa x?
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

from 2 set of points:

Given: points ------> (x,4)(-6,-5)

Subst.
, cancels out "square root" on the left term

, SOLVE BY PYTH. THEOREM
where----
Then,

2 Values:
---> , abscissa
Also, -->
We'll use ---> x=3, for the graph below:
---> See the BLUE Line @ points (3,4) & (-6,-5) that has distance of .
.
With points (3,4) & (-6,-5), will it equate to ? Let's see:
With our formula, we'll find 1st & :

---> As you see on the graph, & , good!
Next we find & , and as we see the graph:

---> As you can see, & :
By then, going back to our formula:

, good!
*Our dimensions are right.
Thank you,
Jojo

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