Answer:
(-9,9) or (-9,-7) are the possible coordinates
Step-by-step explanation:
We can use the formula for the distance between two points to get this
Mathematically, this can be;
d = √(x2-x1)^2 + (y2-y1)^2
Now let our point A be (x1,y1) = (-9,n)
let’s say y1 is n for now
For point B, we have (x2,y2) = (3,2)
and our d is 15 units
Inputing the values, we have
15^2 = (3+9)^2 + (2-n)^2
225 = 144 + (2-n)^2
225-144 = (2-n)^2
(2-n)^2 = 81
(2-n) = √(81)
2-n = -9
or 2-n = 9
n = 11 or n = -7
Now the possible coordinate values of point A are;
(-9,9) or (-9,-7)
Answer:
Step-by-step explanation:The distance between points is given by the following equation:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)
We clear the value of a:
(15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2
225 = (- 12) ^ 2 + (a-2) ^ 2)
Rewriting:
225 = 144 + (a-2) ^ 2
225-144 = (a-2) ^ 2
81 = (a-2) ^ 2
a-2 = +/- root (81)
a = +/- 9 + 2
The possible values are:
a1 = 9 + 2 = 11
a2 = -9 + 2 = -7
Then, the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Answer:
the possible coordinates of point a are:
(-11, 11)
(-11, -7)
