Answer:
Step-by-step explanation:
"4 units away from point S(-1.5, -2.5)" sounds like a circle with center (-1.5, -2.5) and radius 4:
(x + 1.5)^2 + (y +2.5)^2 = 4^2, or 16
If the desired point is in Q IV, we choose an x - value greater than 0 and calculate the corresponding y-value. If we choose x = 1 then
(1 + 1.5)^2 + (y +2.5)^2 = 16
which becomes
2.5^2 + (y +2.5)^2 = 16
And so:
6.25 + (y +2.5)^2 = 16, OR
(y +2.5)^2 = 9.75, OR
y + 2.5 = √9.75 = 3.122
Solving for y, we get 0.6224
and so the desired point is (1, 0.6224). (Unfortunately, this is not in QIV, but rather in QI.)
