Answer:

Step-by-step explanation:
The formula of a distance between two points:

We have two points (1, -5) and (-3, 6). substitute:

Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:







The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4