Answer:
(f+g)(x) = 5x + 3
Step-by-step explanation:
f(x) = 2x - 6 and g(x) = 3x + 9, find (f+g)(x)
(f+g)(x) = f + g = (2x - 6) + (3x + 9) = 5x + 3
(f+g)(x) = f + g = 5x + 3
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Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
I hope it helps you get it right