Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
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The rules of logarithms that apply are ...

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<h3>take antilogs</h3>
We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

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<h3>solve the quadratic</h3>
Adding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
Answer:
It goes into 100356 290 times with a remainder of 16
Step-by-step explanation:
100356/346 = 290 R 16
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.
Answer:
angle 5 = 102
Step-by-step explanation:
angle 2 = angle 6 { they are corresponding angles }
and then angle 6 and angle 5 = 180
78 + angle 5 = 180
angle 5 = 180-78
angle 5 = 102

First Consider two points ~ (0 , -3) and (-1 , 0)
Now, use the given formula to calculate slope :
Therefore, the slope of the graph is -3
