x² - 4x - 12 = 0
Factor the left side: (x + 2) · (x - 6) = 0
The equation is true if either factor is zero.
If (x + 2) = 0 then x = -2 .
If (x - 6) = 0 then x = 6 .
Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer: a) 4 b) you could make up to 8 liters
Step-by-step explanation:
Answer:
a(8) = -0.0027
Step-by-step explanation:
The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.
Here, the formula becomes a(n) = 6*(-1/3)^(n-1).
Substitute 8 for n to find the eighth term:
a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027
S*.05= ?*.05
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