Solve the following quadratic by factoring. x² + 12x + 27 = 0
1 answer:
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Scientific notation is
where 1≤x<10 and b is an integer
b is how many spaces you had to move the decimal to the left in the original number to obtain x
so
48,100,000,000,000
to
4.8100000000000
the decimal was moved 13 spaces
so b=13
a=4.81
in scientific notation, 48,100,000,000,000 is
b is how many spaces you had to move the decimal to the left in the original number to obtain x
so
48,100,000,000,000
to
4.8100000000000
the decimal was moved 13 spaces
so b=13
a=4.81
in scientific notation, 48,100,000,000,000 is
Refer to the diagram shown below.
The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15
The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.
The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.
Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5
Answer: x = -27/5
The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15
The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.
The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.
Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5
Answer: x = -27/5