Answer:14
Step-by-step explanation:
Answer:
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<h3><em><u>1) f (x) = x 3 + 2x 2 - 8x first factor of x ------> x( x^2 +2x -8) = 0 -------> x = 0 and x^2 +2x -8 = 0</u></em></h3><h3 /><h3><em><u>1) f (x) = x 3 + 2x 2 - 8x first factor of x ------> x( x^2 +2x -8) = 0 -------> x = 0 and x^2 +2x -8 = 0 Now, you find b^2 -4ac that in this case will be = 2^2 -4*1*(-8) = 4 + 32 = 36 it means this equation has 2 different real roots and will be (-b ±√b^2 - 4ac) / 2a ------> x = 2 , -4 as result #1 has 3 real roots such as 0,2,-4</u></em></h3>
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ON = MN =x
ON² + MN² = OM²
x² + x² = 8²
2x² = 64
x² = 32
x = √32 = 4√2
Answer:
x^2 = -128y
Step-by-step explanation:
The general formula for this type of parabola is x^2 = 4ay where a is the y coordinate of the focus. So 4a = 4*-32 = 1-28.
So the answer is x^2 = -128y
It would be 7.45 since the -3.05 and the -9.5 together would equal -12.55 which subtracted from 20 would equal 7.45