p(x)= -
+ 800x - 1599
given x = a is a zero of a polynomial p (x) then
(x - a) is a factor of the polynomial
complex zeros occur in conjugate pairs
5 + 4i is a zero hence 5 - 4i is a zero
factors are (x - 3),(x + 13),(x - (5 + 4i) and (x - (5 - 4i)
The polynomial is the product of it's factors
p(x) = (x - 3)(x + 13)(x - (5 + 4i)(x - (5 - 4i)
expanding the factors
p(x) = ( + 10x - 39)(
- 10x + 41)
= -
+ 800x - 1599
Answer:
(x-1)²/49 + (y+3)²/16.51 = 1
Step-by-step explanation:
vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis
a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis
b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1
a = 8-1 = 7 c = 6.7 - 1 = 5.7
b² = 7² - 5.7² = 16.51
Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1
Answer:
Step-by-step explanation:
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Answer:
13.6 in
Step-by-step explanation:
Please refer to the attachment
