The answer is 1 no solution
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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We are asked in this problem to find the real root of the polynomial f(x) = x3 + 0.5x2 + 4.5. in this case, to find the root of the equation, we equate the equation to zero.
<span>f(x) = x³ + 0.5x² + 4.5 = 0
2x3 + x^2 + 9 = 0
</span><span>x1=−1.83557
</span>x2=0.66779+1.41619∗i
x3=0.66779−1.41619∗i
answer is -1.84
Answer:
A. (7n-1) (8n-1)
Step-by-step explanation:
56n^2 -8n-7n+1
56n^2 -8n -7n+1
Factor out 8n from the first group and -1 from the second group
8n (7n-1) -1(7n-1)
Factor out the (7n-1)
(7n-1) (8n-1)
More than 2 ... there is a right and a obtuse i think
