Well it would be 70% of them because Jack had 100% and 30% minus 100% is 70%
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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P.E.M.D.A.S
First , you multiply.
200+(-16)4
200+(-64)
Since they have different signs, you subtract and keep the sign of the greater absolute value.
200+(-64)=136
The answer is D.
This figure has 4 sides which makes it a quadrilateral.
This figure has 2 sets of parallel sides which makes it a parallelogram.
This figure has 4 equal sides which makes it a rhombus.
This figure has 4 right angles which makes it a rectangle.
And this figure has both 4 equal sides and 4 equal angles which makes it a square.
To make it easier, all squares are: quadrilaterals, parallelograms, rhombuses, rectangles and of course squares.
