Answer:
y - 2x = 12 and x - 2y = -18
The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
<h3>What is the area of a rectangle?</h3>
Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,
All three parts has equal area. Thus, the area of parallelogram NCMA is,
MN is the height of the parallelogram. Thus,
Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
Learn more about the area of rectangle here;
brainly.com/question/11202023
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Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
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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