Option B is correct.
Step-by-step explanation:
A triangle has vertices A(-3,-1), B(-6,-5), C(-1,-4). We need to find the transformation that will produce the triangle with vertices: A(3,-1), B(6,-5), C(1,-4)
Seeing the vertices of transformed triangle, we observe that the x-coordinate of vertices has been opposite of that in the original vertices, while y-coordinate remains same.
This shows it is reflection over y-axis. In which x-coordinate becomes the negative (opposite) of original coordinate while y-coordinate remains the same.
So, Option B is correct.
Keywords: Transformation of Triangles
Learn more about Transformation of Triangles at:
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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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I think it’s 3 that’s what I got
Answer:
Step-by-step explanation: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form.
Answer:
Step-by-step explanation:
6.7
