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Mathematics

2 answers:

daser333 [38]3 years ago

6 0

Answer:

The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).

The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).

Step-by-step explanation:

The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).

The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).

tamaranim1 [39]3 years ago

3 0

The green triangle is the rotated image PQR. Point of rotation is (1,-1).

The red triangle is the reflected image XYZ. It’s reflected on the x axis

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Read 2 more answers

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis

Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

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The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.