What are the coordinates of the image of the point -3,6 after a dilation with a center of 0,0 and a scale factor of 1/3. urgent timed quiz

The correct answer option is (-1, 2).

Step-by-step explanation:

We are given a point (-3,6) and we are supposed to dilate it to a scale factor of with reference to the origin or center i.e. point (0, 0).

Since the reference point here is the origin, so we simply need to multiply the coordinates of the given point by in order to find the coordinates of its image.

-3 ---> ×

6 --->   ×

Therefore, the coordinates of the image are (-1, 2).

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.