An isometry is a transformation that preserves a. direction. b. orientation. c. distance

option C. distance.

Explanation:

1) You can use your etmyological knowledge, i.e. the origin of the words.

Iso means equal

metri means measurement

So, isometry meas equal measures, which is same distances.

2) Then, isometry are congruent transformations. They keep the distances, and, in consequence the angles of the figures.

Some transformations that are isometries are: translation, rotation and reflection.

When you translate a figure, all the parts are translated the same amount, and so the image is congruent to the preimage.

When you rotate a figure, also the distances of each point of the figure are preserved. The image and the preimaga are congruent.

The same happens with the reflections around a fixed axis or line.

On the other hand, dilations are not isometries, since the image will be enlarged or contracted as per the scale factor of the dilation.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1