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gizmo_the_mogwai [7]
3 years ago
6

Find an equation of the horizontal line through (9,1) The equation is _____

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

Step-by-step explanation:

horizontal eq . of a line is y=k,

here y=1

or

slope of horizontal line =0

eq. of line through (9,1) is

y-1=0(x-9)

or y-1=0

or y=1

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Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

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Then translated up by 2 units.

(-y, x) → (-y, x+2)

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Option (C) will be the answer.

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Step-by-step explanation:

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