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3 years ago

What set of Reflections and rotations could carry ABCD onto itself?

Mathematics

2 answers:

Nitella [24]3 years ago

6 0

Reflect over y-axis,reflect over the X axis ,rotate 180°

Option D is the correct option.

Explanation:

Let's take point A which is (4,-1)

Reflection over y- axis will make this point (4,1)

Then, reflection over X axis will make this point (4,-1)

After rotation of 180 degree we will get (-4,1) .

Please see the attached picture....

Hope it helps...

Good luck on your assignment...

AURORKA [14]3 years ago

4 0

Answer: d) reflect over the x-axis, reflect over y-axis, rotate 180°

Step-by-step explanation:

A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y) → Z' = (x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y) → Z'' = (-x, -y)

Rotation of 180° changes the signs of both the x- and y-coordinates

Z'' = (-x, -y) → Z''' = (x, y)

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3 years ago

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Given f(x) = {(4 - x)?, what is the value of f(16)?

nika2105 [10]

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Answer:

Step-by-step explanation:

Put 16 where x is and do the arithmetic.

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3 years ago

Which expression is equivalent to cos120°? ° cos240° cos300° cos420°?

Anon25 [30]

Answer:

Option 1 - cos 240°

Step-by-step explanation:

Given : Expression $\cos 120^\circ$

To find : Which expression is equivalent to given expression ?

Solution :

The given expression is equivalent to those whose value is same as $\cos 120^\circ$

Value of

$\cos 120^\circ= \cos (180-60)$

$\cos 120^\circ= -\cos 60$

$\cos 120^\circ= -\frac{1}{2}$

value of cos in second quadrant is negative.

Option 1 : $\cos 240^\circ$

$\cos 240^\circ= \cos (180+60)$

$\cos 240^\circ= -\cos 60$

$\cos 240^\circ= -\frac{1}{2}$

Equivalent

Option 2 : $\cos 300^\circ$

$\cos 300^\circ= \cos (360-60)$

$\cos 300^\circ= \cos (2\times 180- 60)$

$\cos 300^\circ= \cos (60)$

$\cos 300^\circ= \frac{1}{2}$

Not equivalent

Option 3 : $\cos 420^\circ$

$\cos 420^\circ= \cos (360+60)$

$\cos 300^\circ= \cos (2\times 180+60)$

$\cos 420^\circ= \cos 60$

$\cos 420^\circ= \frac{1}{2}$

Not equivalent

Therefore, Correct option is 1.

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Answer:

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Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches l

ser-zykov [4K]

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

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V(x) = (17 - 2x)(11 - 2x)x

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3 years ago

What set of Reflections and rotations could carry ABCD onto itself?​

What set of Reflections and rotations could carry ABCD onto itself?