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anyanavicka [17]
3 years ago
12

Which of the following rules best describes the matrix below? (Picture)

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0

Answer:

The correct option is b.

Step-by-step explanation:

The rule of rotation of 90° counterclockwise about the origin is defined by the matrix

\begin{bmatrix}0 &-1 \\ 1 & 0\end{bmatrix}

The rule of reflection of the line y=x is defined by the matrix

\begin{bmatrix}0 &1 \\ 1 & 0\end{bmatrix}

The rule of rotation of 180° about the origin is defined by the matrix

\begin{bmatrix}-1 &0 \\ 0 & -1\end{bmatrix}

The rule of translation of 1 unit left and 1 unit up is defined by the matrix

\begin{bmatrix}1 &0 \\ 0 & 1\end{bmatrix}

Only the rule of reflection of the line y=x is defined by the given matrix, therefore the correct option is b.

alexdok [17]3 years ago
3 0

Answer:

option b

reflection over the line y = x

Step-by-step explanation:

Matrix for every option is mention below

a)

rotation of 90° counter clockwise about the origin

0    -1

1     0

b)

rotation of 180° about the origin

-1    0

0    -1

c)

for a reflection in the line y=x

0    1

1     0

d)

translation 1 unit left and 1 unit up

1      0

0     1

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Answer:

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Step-by-step explanation:

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Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

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Applying Pythagoras theorem,

x² + (x-7)²= 13²

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Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

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