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Morgarella [4.7K]
3 years ago
14

2x+3 less than or equal to 5

Mathematics
2 answers:
rjkz [21]3 years ago
6 0
2x+3 \leq 5 \\  \\ (2x+3)-3 \leq (5)-3 \\  \\ 2x \leq 2 \\  \\   \frac{2x}{2}  \leq  \frac{2}{2}  \\  \\ x \leq 1 \\  \\x=( -\infty} ,1]
ycow [4]3 years ago
3 0
2x + 3 ≤ 5
<u>      -3   -3</u>
      2x ≤ 2
      <u>2x</u> ≤ <u>2</u>
       2     2
       x =  1
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Aleksandr [31]

The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

<h3>What is a transformation?</h3>

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

<h3>The types of transformation.</h3>

In Geometry, there are different types of transformation and these include the following:

  • Dilation
  • Reflection
  • Rotation
  • Translation

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]

Therefore, the image of triangle UVW would be given by this matrix:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] \left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]

Image = \left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

Read more on transformations here: brainly.com/question/12518192

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Through: (4, -1), parallel to y = -3/4x
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C

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the answer for this question is

-2 and 6

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