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Vilka [71]
3 years ago
15

Solve this plz

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0

Answer:

a. 9x + 36 = 27

   9x = -9

   x = -1

b. x/3 - 5 = 6

x/3 = 11

x = 33

c. 15 + 3x - 21 = -30

    3x - 6 = -30

     3x = -24

     x = -8

Step-by-step explanation:

frozen [14]3 years ago
5 0

A) 9(x + 4) = 27

9x + 36 = 27

9x = 27 - 36

9x = -9

x = -9 ÷ 9

x = -1

B) x/3 - 5 = 6

x/3 = 6 + 5

x/3 = 11

x = 11 × 3

x = 33

C) 15 + 3 ( x -7 ) = -30

15 + 3x - 21 = -30

3x + 15 - 21 = -30

3x - 6 = -30

3x = -30 + 6

3x = -24

x = -24 ÷ 3

x = -8

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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:

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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.

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