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ikadub [295]
2 years ago
11

One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.

Mathematics
2 answers:
gregori [183]2 years ago
8 0

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

3y+y = 15

4y = 15

y = 15/4

x = 3(15/4)

x = 45/4

The two numbers are 15/4 and 45/4

Vinvika [58]2 years ago
6 0
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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:

  • 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

#SPJ1

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