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Schach [20]
3 years ago
8

What are the coordinates (x, y) at which the graphs of 3.6x − 2y = 6 and −2.7x + y = 3 intersect? Round to the nearest tenth if

necessary.
Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0
3.6x - 2y = 6
-2.7x + y = 3.....multiply by 2
----------------
3.6x - 2y = 6
-5.4x + 2y = 6 (result of multiplying by 2)
----------------add
-1.8x = 12
x = 12/-1.8
x = - 6.67 (or -20/3)

3.6x - 2y = 6
3.6(-6.67) - 2y = 6
-24.01 - 2y = 6
-24.01 - 6 = 2y
-30.01 = 2y
-30.01 / 2 = y
-15 = y

solution : (-6.67, -15)
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What is the simplified expression for the expression below?
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3 years ago
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles
attashe74 [19]

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

4 0
3 years ago
I hope you guys can see the question, if not just let me know
QveST [7]

Answer:

The correct answer is 6.

Step-by-step explanation:

When translating and reflecting figures, the shape remains the same. So, the side of 2x-4 is corresponding to the side of 8 and they are equal to each other.

To solve, set up an equation like this to find x:

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Then, add 4 to both sides of the equation:

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The goal is to get x by itself and in order to do that, divide both sides by 2:

x=6

The value of x is 6. I hope this helps! ☺

3 0
3 years ago
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