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yKpoI14uk [10]
3 years ago
10

Brianna solved a two-step equation, but she made a mistake along the way.

Mathematics
2 answers:
nlexa [21]3 years ago
8 0

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. is correct

Makovka662 [10]3 years ago
3 0

The appropriate choice is ...

... On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

_____

Had Brianna simplified her effort properly on line 4, she would have

... -0.1 +0.1x = -1.4

putting her essentially back where she started—with a 2-step equation.

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Answers:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as (x,y) \to (x,-y)

Applying this rule to the three given points will mean....

  • Point A = (-2, 3) becomes A ' = (-2, -3)
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The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

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3 years ago
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timofeeve [1]

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Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

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xcos(47)=28           [divide both sides by cos(47)]

x=\frac{28}{cos(47)}

When we plug that into a calculator, we get x=41.1.

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