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Troyanec [42]
3 years ago
5

Which of the following is equivalent to the expression below?

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

4a^2-6b^2+12

Step-by-step explanation:

(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)

distribute the negative sign to each term in the 2nd expression

a^2-2b^2+3-4b^2+5+3a^2+4

combine like terms

4a^2-6b^2+12

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For this case we have the following equation:

4 ^ {(x-2)} = 8 ^ 6

We must create equivalent expressions in the equation, so that they have equal bases:

2 ^ {2 * (x-2)} = 2 ^ {3 * 6}

If the bases are the same, then the two expressions are only equal if the exponents are equal:

2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11

Answer:

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Step-by-step explanation:

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A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),
alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

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3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

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And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

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Sadie's dinner bill is $18, and she leaves
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