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tekilochka [14]
3 years ago
14

e="Expand $(a + 2)(3a^2 + 12)(a - 2).$" alt="Expand $(a + 2)(3a^2 + 12)(a - 2).$" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

3a^{4} - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3a^{4} + 12a² - 12a² - 48 ← collect like terms

= 3a^{4} - 48

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2 years ago
Jennifer used 0.42 gallons of paint to completely cover a square wall with an area of 168 square feet. Which measurement is clos
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Answer:

The answer to this question is: 12.96 ft ≈ 13 ft

Step-by-step explanation:

Data

Area 168 ft²

Length = ?

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But we do not need the volume of paint because we know that the wall is squared-shape.

Only we need to know the formula to obtain the area of an square.

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Step-by-step explanation:

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4 0
3 years ago
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
Anarel [89]

*Correct Question:

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 3/2. Is Theodore correct?

A. Yes, the triangles are similar with a scale factor of 3/2.

B. No, the triangles are similar with a scale factor of 2/1.

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D. No, the triangles are similar with a scale factor of 4/3.

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C. No, the triangles are similar with a scale factor of 2/3.

Step-by-step explanation:

∆TUV is the original triangle. After transformation, the size reduced to give us ∆WXY. This means ∆TUV was reduced by a scale factor to give ∆WXY. The scale factor should be a fraction, suggesting, the original size of the ∆ was reduced upon transformation.

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