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belka [17]
3 years ago
13

Use the sum of cubes identity to find the factors of the expression

E%7B3%7D" id="TexFormula1" title="8x^{6} +27y^{3}" alt="8x^{6} +27y^{3}" align="absmiddle" class="latex-formula">. Write your answer in the form of the expression on the right of the sum of cubes identity.
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

The left term is 8x⁶ = (2x²)³.

The right term is 27y³ = (3y)³.

The sum of cubes identity is

... a³ +b³ = (a +b)(a² -ab +b²)

Filling in the values for <em>a</em> and <em>b</em>, the factors of your expression are ...

... (2x² +3y)(4x⁴ -6x²y +9y²)

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12 is 24% of what number
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The answer is 200
explanation:
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Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
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9514 1404 393

Answer:

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  • 392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

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The total surface area adds the area of the base to that:

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3 0
3 years ago
Answer of a ²-10a+16-6b-b^2​
german

\quad a^2-10a+16-6b-b^2

$=(a^2-10a)-(b^2+6b) +16$

$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$

$=(a-5)^2-25-(b+3)^2+9+16$

$=(a-5)^2-(b+3)^2$

5 0
3 years ago
The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
Viefleur [7K]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 6)² = 16 is in this form

with r² = 16 ⇒ r = \sqrt{16} = 4

---------------------------------------------------------------

given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


5 0
3 years ago
What is 2/3 of 9000?
nikklg [1K]

Step-by-step explanation:

6000

your answer is 6000

4 0
3 years ago
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