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4 years ago

Complete the explanation of the error.

Mathematics

1 answer:

miss Akunina [59]4 years ago

3 0

Answer:

-6

Step-by-step explanation:

-6 times -6 = 36

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4 years ago

Factor this expression completely, then place the factors in the proper location on the grid.

andreev551 [17]

Notice that you have a difference of cubes:

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2\right)^3-\left(\dfrac y3\right)^3$

which can be factored using the rule,

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

So,

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2-\dfrac y3\right)\left(\dfrac{x^2}4+\dfrac{xy}6+\dfrac{y^2}9\right)$

and just to make things look nicer, we can pull out 1/6 from the first factor and 1/36 from the second to get

$\dfrac{x^3}8-\dfrac{y^3}{27}=\dfrac1{216}(3x-2y)(9x^2+6xy+4y^2)$

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4 years ago

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3 years ago

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the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. wh

uranmaximum [27]

<h3>Answer:</h3>

$\sf { width =10 \sqrt{15} \:inches}$

<h3>Solution:</h3>

We are given that:

Area of rectangle is 30√3570
Length of the rectangle is 3√250

Area of rectangle is given by:

$\implies\quad{\pmb{ \sf{Area = length\times width}} }$

Hence, putting the values in the formula:

$\implies\quad \sf{ A = l\times w}$

$\implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}$

$\implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }$

$\implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}$

$\implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}$

$\implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}$

$\implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}$

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3 years ago