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2 years ago

(xy + 2x2y – x2 + 6x3) – (2xy – 6x2y + 4x2 – 6x3) – ( – 2x3 + x2y) + ( – x3 + 4xy + 3x2y – 2x2)

Mathematics

1 answer:

Mazyrski [523]2 years ago

3 0

Answer: =-2(xy-6y-5)

Step-by-step explanation: multiply -(2xy-6 x 2y+ 4 x 2 -6 x 3) remove the parenthesis -2xy + 12 y - 8 +18 calculate -2xy+12y-8+18 factor the expression -2xy + 12y + 10 solution -2 (xy- 6y-5)

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

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krek1111 [17]

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Step-by-step explanation:-2

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Teddy was having trouble fitting into his clothes due to weight gain. In January, he weighed 180 lbs 6 oz. He gained 3 lbs 9 oz,

barxatty [35]

He weighs 196 lbs and 6 ounces. if you add the pounds (180 to 3, 5, 6)you get 194. then you add he ounces, and remember that there are 16 ounces in a pound and 8 ounces in a cup, (6 to 9, 12, 11) you get 2lbs and 6 ounces. then you add the 2 extra pounds to the 194 and you get, all together, 196 lbs and 6 ounces.

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Step-by-step explanation:

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