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2 years ago

Factor completely.

Mathematics

2 answers:

lana [24]2 years ago

7 0

Answer:

Option c.

Step-by-step explanation:

The given expression is

$-2k-k^3-3k^2$

We need to find the factor form of the given expression.

Taking out HCF.

$-k(2+k^2+3k)$

Arrange the terms according to there degree.

$-k(k^2+3k+2)$

Splitting the middle terms we get

$-k(k^2+2k+k+2)$

$-k((k^2+2k)+(k+2))$

$-k(k(k+2)+(k+2))$

$-k(k+1)(k+2)$

The factor form of given expression is -k(k+1)(k+2). Therefore, the correct option is c.

uranmaximum [27]2 years ago

6 0

Answer:

-k (k+1) (k+2)

Step-by-step explanation:

-2k - k³ - 3k² (factor-k out)

-k (2 + k² + 3k) (rearrange to standard quadratic form)

-k (k² + 3k + 2) (factor expression inside parentheses using your favorite method)

-k (k+1) (k+2)

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Which property is illustrated by the following equation? - 10 + 8 = 8 + ( - 10 )

Snowcat [4.5K]

I believe it is commutative property cause the numbers didn't change instead they just switched places in the equation.

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3 years ago

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles

attashe74 [19]

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

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3 years ago

Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

Temka [501]

Lan is 146 centimeters tall now.

Explanation

Let, Lan's current height is $h$ centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = $(h+6)$ centimeters and Jim's current height = $(h-10)$ centimeters.