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3 years ago

Which mathematics property justify the following statement? 3(5x+2)=3×5x+3×2

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

<span>3(5x+2)=3×5x+3×2

Distributive property....</span>

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Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (

valentinak56 [21]

Answer:

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4) and (5, 1, 0)

$A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]$

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0

2 years ago

5/6 + 5/6 how do you simplify the answer

aev [14]

Do a t chart with the factors and then add the greatest common factor (GCF) with the fraction

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3 years ago

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Angle 3 is equal to angle

Phoenix [80]

Angle 3 is equal to angle 5 because of vertical angles.

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Simplify.

aleksley [76]

First multiply (-5/6) and (1/6) to get
$- \frac{5}{36}$
then you subtract that from (8/9) to get
$\frac{27}{36}$
final answer is
$\frac{3}{4}$

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2 years ago

What is the Square route of 4

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