Use the Distributive Property to simplify the expression. 7(2 + 6 - 4d) =

Mathematics

2 answers:

Maslowich2 years ago

8 0

Answer:

56-28d

Step-by-step explanation:

larisa [96]2 years ago

6 0

Answer:

56 - 28d

Step-by-step explanation:

1) First, combine the like terms within the parentheses. So, add 2 and 6 together:

$7(2+6-4d)\\7(8-4d)$

2) Then, use the distributive property to simplify further. To use the distributive property, you need to multiply all the terms within a set of parentheses by the number that needs to be multiplied next to it. So, in this case, multiply both 8 and -4d by 7:

$7(8-4d)\\56-28d$

Since we cannot simplify further or combine like terms, 56 - 28d is the simplified expression.

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Given the vector (4|3) and the transformation matrix (0|1|-1|0), which vector is the imagine after applying the transformation t

horrorfan [7]

Answer:

C.(3|-4)

Step-by-step explanation:

Given the vector:

$\left[\begin{array}{ccc}4\\3\end{array}\right]$

The transformation Matrix is:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$

The image of the vector after applying the transformation will be:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4\\3\end{array}\right]\\\\=\left[\begin{array}{ccc}0*4+1*3\\-1*4+0*3\end{array}\right]\\\\=\left[\begin{array}{ccc}3\\-4\end{array}\right]$