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damaskus [11]
3 years ago
5

Write an expression that represents the area of a rectangle with length 4ab squared and width 2ab. (For any rectangle with lengt

h l and width w, A = lw.)
Mathematics
1 answer:
Drupady [299]3 years ago
8 0
The area of a rectangle is A=lw. Therefore, it can be represented here as: A=(4ab^2)(2ab).

Now, you can distribute.
4*2=8
a*a=a^2
b^2*b=b^3

The simplified expression is 8a^2b^3.

Hope this helps!!
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Find a 2 × 2 nondiagonal matrix whose eigenvalues are 5 and −3, and associated eigenvectors are −1 2 and 1 1 , respectively.
mel-nik [20]
You're given the diagonal decomposition of the matrix:

\begin{bmatrix}-1&1\\2&1\end{bmatrix}\begin{bmatrix}5&0\\0&-3\end{bmatrix}\begin{bmatrix}-1&1\\2&1\end{bmatrix}^{-1}

Computing the product yields

-\dfrac13\begin{bmatrix}1&8\\16&7\end{bmatrix}
5 0
3 years ago
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diamong [38]
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Read 2 more answers
A line that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. What is the value of v?
tekilochka [14]

Answer:

The value of v with given slop and points is - 6

Step-by-step explanation:

Given as :

Let x and y be the points of a line

So, x = ( - 3 , - 10 )    And  y = ( - 4 , v )

The given slop of line XY is - 4

Now, from slop equation :

Slop = \frac{(y2 - y1)}{(x2 - x1)}

Or, - 4 = \frac{(v + 10)}{(- 4 + 3)}

Or, - 4 =  \frac{(v + 10)}{(- 1)}

Or, v + 10 = ( -4 ) × (- 1 )

Or, v + 10 = 4

∴    v = 4 - 10 = - 6

Hence The value of v with given slop and points is - 6      Answer  

4 0
3 years ago
Dawn has 5\6 yard of lace. She uses 4\5 of it on a dress and the rest on a jewel box. How much does she use on the jewel box
mr_godi [17]

Answer:

Jewelry box:  1/6 yard

Step-by-step explanation:

4/5 (not 4\5) of her 5/6 yard goes into a dress:   (4/5)(5/6 yd) = 2/3 yard.

This is the same as 4/6 yard.  The amount of lace remaining, to be used on a jewelry box, is 5/6 - 4/6, or 1/6 yard.

3 0
3 years ago
(NEED ASAP) In Step 2 A. Addition b. Subtraction c. Multiplication d. Division
lilavasa [31]

Answer:

step 2 subtraction 4 mulltiplecation

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4. because .s in math means multiplecation

2. because it hasmore subtraction singhns in the problem

8 0
3 years ago
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