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3 years ago

If you get an area of 45cm^2 then what is the length and width

1 answer:

8 0

assuming that you're referring to the length, width, and area of a rectangle, the length would be 9cm and the width would be 5cm.

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A= [1, 3; 2, 1], B=[3, 6; -1, 1]. Find AB & BA if possible

steposvetlana [31]

Answer:

$AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}$

Step-by-step explanation:

For two matrix P and Q, the product, say PQ is defined when:

The number of columns of P = The number of rows of Q

Since A is a 2×2 matrix and B is also a 2×2 matrix

Thus both AB and BA are possible.

So AB is:

$AB\Rightarrow\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\\AB\Rightarrow\quad \begin{bmatrix}3\times 1+3\times (-1) & 6\times 1+3\times 1\\3\times 2+1\times (-1) & 6\times 2+1\times 1\end{bmatrix}\\AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}$

BA is:

$BA\Rightarrow\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\\BA\Rightarrow\quad \begin{bmatrix}3\times 1+6\times 2 & 3\times 3+6\times 1\\(-1)\times 1+1\times 2 & (-1)\times 3+1\times 1\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}$

8 0

3 years ago

Hey!!! What is −6+(−12)

SSSSS [86.1K]

Answer:

-18

Step-by-step explanation:

Essentially the same as (-6) - 12

7 0

3 years ago

Read 2 more answers

Each solid is composed of a rectangular prism and a regular prism. Find the surface area of the solid.

Amanda [17]

1345 is answer but not sure

4 0

2 years ago

Select all the correct statements.

Vladimir [108]

Answer:I think it’s a,c,e

Step-by-step explanation:

4 0

3 years ago

It’s not 0.615 , or 0.75 or the one shown in the picture

Dafna1 [17]

$2.40714$

1) Let's evaluate that expression, given that a=4.9, b=-7, and c=-0.5

$\begin{gathered} a^3\div b^2+c^3 \\ (4.9)^3\div(-7)^2+(-0.5)^3= \\ \frac{4.9^3}{\left(-7\right)^2+\left(-0.5\right)^3} \\ \\ \frac{4.9^3}{48.875} \\ \\ \frac{117.649}{48.875} \\ \\ 2.40714 \end{gathered}$

Note that we have rewritten it as a fraction so that we can easily operate. Also, we have applied here the PEMDAS order of operations, prioritizing the exponents.

6 0

1 year ago