A D P 55° С (5x-35)° B What is the value of x?

Find the product or type "impossible". 3 -5 4 2

katrin2010 [14]

Answer:

The product of $\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}$ is $\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}$ .

Step-by-step explanation:

A matrix is a rectangular arrangement of numbers into rows and columns.

Matrix multiplication refers to the product of two matrices.

The main condition of matrix multiplication is that the number of columns of the 1st matrix must equal to the number of rows of the 2nd one.

To find the product of $\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}$

$\mathrm{Multiply\:the\:rows\:of\:the\:first\:matrix\:by\:the\:columns\:of\:the\:second\:matrix}\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=3\cdot \:4+\left(-5\right)\left(-4\right)\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=3\cdot \:2+\left(-5\right)\cdot \:2\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=1\cdot \:4+7\left(-4\right)\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=1\cdot \:2+7\cdot \:2$

$\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}3\cdot \:4+\left(-5\right)\left(-4\right)&3\cdot \:2+\left(-5\right)\cdot \:2\\ 1\cdot \:4+7\left(-4\right)&1\cdot \:2+7\cdot \:2\end{pmatrix}$

$\mathrm{Simplify\:each\:element}\\\\\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}$

6 0

4 years ago

Forty eight feet equals how many yards?

Ainat [17]

Answer: 16yards

Step-by-step explanation:

48feet equals how many yards

Remember

1yard equals 3feet

Let the unknown yard be x

1yard equals 3feet

xyard equals 48feet

Cross multiply

3×X=48×1

X=48/3

X=16

Therefore

16yards equals 48feet

8 0

3 years ago

Help please I don’t understand

o-na [289]

Answer:

Look at the y-intercept and x-intercept

Step-by-step explanation:

Determine which one they're looking for by finding the intercept or slope.

5 0

3 years ago

Read 2 more answers

Im a breadstick grrrr

STatiana [176]

Answer:

based

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Question Help Factor the expression. 7y squared+10y+ 3

kirill [66]

7y^2 + 10y + 3

7y^2 + 7y + 3y + 3

(7y^2+7y) + (3y+3)

7y(y+1) + 3(y+1)

(7y+3)(y+1)

So the final answer is (7y+3)(y+1)

4 0

3 years ago