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3 years ago

Which point represents the unit rate?

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

Hey it’s C

Step-by-step explanation:

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Jacob solves the system of equations by forming a matrix equation.

Lyrx [107]

Simultaneous equations can be solved using inverse matrix operation.

The complete steps of Jacob's solution are:

$\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

We have:

$4x + y = 2$

$-2x + 4y = -22$

Calculate the determinant of $\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

$|A| = 4 \times 3 -1 \times -2$

$|A| = 12 +2$

$|A| = 14$

So, the inverse matrix becomes

$A = \frac{1}{14}\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

Replace the first column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of x

$x = \frac{1}{14}\left[\begin{array}{cc}2&1\\-22&3\end{array}\right]$

So, we have:

$x = \frac{1}{14}(2 \times 3 - 1 \times -22)$

$x = \frac{1}{14}(6 +22)$

$x = \frac{1}{14}(28)$

$x = 2$

Replace the second column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of y

$y = \frac{1}{14}\left[\begin{array}{cc}4&2\\-2&-22\end{array}\right]$

So, we have:

$y = \frac{1}{14}(4 \times -22 - 2 \times -2)$

$y = \frac{1}{14}(-88 +4)$

$y = \frac{1}{14}(-84)$

$y = -6$

Hence, the complete process is:

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

Read more about matrices at:

brainly.com/question/11367104

6 0

3 years ago

Help me plass plaas me

dezoksy [38]

Answer:

it isn't really visible . do it right

Step-by-step explanation:

please mark me brainiest like my answer and follow me on this

3 0

3 years ago

Read 2 more answers

What is the area, in square millimeters, of the parallelogram below?

mario62 [17]

Answer:

225

Step-by-step explanation:

If you move the bottom triangle up (as shown in the picture) it's not actually a square. And they haven't provided you with enough information to solve for anything unless there are still unknown values. You would need to know at least another leg length or angle. If they want the actual value in square millimeters, my best guess is that it's <em>supposed </em>to be a square. Since a square has sides of the same length, the area would be 15 * 15 which is 225.

3 0

3 years ago

A rocket is divided into three sections. The top section is one sixth the length of the bottom section. The middle section is on

Ratling [72]

The lengths are in the proportion
.. top : middle : bottom = 1 : 3 : 6
The top section is 1/(1 +3 +6) = 1/10 of the overall length, hence 24 ft.

4 0

4 years ago

Jeff had $20. He spent 18 of his money on lunch and 25 of his money at the movies.

Fynjy0 [20]

C 8.25 is the correct answer it is the most reasonable to aswell

7 0

3 years ago

Read 2 more answers