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3 years ago

Look at this graph:

Mathematics

2 answers:

san4es73 [151]3 years ago

8 0

<h2>Answer:</h2>

The Slope is $\frac{1}{4}\\$

<h2>Explanation:</h2>

Notice that both the points, $(-7,-6)$ and $(-3,-5)$ , are on the line. So we can use those points to calculate the slope. Recall that that slope of the line $m$ can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ if we have the points, $(x_1,y_1)$ and $(x_2,y_2)$ .

<h3>Calculating for the slope of the line:</h3>

Given

$(-7,-6)$

$(-3,-5)$

$m = \frac{-5 -(-6)}{-3 -(-7)} \\ m = \frac{-5 +6}{-3 +7} \\ m = \frac{1}{4}$

oksian1 [2.3K]3 years ago

3 0

Answer:

-2-10

Step-by-step explanation:

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Find the product mentally.

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(2j+7)(2j−7)

=(2j+7)(2j+−7)

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3 years ago

Read 2 more answers

What is the solution of the system? Use elimination.

sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

Step-by-step explanation:

Given the system of the equations

$2x\:+\:2y\:+z\:=\:7$

$-x-\:y\:+z\:=\:-5$

$x+3y-4z=12$

solving the system of the equations by the elimination method

$\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}$

$\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10$

$\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}$

$-2x-2y+2z=-10$

$+$

$\underline{2x+2y+z=7}$

$3z=-3$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}$

$2x+6y-8z=24$

$-$

$\underline{2x+2y+z=7}$

$4y-9z=17$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}$

Rearranging the equations

$\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}$

solve $3z=-3$ for z:

$z=-1$

$\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1$

solve $4y-9\left(-1\right)=17$ for y:

$4y-9\left(-1\right)=17$

$4y+9=17$

$4y=8$

$y=2$

$\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2$

solve $2x+2\cdot \:2-1=7$ for x:

$2x+2\cdot \:2-1=7$

$2x+3=7$

$2x=4$

$x=2$

Therefore, the solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

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3 years ago

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Eddi Din [679]

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Step-by-step explanation:

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2 years ago

If an English teacher marks 220 essays in 28 hours 36 minutes, how long on average does it take to mark one essay?

Xelga [282]

First, let us break down 28 hours 36 minutes into minutes.

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3 years ago

Please answer this asap and please show work.

lesya692 [45]

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2 years ago