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olga_2 [115]
3 years ago
14

Can you help with my math​

Mathematics
1 answer:
Sloan [31]3 years ago
8 0
You eliminate two equations first then you find one variable, once u figured out one variable plug it into any equation and try to cancel out another variable, youll have two variables in the end and then just plug and u have ur answers
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Write the equation of the line that passes through (-2, 6) and (2, 14) in slope-<br> intercept form.
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Answer:

Y= 2x+10

Step-by-step explanation:

(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)

You add 2 every time

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An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and ot
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Find the magnitude of the net electric field at the origin (created by charges q1 and q2).
Readme [11.4K]

The direction of the net magnetic field is $167.36^{\circ}$

<h3>How to find the magnitude?</h3>

q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)

$q_2=6 \mathrm{nC}$ at (0.6,0)

$r_1=$Distance of $q_1$ from origin$=\sqrt{0.6^2+0.8^2}$

$r_2=$ Distance of $q_2$ from origin $=0.6$

$\mathrm{k}=$ Coulomb constant$=9times 10^9 \mathrm{Nm}^2 / \mathrm{C}^2$

Electric field is given by

&E_1=\frac{k q_1}{r_1^2} \\

&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\

&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}

&\theta=\tan ^{-1} \frac{0.8}{0.6} \\

&\Rightarrow \theta=53.13^{\circ} \\

&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\

&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}

&E_2=\frac{k q_2}{r_2^2} \\

&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\

&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}

The charge $q_2$ is on the $\mathrm{x}$ axis itself and it is pointing towards the origin (left side) so the sign will be negative

E_2=-150 \hat{i}

Resultant electric field

&E=E_1+E_2 \\

&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\

&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}

Magnitude of electric field is given by

&|E|=\sqrt{(-128.4)^2+28.8^2} \\

&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}

Magnitude of the net electric field is $121.6 \mathrm{~N} / \mathrm{C}$

Direction is given by

\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}

From the -x axis

(90+77.36)^{\circ}=167.36^{\circ}

The direction of the net magnetic field is $167.36^{\circ}$

To learn more about magnetic field, refer to:

brainly.com/question/26257705

#SPJ4

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1. Which of the following is a quadratic function?
kotykmax [81]

Answer:

Number 3 and 2

Step-by-step explanation:

you can use desmos to check ur answers

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GAZER GAZER INNA BUILDING MANN
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