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3 years ago

Using a sheet of graph paper, solve the following system of equations graphically. x+y=0 x-y+2=0

Mathematics

1 answer:

motikmotik3 years ago

7 0

Answer:

(-1, 1)

Step-by-step explanation:

I used a graphing tool to graph the two lines. When graphed, the lines intercept at point (-1,1). Therefore, it is the solution to the system of equations.

Hope this helps.

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A vector u has a magnitude of 15 and a direction of 0 degrees. A vector v has a magnitude of 9 and a direction of 35 degrees. Fi

umka2103 [35]

Answer:

$\displaystyle \alpha \simeq 13^o$

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Step-by-step explanation:

<u>Sum Of Vectors</u>

Given

$\displaystyle \vec{u}=, \vec{v}=$

the sum of both is

$\displaystyle \vec{u}+\vec{u}=$

Given a vector

$\displaystyle \vec{x}=$

The magnitude of \vec x is

$\displaystyle \left | \vec{x} \right |=\sqrt{m^2+n^2}$

And the angle is forms with the positive x-axis is

$\displaystyle tan\alpha =\frac{n}{m}$

We have

$\displaystyle \vec{u}=$

Also

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$\displaystyle \vec{v}=< 7.372,5.162>$

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$\displaystyle \vec{u}+\vec{v}=$

The magnitude of the sum is

$\displaystyle \left | \vec{u}+\vec{v} \right |=\sqrt{22.732^2+5.162^2}=22.96$

We compute the angle (direction)

$\displaystyle tan\alpha =\frac{5.162}{22.732}=0.227$

$\displaystyle \alpha =12.79^o$

Rounding to the nearest integer

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3 years ago

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notsponge [240]

Answer:

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Step-by-step explanation:

hope this helps and lmk if you need anything!

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