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dsp73
3 years ago
5

Please help for 12 points

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer:

Step-by-step explanation:

The solution to a system of equations by graphing is found by graphing both equations on a coordinate plane. The solution is the point at which the lines intersect.

<u>First, put both equations in slope-intercept form:</u>

y = x + 4    Already in slope-intercept form

x - y = 1      Isolate y.

-y = -x + 1   Multiply both sides by -1.

y = x - 1

<u>Next, graph both lines:</u>

(See attachment)

In this situation, the lines don't intersect, meaning there is no solution to this system.

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Answer:

see below

Step-by-step explanation:

• find x

use tan rule

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tan ( 60 ) x 7 = 12 . 1

x = 12. 1

• find y

you can either use Pythagoras theorem or the sin rule

let's use sin

sin ( 30 ) = 7 / y

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hope this helps, please mark it

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Find the equation of the plane passing through the points
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(which are unique up to their signs, meaning either \vec n_1 or -\vec n_1 are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both \vec n_1 and \vec n_2, which in turn means its own normal vector \vec n_3 should be perpendicular to both \vec n_1 and \vec n_2.

Enter the cross product:

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or (4, 5, 3), which also works.

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\boxed{4x+5y+3z=13}

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