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il63 [147K]
3 years ago
15

Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25

Mathematics
1 answer:
user100 [1]3 years ago
8 0
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
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<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is of 126 feet.

At point A, the angle is of 6º, while the horizontal position is of x_A, hence:

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x_A = \frac{126}{\tan{6^\circ}}

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At point B, the angle is of 22º, while the horizontal position is of x_B, hence:

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d = x_A - x_B = 1198.8 - 311.9 \approx 887

More can be learned about the slope concept at brainly.com/question/18090623

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