Step-by-step explanation:
Let x represent the missing side length.
By Pythagoras' Theorem,
We have x² + 12² = 13².
Therefore x² = 13² - 12² = 25 and x = 5.
(x = -5 is rejected as side lengths are positive)
Answer:27d
Step-by-step explanation:
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First of all, assuming that the "ground level" is 0;
The lift is not starting from 0, so we also need to account for the extra 15 meters above the ground the lift is.
The total distance the lift would cover in the downward direction: 15+350=365m
Now, you know that the lift covers 5 m/min
Therefore, 5x=365 (ignoring units because they can complicate things)
x=365/5
x=73 minutes
Therefore, they would take 73 minutes to reach 350 m deep into the ground with a starting position 15 m above the ground.
Hope I helped :)
Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.
For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.
We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
The equation of our line is

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