What is the y intercept of the graph of the inequality 2x + 3y > 12?
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Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
<h3>What is a slope?</h3>The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The angle is of 45º.
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
More can be learned about the slope concept at brainly.com/question/18090623
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An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and 
therefore, exchanging variables x and y:
and 
and 
Which are the figures shown below.
Then, the inverse function will be as follows:
Given that
∴
So:
therefore, exchanging variables x and y:
Which are the figures shown below.