A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft f
1 answer:
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First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form lies on y-axis.
Hope this helps :)
Answer:
The area is 28.
Step-by-step explanation:
Visualize the rectangle as 2 split squares.
The top square is easily 4x4, so the area of that part is 16.
Now visualize the bottom square as two rectangles.
To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h) because the dented side is actually just one half of the rectangle on the other side.
Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4) . So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.
Totaling these numbers, you get the area of the full rectangle.