What is the y-intercept in the equation LaTeX: y=-3x+7y = − 3 x + 7?
1 answer:
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Answer:
12.58 feet.
Step-by-step explanation:
Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.
We have to find out the length of the base of the ramp.
Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.
If the base length is x feet, then we can write using the trigonometry
⇒ x = 14 cos 26° = 12.58 feet. (Answer)
9514 1404 393
Answer:
slope = 1
Step-by-step explanation:
In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:
slope = rise/run = 3/3
slope = 1
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It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.
Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.
