Solve the equation simultaneously. Y=x² + 2x + 1, Y= x²+2x - 2.. Solve for the values of X and Y.
1 answer:
The two functions should never intersect.
Since y = y, we can equate the other side of both equations together.
x^2 + 2x + 1 = x^2 + 2x - 2
Rearrange the equation to bring all the terms to one side.
0 = x^2 - x^2 + 2x - 2x - 2 - 1
0 = -3
You can see that does not make sense, so we can conclude that there are no points of intersection between the two functions.
I also graphed the functions. In the first pic you can see that the red is between the blue and they don't intersect. In the second pic I zoomed in so you can see the right side of the graph going up to y = 600 and the red is still between the blue.
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Answer:
37.55 m
Step-by-step explanation:
To find the perimeter, we have to add the lengths of each part of the figure.
We start from the circle on top. We see that its diameter is 10 m, therefore its radius is
r = 5 m
(because the radius is half the diameter). The perimeter of a circle is given by
However, here we have half a circle, so its perimeter is
Then continuing in a clockwise direction, we have to add the length of the side of 2 m:
Then we have two sides of a square of side 5 m, so:
Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:
Finally, we have one more side of length 2 m:
Therefore, the total perimeter is:
