Identify the cross section of the solid shown in the image.
1 answer:
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(a)
slope of f(x):
We can select any two points to find slope
(0,-3) and (1,0)
now, we can use slope formula
now, we can plug values
slope of g(x):
we can compare it with slope intercept form of line
we get
so, we can see that slope of f(x) is 3 while slope of g(x) is 4
so, slope of g(x) is greater than slope of f(x)
(b)
y-intercept of f(x):
we know that y-intercept is value of y when x=0
we are given point (0,-3)
so, y-intercept is -3
y-intercept of g(x):
we know that y-intercept is value of y when x=0
so, we can plug x=0 and find y
so, y-intercept is -5
Since, -3 is greater than -5
Hence , y-intercept of f(x) has greater value.........Answer
Answer:
In the image attached , point G would be the best location for the amphitheatre.
Step-by-step explanation: The developer in order to find the best location for the amphitheatre, needs to find the centroid of the triangle shaped city.
Centroid can be find out easily by finding out the intersection points of all the medians. So we find it by joining TOWN A to midpoint of TOWN B and C , TOWN B to midpoint of TOWN A and C , TOWN C to midpoint of TOWN A and B. And we can observe where these three lines meet is our required point G and also the best location for amphitheatre.
