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Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...
Answer:
True
Step-by-step explanation:
We have that,
The cone A has the length of the lateral side = h and the height of the cylinder B = h.
Since, the lateral surface areas are given by,
Lateral surface area of cone = , where l is the length of the lateral side.
So, we get =
.
Also, Lateral surface area of cylinder is , where h is the height of the cylinder.
So, we get =
Thus, we see that,
Hence, the given statement is correct.