Answer:
x = 1
Step-by-step explanation:
The line 1 passing through the points (-2,4), (0,2) and (1,1) is represented by the function f(x).
Again the line 2 is represented by y = g(x) and it passes through the points (-3,-3), (0,0) and (1,1).
So the only common point between line 1 and line 2 is (1,1) and it will be unique since two straight lines meet at only one point if they are not parallel.
Hence, for x = 1 input value produces the same output value y = 1 for the two functions f(x) and g(x) on the graph. (Answer)
Answer:
62
Step-by-step explanation:
The enclosing rectangle is 24 units long and 12 units high. Its area is ...
(24 units)(12 units) = 288 square units
The white circles obviously cover more than half the area, so the only viable answer choice is 62.
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If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...
A = πr² = (3.14)(6²) = 113.04
Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:
shaded area = 288 -226.08 = 61.92 ≈ 62
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
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A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
