ZC is opposite с ОА. до ов. Вс ос. AB O D. AC and BC OE. ZA ООО OF C
1 answer:
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Answer:
Explanation:
A circle whose center is and radius
, has equation:
The center of circle is given as origin , therefore:
This circle passes , then the radius of circle is the distance
between origin
and
=>
Substitute ,
, and
back into original equation:
or
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Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
<h3>What is the continuity concept?</h3>A function f(x) is continuous at x = a if it is defined at x = a, and:
The definition of the piecewise function is given by:
- f(x) = 2x - 1, x < 2.
- f(x) = 3x/2, x >= 2.
Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.
The lateral limits are:
.
.
The numeric value is:
f(2) = 1.5 x 2 = 3.
Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
More can be learned about the continuity concept at brainly.com/question/24637240
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