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blackops7959
26.02.2021 •
Mathematics
3. Find the Area of the circle:
9 in.
254.47 sq in
28.26 sq in
56,52 sq in
12.14 sq in
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Ответ:
Ответ:
1) The conjugate for
is
.
2) -111
3) It is because number and its conjugate have the same numbers but their second components are opposite to each other.
Step-by-step explanation:
1) A radical number of the form
,
, where the first component is a non-radical real number which acts as a "pivot" and the second component is the radical component, which generates a "displacement" from pivot.
The conjugate of
is a real number
,
, which that is "pivot" plus "displacement" in the direction opposite to that of
. We proceed to complement this explanation with the image attached below.
Then, the conjugate for
is
.
2) We proceed to performed all the need algebraic operation until result is found:
1)
Given
2)
Distributive property
3)
Definition of subtraction/ ![-a\cdot b = (-a)\cdot b](/tpl/images/1024/9058/4b3c3.png)
4)
Distributive, associative and commutative properties
5)
Definition of multiplication/
/Definition of square root
6)
Commutative, associative and distributive properties/![-a\cdot b = (-a)\cdot b](/tpl/images/1024/9058/4b3c3.png)
7)
Definition of subtraction/Existence of additive inverse
8)![-111+0](/tpl/images/1024/9058/41dde.png)
![a\cdot 0 = 0](/tpl/images/1024/9058/d07ed.png)
9)
Modulative property/Result
3) It is because number and its conjugate have the same numbers but their second components are opposite to each other.