Is g(x)=-2f(x)+4 a vertical shift?
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If a quadrilateral is a rhombus then:
i) all its sides have equal length,
and
ii) the 2 diagonals are perpendicular and bisect each other.
The 2 diagonals of rhombus JKLM intersect at N.
Then m(MNJ)=90°, |JN|=4 and |NM|=3 units
thus, by the Pythagorean theorem,
The perimeter of the rhombus is 4*5 units=20 units.
Answer: 20 units
i) all its sides have equal length,
and
ii) the 2 diagonals are perpendicular and bisect each other.
The 2 diagonals of rhombus JKLM intersect at N.
Then m(MNJ)=90°, |JN|=4 and |NM|=3 units
thus, by the Pythagorean theorem,
The perimeter of the rhombus is 4*5 units=20 units.
Answer: 20 units
Let's rewrite the expression as
So, if , you may divide both sides by
, the equation becomes
, and the only solution is
, which means that this is not an identity (an indentity is tautologically true, no matter the value of x).
If instead , you are multiplying both sides by zero, so the equation becomes
So, it doesn't matter which value for x you choose, because you will always end up with , which is obviously always true.