Answer:
10
-------------
3x^2
Step-by-step explanation:
First lets simplify what is inside the square root
300x8
---------------
27x12
3 * 100 x^8
------------------
3 *9 x^12
The 3's cancel and we know a^b/ a^c = a^(b-c)
100/9 x^ (8-12)
100/9 x^-4
sqrt( 100/9 x^-4)
Put the negative exponent in the denominator and make it positive
sqrt( 100 / (9x^4) )
We know that sqrt( a / b) = sqrt(a) / sqrt( b)
sqrt(100)
----------------
sqrt( 9x^4)
10
-------------
3x^2
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EXPLANATION
The consecutive even numbers are
EXPLANATION
Let
be the first even number then, the next even number will be,
The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,
We multiply through with an LCM of 10 to get,
This simplifies to,
We expand the brackets to get,
We group like terms to get,
This simplifies to
Therefore the next even number is is
Answer:
angle 1
Step-by-step explanation:
Answer:
x^2 +6x-27
Step-by-step explanation: