Which of the following is a common denominator of 1/4 and 5/6? Answers:

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Answer:

C, 12

Step-by-step explanation:

least common multiple of 4 and 6 is:

prime factorization of 4: 2*2

prime factorization of 6: 3*2

common factors: 2, so you should only multiply one of the common 2s when multiplying the factors to get the least common multiple

2*2*3=12

12 is a common denominator of 1/4 and 5/6

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The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor

Anestetic [448]

2 positive unit tiles are needed to complete the factorization.

Given

The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.

<h3>Partial factorization;</h3>

Partial fractions are the fractions used for the decomposition of a rational expression.

When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.

In the second line, we can see that first term 1 is labeled + x squared, second is labeled + 2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).

Therefore,

The factorization is;

$\rm x^2-3x-10=0\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x+2)(x-5)=0$