What is the factorization of 1,000x6 – 27? (10x2 – 3)(100x2 + 30x2 + 9) (10x2 – 3)(100x4 + 30x2 + 9) (10x3 – 3)(100x2 + 30x3 + 9
2 answers:
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Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.
The Pythagorean Theorem says so
Now solve using the Quadratic Formula with .
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
