Answer:
(6 + m²)(6 + m²) . . . . . . . lower left selection
Step-by-step explanation:
When in doubt, you can multiply out the offered factorizations and see which one gives you the given expression.
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A lot of math is about pattern matching. The given trinomial has first and last terms that are perfect squares. The first term is the square of 6. The last term is the square of m². The middle term is double the product of these two square roots: 2·(6m²) = 12m².
This pattern matches the special form of the square of a binomial:
(a + b)² = a² + 2ab + b²
This special form is useful to commit to memory (at least while you're in math classes in school).
So, when you see 6² + 2·6·m² + (m²)², you can recognize that it is the square ...
(6 + m²)²
When this is written out in the way the answer choices are written, it looks like ...
(6 + m²)(6 + m²)
The answer is 26.68, btw do you keep getting those bots too?
Answer:
19.2
Step-by-step explanation:
Okay, so if we slice this rectangle in half along the diagonal, we see that we can use the Pythagorean Theorem, a^2+b^2=c^2 to find the length of the diagonal. 12^2+15^2=369. The square root of 396 is 19.20937... rounded to the tenths is 19.2.
Answer:
- 60 percent of a number subtracted from 25
- 4 more than 2/3 of a number
Step-by-step explanation:
"60 percent of a number subtracted from 25" is a phrase that translates into 0.6 for 60% and "of a number" as 0.6x. Take this number and its subtracted from 25: 25-0.6x.
"4 more than two thirds of a number" is a phrase that translates into addition for "4 more" and multiplication with "two thirds of a number". This means 4 + 2/3y.
