The first step it to combine like terms which would be subtract 5x -2x which would be 3x
now you’re left with; -8=5x+3 now you have to subtract 3 from -8
which would be -11=5x and than you divide
hope that helps!! :)
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)
For the answer to the question above, this is a right triangle problem using the tangent function.
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
The probability that a vowel will land face up on the cube would be 1/2. This is because there are six total letters; three vowels and three consonants, so there is a 3/6 chance of it being a vowel and you simplify it down to 1/2. I hope this helped :)
