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Naya [18.7K]
4 years ago
6

Which expression represents 12x³-6x²+2x ÷2x in simplest form?​

Mathematics
1 answer:
Elden [556K]4 years ago
5 0

Answer:

x^2 (12 x - 5)

Step-by-step explanation:

Simplify the following:

12 x^3 + (2 x x)/2 - 6 x^2

(2 x x)/2 = 2/2×x x = x x:

12 x^3 + x x - 6 x^2

x x = x^2:

12 x^3 + x^2 - 6 x^2

x^2 - 6 x^2 = -5 x^2:

12 x^3 + -5 x^2

Factor x^2 out of 12 x^3 - 5 x^2:

Answer: x^2 (12 x - 5)

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Solve the right triangle shown in the figure. A=45, AC=14km, C=90<br> C.
Drupady [299]

Answer:

B = 45°

BC = 14 km

AB = 14√2 km ≈ 19.80 km

Step-by-step explanation:

If one acute angle (A) of a right triangle is 45°, then the other one is also:

... 180° -90° -45° = 45°

The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.

... AB² = AC² +BC²

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4 0
3 years ago
Translate the phrase into algebraic expression seven more than twice Jose’s height using the variable J to represent Jose height
Mkey [24]

Answer:

<em>2j+7</em>

Step-by-step explanation:

<u>Phrase Into Algebraic Expression</u>

If a problem is correctly phrased, it should be easily translated into algebraic language by following simple and concrete rules.

We have the phrase:

<em>7 more than twice Jose's height.</em>

Usually, we first deal with products and divisions before sums and subtractions because of the natural order of mathematic operations.

In the given phrase, the '7 more' part is left to the end and we start with the 'twice' part because it's a product.

Since we are using the variable j for Jose's height, then twice Jose's height is 2j.

Now we finish the expression by adding 7: 2j+7

Thus, the translation to algebraic expression is: 2j+7

8 0
3 years ago
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