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ch4aika [34]
2 years ago
8

Simplify the radical

Mathematics
1 answer:
mamaluj [8]2 years ago
4 0

Answer:

9d^3

Step-by-step explanation:

~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3

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Help please!<br><br> | 2x^2 + 5x + 3 | &gt; 0<br> solve the inequality
vovikov84 [41]

Factorize the quadratic.

2x^2 + 5x + 3 = (2x + 3) (x + 1)

We have |ab| = |a||b|, so

|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0

Now, both |2x+3|\ge0 and |x+1|\ge0 (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

(2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1

So the solution to the inequality is the set

\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}

3 0
2 years ago
Which expressions are equivalent to k/2?
AURORKA [14]

Answer:

C

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

6 0
3 years ago
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Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

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Edge: The meeting point of two faces is called an edge.

3 0
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Answer:

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