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Ray Of Light [21]
2 years ago
12

Find the length of the line segment displayed below. Round your answer to the nearest hundredth (2 decimal places)

Mathematics
1 answer:
svlad2 [7]2 years ago
8 0

Answer:

AB=5.83

Step-by-step explanation:

Distance Formula=

\sqrt{(x2 - x1)^{2}  - (y2 - y1)^{2} }

Plugging our values in, we get:

\sqrt{(7 - 2)^{2} + (4 - 1)^{2}  }

And if we solve it like this:

\sqrt{25 + 9}

We end up with:

\sqrt{34}

Which is about 5.83

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Two of the lights at the local stadium are flickering. They both just flickered at the same time.
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Wally purchased a bag of marbles on Monday. On Tuesday he gave half of the marbles to his brother, James. On Wednesday he gave t
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2 years ago
Rewrite the expression with a rational exponent as a radical expression.
Nuetrik [128]

Answer:

Rewriting the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression we get \mathbf{\sqrt[9]{3} }

Step-by-step explanation:

We need to rewrite the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression.

The expression given is:

(3^\frac{2}{3})^\frac{1}{6}

First we will simply the expression using exponent rule (a^m)^n=a^{mn}

(3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})

As we know 2 and 18 are both divisible by 2, we can write

=(3^\frac{1}{9})

Now we know that a^\frac{1}{9}=\sqrt[9]{a}

Using this we get

=\sqrt[9]{3}

So, rewriting the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression we get \mathbf{\sqrt[9]{3} }

3 0
3 years ago
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