Simplify each expression

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

8.-12y^10 9.-15z^17 10.a^3b^3/125 11. 9x^2y^6/z^4

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The radius of a circle is 19 in. Find its circumference in terms of π.

Natasha2012 [34]

Answer:

38π

Step-by-step explanation:

circumference= 2πr= 2×π×19=38π

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3 years ago

Find the value of x. If your answer is not a whole, leave it in the simplest radical form

Anestetic [448]

That line means the other side is also x

remember pythagoran theorem
for legs length a and b and hypootnuse length c
a²+b²=c²

so

legs aer x and x
hyptonuse is 6

x²+x²=6²
2x²=36
divide both sides by 2
x²=18
sqrt both sides
x=(√9)(√2)
x=3√2

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3 years ago

Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$