4 years ago

9) A rectangle has a base of 4x – 3 and a

Mathematics

1 answer:

Alona [7]4 years ago

5 0

4x^2-7x+3 is the area

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A bicycle wheel has a radius of 10 inches. what distance, rounded to the nearest tenth of an inch, does the bike travel forward

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2/5+1/3=<br> What is the answer

Alex Ar [27]

Answer:

11/15 OR 0.73

Step-by-step explanation:

2/5 ---> 6/15

1/3 ---> 5/15

6/15 + 5/15 = 11/15

2/5 ---> 0.4

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Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Nookie1986 [14]

Answer:

$(2\cdot 6)^{\frac{3}{2}}=24(3)^{\frac{1}{2}}$

Step-by-step explanation:

The given expression is $(2*6)^{\frac{3}{2}}$

We multiply within the parenthesis to get:

$(12)^{\frac{3}{2}}$

Recall that: $a^{\frac{m}{n} } =\sqrt[n]{x^m}$

We apply this property to get:

$(12)^{\frac{3}{2}}=\sqrt{12^3}$

$(12)^{\frac{3}{2}}=\sqrt{12^2*12}$

This simplifies to

$(12)^{\frac{3}{2}}=12\sqrt{12}$

We can simplify further

$(12)^{\frac{3}{2}}=12\sqrt{4*3}=12*2\sqrt{3}=24\sqrt{3}$

We rewrite as rational exponent $24(3)^{\frac{1}{2}}$

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