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MrRa [10]
3 years ago
11

I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal

lenge, can you help me out?

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0
1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational.  Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. <span>√4 = 2, rational.</span>

√4 + <span>√16 = 2 + 4 = 6. rational
</span>√5 + √36...<span> irrational
</span>√9 + <span>√24... irrational
</span>2 × <span>√4 = 2 × 2 = 4. rational
</span>√49 × <span>√81 = 7 × 9 = 63. rational
</span>3√12... irrational

2. n^\frac12=\sqrtn
9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29

3. \frac{n^a}{n^b}=n^{a-b}

\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}

4. n^\frac1x=\sqrt[x]n

\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}

5. \sqrt{a}\times\sqrt{b}=\sqrt{ab}

\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6

A, since neither 3 nor 12 is a square but we end up with 6.
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I only need help on number 8 please
Setler [38]

Answer:

A y =

1

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Step-by-step explanation:

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A parabola can be drawn given a focus of (4,-8) and a directrix of x = -4. What can be said about the parabola?
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Answer:

It opens to the right and the vertex is at  (0, -8).

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The length of the diagonal of a square is 6√2. What is the length of one side?
Maurinko [17]

Answer:

6

Step-by-step explanation:

Given in the question that,

length of the diagonal of a square = 6√2

As we know that a square have all lengths equal in size and lengths are perpendicular to each other so to solve this question we will use pythagorus theorem

hypotenuse² = base² + height²

here,

hypotenuse is the diagonal of the square

base and height side length of the square

Plug value in the formula

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<h3>l = 6</h3>

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