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4 years ago

Compare the fractions. Use <,=,or>. 1/3 4/6

Mathematics

2 answers:

Veronika [31]4 years ago

6 0

Answer:

1/3 < 2/3

Step-by-step explanation:

1/3 compared to 4/6

Simplify 4/6 by dividing the top and bottom by 2

4/5 = 2/3

Since the denominators are the same we compare the numerators

1/3 < 2/3

Advocard [28]4 years ago

5 0

1/3 is less than 4/6

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Marta_Voda [28]

-216 is the right answer!

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3 years ago

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The formula for the circumference of a circle is C = 2nr. Find the circumference of a

Sholpan [36]

Step-by-step explanation:

$circumference = 2\pi \: r \\ C = 2 \times 3.14 \times ( \frac{4}{2} ) \\ C = 12.56 \: ft$

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3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

4 years ago

Translate the sentence into an equation.

nekit [7.7K]

Answer:

6c - 7 = 5

Step-by-step explanation:

following the steps in the sentence.

because it is 7 less you have a subtraction problem ( -7)

because it is 6 and a number you have a multiplication problem (6c)

it equals 5 (=5)

8 0

3 years ago

What is the 3rd term of the linear sequence below: <br><br> 22,18,14,10,6...

Ratling [72]

Answer:

14

step by step explanation:

14

4 0

3 years ago