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3 years ago

Partition the number line into sixths then plot the fraction equal to 2/3

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

Draw a number line with 0 and 1 on it. Between these two values, divide the region into 6 equal smaller parts.

From 0 on the number line, count out 4 spaces until you arrive at 4/6 which reduces to 2/3.

See the diagram below.

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Solving Square Roots Worksheet (x - k)^2 : Part 1

iVinArrow [24]

Answer:

1. x = +/- 2 $\sqrt{2}$ - 7

2. x = $3$ +/- $2i\sqrt{3}$

3. n = $2$ +/- $i\sqrt{2}$

Step-by-step explanation:

1. Divide both sides by 2: (x + 7)^2 = 8

Square root both sides: x + 7 = +/- 2 $\sqrt{2}$

Subtract 7 from both sides: x = +/- 2 $\sqrt{2}$ - 7

2. Square root both sides: x - 3 = $\sqrt{-12}$

Since there is a negative inside the radical, we need to have an imaginary number: $i=\sqrt{-1}$ . So, $\sqrt{-12} =i\sqrt{12} =2i\sqrt{3}$

Add 3 to both sides: x = $3$ +/- $2i\sqrt{3}$

3. Divide by -5 from both sides: (n - 2)^2 = -2

Square root both sides: n - 2 = $\sqrt{-2}$

Again, we have to use i: $n-2=\sqrt{-2} =i\sqrt{2}$

Add 2 to both sides: n = $2$ +/- $i\sqrt{2}$

Hope this helps!

8 0

3 years ago

Read 2 more answers

Help meee plssss!!!!!

lakkis [162]

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

8 0

3 years ago

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

$f(0) = {0}^{2} - 1 = - 1$

$f(1) = {1}^{2} - 1 = 0$

$f(2) = {2}^{2} - 1 = 3$

$f(3) = {3}^{2} - 1 = 8$

$f(4) = {4}^{2} - 1 = 15$

When we generalize this pattern, we obtain:

$f(x) = {x}^{2} - 1$

This is the function equation.

The function rule is

$f: x\to \: {x}^{2} - 1$

8 0

3 years ago

Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6

Colt1911 [192]

Answer:

x = 2

Step-by-step explanation:

3 0

3 years ago

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Jane is 14 years older than mary. in five years jane will be one less than twice mary's age. what is the sum of jane and mary's

Elenna [48]

Answer =44. Hope this answer is helpful and correct.

4 0

3 years ago