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aliina [53]
3 years ago
14

*Need help asap* 25 points

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

y = x + 1

See below.

Step-by-step explanation:

To find the slope intercept form of a line, calculate the slope first.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-2}{3-1}=\frac{2}{2} = 1

So the slope is 1. Substitute m = 1 and (1,2) into the point slope form. Then simplify to slope intercept form.

y - 2 = 1 (x - 1)

y - 2 = x - 1

y = x + 1

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stellarik [79]

To turn 0.(6)=0.6666... into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 10^n to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 10^1 = 10. Thus, you have 10x = 10 \cdot 0.666... or 10x = 6.666.....

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 10x-x=6.666...-0.666...\\ 9x=6.

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 9x = 6. If you divide both sides by 9, you get x=\dfrac{6}{9}. When simplified, you get that x=\dfrac{2}{3}.

Answer: 0.(6)=0.666... =\dfrac{2}{3}.

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Orlov [11]

Answer:

c = 6√2

Step-by-step explanation:

The following data were obtained from the question:

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