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scoray [572]
3 years ago
8

Find the positive square root of 0.00822649

Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

Step-by-step explanation: Although you did not specify, perhaps your were supposed to find some way to do this without a calculator. First ignore the decimals and think about 822649

900 * 900 = 810000 so the first digit of the square root is a 9

The last two numbers are 49 so the square root ends in a 7

Assume the square root is 9a7 where a is not known and expand

(907 + 10a)^2 = 822649 + other terms in a = 822649

a = 0, and we have found 822649 = 907 ^2

0.00822649 is obtained from 822649 by moving the decimal point 8 places

That tells us the square root is obtained from by moving 4 places

The answer is 0.0907......

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<h3><u>The correct answer is: B.</u></h3>

We could use a graphing calculator to solve this easily, but let's just solve it by looking at the equation.

We'll need to turn this standard form equation into a slope-intercept form equation to be able to easily solve it.

Isolate y.

2x - 3y = 7

<em><u>Add 3y to both sides.</u></em>

2x = 3y + 7

<em><u>Subtract 7 from both sides.</u></em>

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<em><u>Divide both sides by 3.</u></em>

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Now, we can plug each x value in the answer choices into x to find the corresponding y value.

y = 2/3(7) - 7/3 = 2.34

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y = 2/3(-9) - 7/3 = -8.34

This y value doesn't match either, so C is not the answer.

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