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Anvisha [2.4K]
1 year ago
6

Find the distance between (6, -7), (3, -5) round your answer to the nearest tenth

Mathematics
1 answer:
saw5 [17]1 year ago
3 0

Answer:

d ≈ 3.6 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )

d = \sqrt{(3-6)^2+(-5-(-7))^2}

   = \sqrt{(-3)^2+(-5+7)^2}

   = \sqrt{9+2^2}

   = \sqrt{9+4}

    = \sqrt{13}

    ≈ 3.6 ( to the nearest tenth )

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<h3><u>Solution</u><u>:</u></h3>

Please find the photograph for the square root of 3.

  1. Firstly, you have to write 3 as 3. 00 00 00.
  2. Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.
  3. Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200.
  4. Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100.
  5. Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100.
  6. So, we will get the quotient as 1.732 (corrected to three places of decimal).

4√3

= 4 × 1.732

= 6.928

<h3><u>Answer:</u></h3>

<u>6</u><u>.</u><u>9</u><u>2</u><u>8</u>

Hope it helps

8 0
2 years ago
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Answer:

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Step-by-step explanation:

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To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.

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After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.

x = 13

Therefore, the answer is 13.

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