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ICE Princess25 [194]
4 years ago
9

Find the distance between the two points rounding to the nearest tenth (if necessary)

Mathematics
1 answer:
Andrews [41]4 years ago
6 0

Answer:

The answer is

<h2>2.8 units </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,3) and (-1,5)

The distance is

d =  \sqrt{( { - 3 + 1})^{2} +  ({3 - 5})^{2}  }    \\  =  \sqrt{ ({ - 2})^{2} + ( { - 2})^{2}  }  \\  =  \sqrt{4 + 4}  \\  =  \sqrt{8}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 2 \sqrt{2}  \:  \:  \:  \:  \:  \:  \\  = 2.82842

We have the final answer as

<h3>2.8 units to the nearest tenth</h3>

Hope this helps you

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Answer:

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Step-by-step explanation:

we have

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we know that

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The vertex of the parabola is (4,-4)

so

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Part 2) The vertex of the equation above is also

we know that

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therefore

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Part 3) What is the vertex of the parabola described by the equation above

we know that

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therefore

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Part 4) What are the  x-intercepts of the parabola described by the equation above

we know that

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so

f(x)+4=(x-4)^{2}

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so

4=(x-4)^{2}

take square root both sides

(x-4)=(+/-)2

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x=4(+)2=6

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