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Rama09 [41]
3 years ago
5

Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

The answer is

<h2>(4 \:  , \:  - 6)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M  = ( \frac{x1 + x2}{2} ,  \:  \frac{y1 + y2}{2} )</h3>

where

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

From the question the points are

(7,−2) and (1,−10)

The midpoint is

<h3>M = ( \frac{7 + 1}{2}   ,  \:  \frac{ - 2 - 10}{2} ) \\  = ( \frac{8}{2} , \:  -  \frac{12}{2} )</h3>

We have the final answer as

<h3>(4 \:  , \:  - 6)</h3>

Hope this helps you

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Step-by-step explanation:

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The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to pain
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Answer: it will take 5 people 6.4 hours to do the work.

Step-by-step explanation:

The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

h is inversely proportional to p

Introducing a constant of variation, k, it means that

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7 0
3 years ago
Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
3 years ago
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