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Goshia [24]
3 years ago
10

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.

Mathematics
2 answers:
amid [387]3 years ago
6 0

Answer:

A.

Step-by-step explanation:

x+(-a) is rational because it is the sum of two rational numbers. You can see them as fractions, if x and -a are rational numbers they can be represented by fractions and the sum of two fractions is a fraction, that is a rational number.

sp2606 [1]3 years ago
4 0
<span>B. it is the sum of two irrational numbers.</span>
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What is the midpoint of the line segment with endpoints of (-2,-2) and (4,6)?
slamgirl [31]

Answer:

option (d) is correct.

The mid points of the line segment whose ends points are (-2,-2) and (4,6) is (1,2)

Step-by-step explanation:

Given: end points of a line segment as (-2,-2) and (4,6)

We have to find the mid points of the line segment whose ends points are given.

Mid point formula is stated as ,

For a line having end points as \left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right) , the mid point can be calculated as,

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

Here,

\left(x_1,\:y_1\right)=\left(-2,\:-2\right),\:\left(x_2,\:y_2\right)=\left(4,\:6\right)

Substitute in mid point formula, we get,

=\left(\frac{4-2}{2},\:\frac{6-2}{2}\right)

Solving further , we get,

=\left(1,\:2\right)

Thus, the mid points of the line segment whose ends points are (-2,-2) and (4,6) is (1,2)

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alexgriva [62]

Answer:

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Step-by-step explanation:

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