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tatuchka [14]
2 years ago
5

My brain is lagging:<​

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
8 0

Distance between two points (-3, 4) and (5, -2) is 10 units.

Mid-point of the line segment joining (-1, -5) and (7, 1) is  (3, -2).

Degree of the given polynomial is 7.

6) Distance between two points (x_1, y_1) and (x_2, y_2) is:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between two points (-3, 4) and (5, -2) is:

=\sqrt{(5-(-3))^2+(-2-4)^2}

=\sqrt{(8)^2+(-6)^2}

=\sqrt{64+36}

=\sqrt{100}

=10

So, option D is correct.

7) Mid-point of the line segment joining (x_1, y_1) and (x_2, y_2) is:

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Mid-point of the line segment joining (-1, -5) and (7, 1) is:

(\frac{-1+7}{2}, \frac{-5+1}{2})

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

= (3, -2)

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

f(x)=3x^2-7x^4+9x^7+2x^3

Here, the highest power of the variable is 7.

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

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