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3 years ago

I really need help please.

Mathematics

1 answer:

Vanyuwa [196]3 years ago

7 0

Answer:

= 3sqrt(10)

Step-by-step explanation:

The distance between two points is found by

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

= sqrt( 0--9)^2 +(-7--4)^2)

= sqrt( (9)^2 + (-7+4)^2)

= sqrt(9^2 + (-3)^2)

= sqrt(81+9)

= sqrt(90)

We know that sqrt(ab) = sqrt(a) sqrt(b)

= sqrt(9) sqrt(10)

= 3sqrt(10)

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Read 2 more answers

Write (8a-^3) -2/3 in simplest form

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Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

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Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

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