3 years ago

Can anyone help me with this question?

Mathematics

1 answer:

mina [271]3 years ago

8 0

Answer:

download photomath

Step-by-step explanation:

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Tcecarenko [31]

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3 years ago

Rationalize the numerator or denominator, and simplify:

allochka39001 [22]

$\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots$
$=\dfrac{x+h-x}\cdots=\dfrac h\cdots$

The $h$ s then cancel, leaving you with the $\cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}$ term.

If it's not clear what I did above, consider the substitution $a=\sqrt[3]{x+h}$ and $b=\sqrt[3]x$ . Then

$a^3-b^3=(a-b)(a^2+ab+b^2)$
$\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}$

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3 years ago

A line includes the points (3,4)and (6,10). What is its equation in slope- intercept form

chubhunter [2.5K]

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3 years ago

roman mixes 1.5 liters of orange juice w 800 milliliters of pineapple juice to make punch, for every 1 liter there are 1000 mill

Natali5045456 [20]

Answer:

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Step-by-step explanation:

800 ml (milliliters) = 0.8 l (liters)

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A triangle is graphed on a coordinate plane, with a vertex located at a point represented by (x,y).

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