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2 years ago

Determine the intercepts of the line.

Mathematics

1 answer:

djverab [1.8K]2 years ago

5 0

$y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}$

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So we start by combining like terms;
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4 years ago

HELP!!!!

ch4aika [34]

Answer:

$8 y^{50}$

Step-by-step explanation:

Given (64 y Superscript 100 Baseline) Superscript one-half.

Let us write it into an equation.

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Apply radical rule: $\sqrt[n]{a}=a^{\frac{1}{2}}$ and $a^{m+n}=a^m+a^n$

$\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}$

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