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3 years ago

Simplify expression x^2 - xy + 2x/ 2x, step by step please.

Mathematics

1 answer:

Papessa [141]3 years ago

4 0

Answer:

x^2 - xy + 1

Step-by-step explanation:

x^2 - xy + 2x/2x

2x/2x = 1

x^2 - xy + 1

This is the furthest we can simplify this expression with the given information.

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Find the exact value of sin^-1(-√3/2)

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Answer:

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Step-by-step explanation:

Your calculator and/or your knowledge of trig function values can find this for you.

The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.

arcsin(-√3/2) = -60° = -π/3 radians

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2 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$

Blizzard [7]

$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
$8\equiv1\pmod7$
$2\equiv2\pmod7$
$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

$6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7$

$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$

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3 years ago

Dan and barney are members of different video game libraries. Dan pays a membership fee of $35, and he pays $4 for every video g

ella [17]

Dan pays $5 more than Barney because his membership fee is $35, while Barney's is only $30.

The answer is $5.

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3 years ago

Read 2 more answers

Simplify expression x^2 - xy + 2x/ 2x, step by step please. ​

Simplify expression x^2 - xy + 2x/ 2x, step by step please.