$y+7=\frac{1}{2}(x+2)\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2y+14=x+2\ \ \ \ |subtract\ x\ and\ 2\ from\ both\ sides\\\\-x+2y+14-2=0\\\\-x+2y+12=0\ \ \ \ \ |change\ signs\\\\\boxed{x-2y-12=0}$

4 0

3 years ago

Help me with this question

kaheart [24]

First combine like terms and put the expression in standard form. This expression is now in simplest form and cannot be simplified anymore.
3a + 10ab - 7a^2b - 10ab^2 + 12ab - (-4) + (-a^2b) - 5a
-10ab^2 - 8a^2b -2a + 24ab - (-4)

Hope this helps

5 0

4 years ago

What is the measure of an angle whose sine is√3/2 ? 60 45 30

dem82 [27]

ANSWER

The required angle is
$60 \degree$

EXPLANATION

Let the angle whose sine is
$\frac{ \sqrt{3} }{2}$
be
$x \degree$

Then

$\sin(x \degree) = \frac{ \sqrt{3} }{2}$

We take the inverse sign of both sides to obtain,

$x = \sin ^{ - 1} ( \frac{ \sqrt{3} }{2} )$

We use our scientific calculator to evaluate and obtain,

$x = 60 \degree$

8 0

3 years ago

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