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3 years ago

EXPLANATION?????

Mathematics

2 answers:

KonstantinChe [14]3 years ago

5 0

Hiiii. The value is x 19

crimeas [40]3 years ago

4 0

Answer:

Hello! answer: x = 19

Step-by-step explanation:

This is a supplementary angle! So it will add up to 180 degrees 180 - 123 = 57 so we know something multiplied by 3 will equal 57 and 19 × 3 = 57 so x = 19 Hope this is a good explanation!

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

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This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

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This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

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Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

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Answer:

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