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2 years ago

6x+7x=4x+4y complete the missing value in the solution to the equation (?,-4)

Mathematics

1 answer:

natima [27]2 years ago

3 0

Put in -4 for y

13x=4x+4(-4)
Subtract 4x from both sides
9x= -16
Divide both sides by 9
X=-16/9

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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
$m_1 \times m_2 = - 1$

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

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,

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

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

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

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

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

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Answer:

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Math problem I need help giving brainlist

Liono4ka [1.6K]

Answer:

x = 28

Step-by-step explanation:

7(8 - x) = -5x

56 - 7x = -5x Distribute 7 to the parenthesis

56 = 2x Add -7x to both sides

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