3 years ago

How many hours are in 186 minutes express this as a mixed number and as a decimal

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

186 minutes is 3 hours and 6 minutes. As a decimal this is 3.1 hours and as a mixed number it is 186/60.

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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

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

6 0

3 years ago

Will mark brainliest for whoever answers correctly

siniylev [52]

I think it is D:{5,-infinity}

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2 years ago

Help me out with this please!<br><br> No links to suspicious sites other than Brainly!

Shalnov [3]

Answer: E and F.

4 * 4 * 4 = 64, and 64 = 64.

-1 * -1 * -1 = 1, and 1 = 1

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3 years ago