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3 years ago

Which explains whether or not the values in the table represent a direct variation?

Mathematics

1 answer:

Assoli18 [71]3 years ago

4 0

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

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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

What is the minimum value of the function y=|x+3|-2 ?

lesya692 [45]

Minimum value of the function is - 2

hope that helps

6 0

3 years ago

Help!!! Please Answer

adell [148]

Answer:

d sorry if I'm wrong...

6 0

3 years ago

How do you do these plz help

vichka [17]

Yfsbbffvxukgdfjddf h

4 0

3 years ago

If 1 ft = 1.894 x 10 -4miles, convert 20.0 inches to miles

Yakvenalex [24]

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12 miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

3 0

2 years ago