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2 years ago

HI i need help i will give brainliest to correct answer

Mathematics

1 answer:

vodka [1.7K]2 years ago

8 0

Answer:

Slope m=2, y-intercept b=5 --> y=2x+5

Slope m=3, y-intercept b=5 --> y=3x+5

Slope m=5, y-intercept b=4 --> y=5x+4

Step-by-step explanation:

The slope number goes with x, and the y-intercept gets either added or subtracted from the end of the equation depending on weather it's positive or negative. (subtracted if it's negative and added if it's positive)

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3 years ago

Find the value of cos E rounded to the nearest hundredth, if necessary. please help thanks

bonufazy [111]

Answer:

cos(E)=0.8

Step-by-step explanation:

cos(E)=adjacent/hypotenuse

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2 years ago

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2 years ago

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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3 years ago