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2 years ago

How to find missing angles

Mathematics

1 answer:

mafiozo [28]2 years ago

6 0

Step 1: Add together the known angles.
Step 2: Subtract the sum from 180°.

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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

Here is a pattern made from sticks:

oee [108]

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

5 0

2 years ago

Solve x 3+3(x+2)=-24

gregori [183]

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

8 0

2 years ago

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The formula for simple interest is

Vikentia [17]

Answer:

p(r+1)

Step-by-step explanation:

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2 years ago

8(C - 9) = 6(20 - 12) - 40

krek1111 [17]

Answer:

All Real Numbers

Step-by-step explanation:

Any value of <em>c</em> makes the equation true.

Interval Notation

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2 years ago

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