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2 years ago

Solve each absolute value equation number 1 |2x-3|=7

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

3 0

Answer:

x = -2, 5.

Step-by-step explanation:

|2x - 3| = 7

2x - 3 = 7

2x = 10

x = 5 or:

2x - 3 = -7

2x = -4

x = -2.

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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

Please help me with this question!! fast

lilavasa [31]

The answer would have to be B because of the pi.

4 0

2 years ago

Read 2 more answers

(0,5) (3,4) into an equation

kati45 [8]

Answer:

5-4 over/fraction of -3

Step-by-step explanation:

k that should be right just think of it as you're finding the slope of a line on a graph k

8 0

2 years ago

What is the slope of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)left par

user100 [1]

Answer:

5/7

Step-by-step explanation:

We have two points ( 2,-2) and (9,3)

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= ( 3- -2)/( 9-2)

= ( 3+2)/(9-3)

= 5/7

8 0

1 year ago

Here is a rectangle ABCD.

bearhunter [10]

Answer:

25% increase

Step-by-step explanation:

length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)

the area before it gets increased it 600

after the increase its 792

and 600 is 75.75% of 792

so it would be 25.25% increase

sorry this was so long hope this helps

8 0

2 years ago

Solve each absolute value equation number 1 |2x-3|=7​

Solve each absolute value equation number 1 |2x-3|=7