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Lady_Fox [76]
2 years ago
8

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

how your work.
Please help!
Mathematics
1 answer:
amid [387]2 years ago
8 0

Answer:

y = (3/2)x + 8

Step-by-step explanation:

Hi

First let's find the slope of the given line by converting to slope-intercept form:-

2x + 3y = 9

3y = -2x + 9

y = (-2/3)x + 3

From this we see that the slope is -2/3.

The slope of a line perpendicular to this one will be - 1 /  (-2/3)

= 3/2.    ( because for a line and its perpendicular, the slopes' product = -1).

Using the point-slope form  to find the equation of this line

y - y1 = m(x - x1).  Here m = slope and (x1, y1) is a point on the line.

Plugging in the given values ,  m = 3/2 , x1 = -2 and y1 = 5:-

y - 5 = 3/2 (x - -2)

y - 5 = 3/2x + 3

y = (3/2)x + 8   which is the equation in slope-intercept form.

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dlinn [17]

Answer:

0.2 or 1/5

Step-by-step explanation:

-4(50x - 20) = 10x + 15 + 23

-200x + 80 = 10x + 38

80 = 210x + 38

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Hope this helps! Pls give brainliest!

3 0
2 years ago
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What is the reciprocal of 1 and 2/3?
mr_godi [17]

Answer: 3/5

Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.

To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.

So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.

Now we put our new number over our old denominator and we get 5/3.

However, we're not done yet. We still need to find the reciprocal.

The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.

So if we switch 5/3, we get the proper fraction 3/5.

Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.

7 0
3 years ago
Easy math question please help
Sophie [7]

Answer:

135 = x

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to and exterior angle that is supplementary to the third interior angles

88 + 47 = x

135 = x

4 0
2 years ago
What is the solution to this equation? x/-5=15
Murrr4er [49]

Answer:

x = -75

Step-by-step explanation:

x/-5=15

x = 15 x -5

x = -75

8 0
3 years ago
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Y = X3 – X –1 if x = -1, Y = ?
Akimi4 [234]

Answer:

-3

hope this helps!

Step-by-step explanation:

(-1)3 - (-1) - 1 =

-3 - (-1) - 1 =

-2 - 1 = -3

6 0
3 years ago
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