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nalin [4]
3 years ago
13

Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line Y=-3x-2

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The slope of a line perpendicular to the given line y = -3x - 2 would have to be the negative reciprocal of the slope of the given line:

or, in other words,

the negative reciprocal of -3.  That would be +1/3.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.  

We substitute the coordinates of the given point, (-9,4), and the slope +1/3:

4 = (1/3)(-9) + b.

This simplifies to

4 = -3 + b, from which it can be easily seen that b = 7.

The desired line is y = (1/3)x + 7.

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3 years ago
Hawaii 0.288% = what fraction
Sindrei [870]

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125


Step-by-step explanation:

Step 1: 0.288 = 288⁄1000  

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",



<em>Or for the lowest term:</em>

Therefore 0.288% can be written as  

0.288

100

.

Next, we can multiply by  

1

in the form of  

1000

1000

to eliminate the decimal in the numerator:

1000

1000

×

0.288

100

⇒

1000

×

0.288

1000

×

100

⇒

288

100000

.

We can now reduce the fraction as:

288

100000

⇒

32

×

9

32

×

3125

⇒

32

×

9

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⇒

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