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Len [333]
3 years ago
6

How many units above the x-axis is the point located at (9, 6)? pls help

Mathematics
2 answers:
gulaghasi [49]3 years ago
7 0

Answer:

6 points

Step-by-step explanation:

the y coordinate is 6, so therefore it is 6 higher

svetlana [45]3 years ago
4 0

Answer:

6 units above the x-axis

Step-by-step explanation:

The pair (9,6) are a set of coordinates that indicate how far away from the origin (0,0) the point is.

The coordinates are written (x,y) where 'x' is how far to the left or right of the y-axis (vertical) the point is. The 'y' is how far above or below the x-axis (horizontal) the point is.

So in this case, the set of (9,6) means that the point is located at 9 units to the right of the origin and the y-axis and 6 units above the x-axis

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Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.
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Answer:

3x+y=0

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

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substitute the given points

m=\frac{4-2}{2+4}

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simplify

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step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=\frac{1}{3}

so

m_2=-3

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})  

we have

H (-4,2), and I (2,4)

substitute

M(\frac{-4+2}{2},\frac{2+4}{2})

M(-1,3)  

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

y-y1=m(x-x1)

we have

m=-3

M(-1,3)  

substitute

y-3=-3(x+1)

step 5

Convert to slope intercept form

y=mx+b

Isolate the variable y

y-3=-3x-3

y=-3x-3+3

y=-3x

step 6

Convert to standard form

Ax+By=C

where

A is a positive integer

B and C are integers

y=-3x

Adds 3x both sides

3x+y=0

see the attached figure to better understand the problem

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