You have the correct answer. Nice work. If you need to see the steps, then see below
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First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1
Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3
So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint
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Now we must find the slope of segment HI
H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3
So the slope of the perpendicular bisector is -3
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Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0
So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x
So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)
Where are the following choices
Answer:
Its D.
Step-by-step explanation:
All of the other answers don’t make sense and my gut it telling me that its D.
(5300 + 1335.6) = 5300(1 + 0.07)^n where n is the number of years required
6635.6 = 5300(1.07)^n
(1.07)^n = 1.252
n log 1.07 = log 1.252
n = log 1.252 / log 1.07 = 3.32 years Answer
If the income of a person is Rs 18,000 per month , the exemption of the income is Rs 1,40,000 per year, If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.
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</h3><h3>Tax percentage</h3>
Given:
Income of a person=Rs 18,000 per month
Exemption income per year=140,000
Income tax paid=11,400
First step is to the calculate the Income per year since the income of a person is Rs 18,000 per month
Income per year= 18,000 ×12
Income per year=216,000
Second step is to calculate the taxable income
Taxable income=216,000-140,000
Taxable income=76,000
Third step is to calculate the tax Percentage per annum
Tax percentage=11,400/76,000×100
Tax percentage=15%
Therefore If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.
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Learn more about tax percentage here:brainly.com/question/24274714
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