Answer:
Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒ 
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So, 
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is (Answer)
180-39-55=86°
...........................
Uhh, these give me a headache, I think number 2 is array..
We cant Answer it because the amount of cards presented is incorrect
To Find Surface Area:
So Surface area is found according to this equation SA=2lw+2lh+2hw
6and 1/2 times 2 is 13 that would be the 2 sides
then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom
finally you do 3 times 9 1/5 which is 27 3/5.
Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.
Adding 5/10 and 6/10 is 11/10 or 1 1/10
13+6+9=28
28+1 1/10 = 29 1/10
and finally because we did surface area it is 29 1/10 CM^2
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To Find Volume:
The Equation used to find volume is l*w*h
The Length is 6 1/2
Height is 9 1/5
width is 3
First, lets again convert the fractions
5/10 and 6/10
6 5/10 times 9 6/10 is 62.4
62.4 times 3 is 187.2
The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5
Another way to check this is
6*9*3=162
1/5*1/2
Hope this helped :)
~Ukiahsmith1
