Answer:
4y= -x - 28
Step-by-step explanation:
the products of the gradient of parallel lines is 1
m1 x m2=1.......(1)
8-4x=0
re-arranging we have
0=-4x +8
comparing with y=mx +c we have
m1=-4
put the value of m1 in eqn 1
-4 xm2 =1
m2 =-1\2
from the relation.....
m=y-y1\x-x1
put the value of m1 above
-1\2=y-(-9)\x-0
cross multiply
-1(x-8)=4(y+9)
-x +8=4y+36
re-arranging we have
4y=-x-36+8
4y=-x-28//
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A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.
The answer to your question is 8.8, I worked out the math and this is what I got. I hope this helps.
Answer:
x = 9.
Step-by-step explanation:
42 - 15 = 27
27 ÷ 3 = 9
So you know all angles in a triangle add to 180 degrees and you have x + 3x + 2x which adds to 6x so you do 180/6 to get x = 30 and c = 2x so you do 30 x 2 which is 60 degrees. Hope this helps :)