9514 1404 393
Answer:
Step-by-step explanation:
1. The slope of the given line is the x-coefficient, 7. The slope of the perpendicular line is the negative reciprocal of this: -1/7. Since the line goes through the origin, the y-intercept is zero.
y = -1/7x
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2. The first part of this problem is to find the solution to the given system of equations. We can substitute for x to do that:
3(5 -y)-2y = 10
15 -5y = 10 . . . simplify
-3 +y = -2 . . . . divide by -2
y = 1, x = 4 . . . add 3 to find y; subtract y from 5 to find x
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The second part of this problem requires we note the slope of the parallel line. It is the x-coefficient, 2. The y-intercept can be found from ...
b = y -mx = 1 -2(4) = -7
So, the desired line in y=mx+b form is ...
y = 2x -7
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The first attachment shows the perpendicular lines of problem 1.
The second attachment shows the parallel lines of problem 2.
Answer:
.00059 or .0006
Step-by-step explanation:
You are trying to find what won't be in the water because there are many combinations so you use a complement formula.
1-0.79=0.29
Use the left over percentage in an equation to determine the probability.
The exponent 6 comes from the number of locations.
For compound interest, the formula is given below:
Amount =
Here, P = 18,800
n = 2
r = 13/100
So, Amount =
= 18,800 × 1.2769
= 24005.72
Compound Interest = Amount - Principal
Compound Interest = 24005.72 - 18800
= 5205.72
Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.