Find slope of line A:
Move into slope-intercept form y = mx+b
<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6
So line B has equation </span>
<span>y = (8/5)x - 6
m = 8/5 and b = -6
so
m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5
So m+b = -22/5 or -4.4 in decimal form
</span>
The monthly payment would be 125. 2,970-720=2,250 2,250/18=125 a month
Using proportions, it is found that the number of islands that each member will have to visit is given by:
c. 19 islands.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:
n = 684/36 = 19.
Which means that option c is correct.
More can be learned about proportions at brainly.com/question/24372153
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The total distance that was covered by the sprinter in Kilometers is:
<h3>How much is the total distance covered?</h3>
To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.
Thus we will have:
2400 Meters * 1 km / 1000 meters
= 2.4 km
So, the total distance covered by the sprinter in kilometers is 2.4
Learn more about meter conversions here:
brainly.com/question/26259781
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Answer:
y=-3/2x+4
Step-by-step explanation:
The slope or m is -3/2 and the y-intercept or b is 4.
Hope this helped :)
