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>
90 x 7 = 630 square feet total
0.5 fluid ounce per sq ft
630 x 0.5 = 315 fluid ounces are needed
Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.
<h2>
Solution to the probability.</h2>
If the bag contains 60 marbles, the number of red marbles will be:
= 1/5 × 60
= 12 marbles.
The number of white marbles will be:
= 3/10 × 60
= 18 marbles.
The number of blue marbles will be:
= 60 - (12 + 18)
= 60 - 30
= 30 marbles.
Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.
Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.
Learn more about probability on:
brainly.com/question/25870256