Step 1: 3x + 4y = 15
Step 2: Get in Slope intercept form = y=mx+b
Step 3: Subtract 3x from both sides since your trying to get Y alone
Step 4: 4y = -3x + 15
Step 5: Divide 4 from both sides since 4 cannot go into -3 or 15 leave it as is
Step 6: Y =

+

Step 7: Point slope form= y-y=m(x-x)
Step 8: (8, -2) are your points 8x and -2y
Step 9: Substitute
Step 10: y - 2 =

(x - 8)
Step 11: Distribute
Step 12: y - 2 =

+ -6
Step 13: Add 2 to both sides
Answer : y =

+ 4
SinC=(8/17)
solve for C = arcsin(8/17)
Direct variation has the form y=kx. Given a point we can solve for the constant k.
y=kx, when y=9 and x=-3 becomes:
9=-3k
k=-3 so the constant of variation is negative 3
The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
<h3>Quadratic equations</h3>
These are equations that has a leading degree of 2. Given the expression
6(x+5)^2 + 5(x+5) - 4 = 0
In order to simplify this equation, we will replace the reoccuring term by a variable.
From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:
6u^2 - 5u - 4 = 0
Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
Learn more on quadratic equation here: brainly.com/question/1214333
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When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125
<h3>Addition of Numbers</h3>
Given Data
Number one = 82.545
Number two = 128.580
Total Number = 82.545 + 128.580
Total Number = 211.125
Learn more about rounding of numbers here:
brainly.com/question/10679598