Answer:
Slope is 2; y-intercept is (0,-6)
Step-by-step explanation:
Slope intercept form looks like 3y = 2x - 6
In the equation y=mx+b, M is always the slope, and B is always the y-intercept. Therefore if you look back at the problem the slope number should be in front of the x which makes it 2. Since the y-intercept is always b, y = -6.
Slope or m = 2; y-intercept is (0,-6)
Let the first brother = x
second brother = x + 2
third brother = x + 4
<span>The product of the first and third boys' ages is 20 more than twice the second boy's age:
x(x+4) = 2(x+2) + 20
x</span>² + 4x = 2x + 4 + 20
x² + 4x - 2x - 24 = 0
x² + 2x - 24 = 0
(x - 4)(x + 6) = 0
x = 4 or -6 (rejected, age cannot be negative)
First brother = 4
Second brother = 4 + 2 = 6
Third brother = 4 + 4 = 8
The three boys are 4, 6, and 8 years old.
This is an Arithmetic Progression with 1st term 11 and common difference d=6
Number of Rows Number of seats Common difference " d"
----------------------- ----------------------- -------------------------------------
1st a₁ = 11
2nd a₁+d =17 d =2nd - 1st = 6
3rd a₁ +2d = 23 d =3rd - 2nd = 6
4th a₁ +3d = 29 d= 4th - 3rd = 6
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nth ROW a(n) = a₁ + (n-1)d
18th ROW a₁₈ = 11 + (18-1).6 = 11+(17)(6) = 113
General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
Answer:
D. y=-2x-2
Step-by-step explanation:
To find a line perpendicular to another line take the negitive inverse which is fliping the fraction and multiplying it by -1. To see if it crosses a point just plug in for that point.
