<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
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Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
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Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
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The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
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Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
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Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
Answer: n=5
Step-by-step explanation: You are solving for ‘n’ so you would want to get ‘n’ by itself on one side of the equation. The easiest way to do this would be to divide both sides by 3, which would make ‘3n’ turn to ‘n’ and 15 into 5.
Dddddddddddddddddddddddddddddddddddddddddd
13s=26
s=2
I think those are variables so that would be it.
Answer:
1st option
Step-by-step explanation:
the area of the shaded portion is calculated as
area of sector - area of white Δ
area of sector = area of circle × fraction of circle
= πr² ×
( r is the radius )
= π × 8² × 
= 64π × 
= 16π in²
area of Δ =
bh ( b is the base and h the perpendicular height )
here b = h = 8
area of Δ =
× 8 × 8 =
× 64 = 32 in²
then
area of shaded portion = (16π - 32 ) in²