First: Slope of -x+2y=42y=x+4y=x/2+2So, m=1/2.
Second: Slope of the perpendicular line: mp=-2.
Third: Find the line with slope -2 and passes through the point (−2, 1)y-y1=m(x-x1)y-1=-2(x+2)y=-2x-4+1y=-2x-3
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X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
Remember these two combinations: logab=loga+logb, log(a/b)=loga-logb
3logx=logx^3
(1/2)log(x+2)=log(x+2)^(1/2)
2log(z-4)=log(z-4)^2
so the given expression can be combined into log{[(x^3)(z-4)^2]/(x+2)^(1/2)}
1/2 x 2= 1
1/8 x 2= 1/4
3/8 x 2= 3/4
3/4 x 1/4 = 3/16
3/16 x 1 = 3/16
YOUR ANSWER IS 3/16 dry ingredients
<span>|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides
</span>
<span>∴ |7x-7| = 4x - 2
</span>
According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11
∴ x = 5/3 and 9/11
So, the correct answer is option <span>B. 5/3 and 9/11</span>
