Answer:
Step-by-step explanation:
㏒ 3+㏒(x+2)=1
㏒3(x+2)=1
3(x+2)=10^1
3x+6=10
3x=10-6=4
x=4/3
so A
3.
![log_{2}x+log_{2}(x+2)=3\\or~log_{2}[x(x+2)]=3\\x(x+2)=2^3\\x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x+4)(x-2)=0\\x=2,-4\\x=-4 ~is~an~extraneous~solution.\\B](https://tex.z-dn.net/?f=log_%7B2%7Dx%2Blog_%7B2%7D%28x%2B2%29%3D3%5C%5Cor~log_%7B2%7D%5Bx%28x%2B2%29%5D%3D3%5C%5Cx%28x%2B2%29%3D2%5E3%5C%5Cx%5E2%2B2x-8%3D0%5C%5Cx%5E2%2B4x-2x-8%3D0%5C%5Cx%28x%2B4%29-2%28x%2B4%29%3D0%5C%5C%28x%2B4%29%28x-2%29%3D0%5C%5Cx%3D2%2C-4%5C%5Cx%3D-4%20~is~an~extraneous~solution.%5C%5CB)
Known facts
8w - 2p = 8(6) - 2(-5) = 48 + 10 = 58
Answer: 58
Hope that helps!
<h3>Answer: The lines are perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of the line through the two given points.
m = (y2 - y1)/(x2 - x1)
m = (-4 - (-5))/(6 - (-7))
m = (-4 + 5)/(6 + 7)
m = 1/13
The slope of the line through the two given points is 1/13.
This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.
However, the two lines are perpendicular because multiplying the two slope values leads to -1
(slope1)*(slope2) = (-13)*(1/13) = -1
note: It might help to think of -13 as -13/1 to help multiply the fractions.
[A+7= 28] is the correct equation I believe, though I may be wrong.