Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
The answer should be
12ft^3
12cm^3
12yd^3
12in^3
Complementary equal 90 degrees.
90-47=43 degrees
Supplementary equal 180 degrees.
180-47=133 degrees
A
Answer:

Step-by-step explanation:
So we have the equation:

And we want to solve for g.
First, isolate g. To do so, subtract vt from both sides:

Multiply both sides by 2:

Now, divide both sides by t^2:

Expand:

Simplify the second term:

And we're done!
Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?
A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
☆☆☆D) construct an arc with center P that intersects segment AB in two points