The answer is hollow sphere
Answer:
![a^{10}](https://tex.z-dn.net/?f=a%5E%7B10%7D)
Step-by-step explanation:
![a^{2*5}](https://tex.z-dn.net/?f=a%5E%7B2%2A5%7D)
Answer:
30 degrees
Step-by-step explanation:
The triangle within the circle with 3 equal sides is equilateral triangle. Therefore the angle is 60 degrees
so x + (180 - 60) + (90 - 60) = 180
x + 120 + 30 = 180
x + 150 = 180
x = 30
Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^-1(x)= ln(x+4)/2
Step-by-step explanation:
f(x) = e^2x - 4
to find the inverse let
y = e^2x - 4
Replace x and y
x = e^2y - 4
and now, solve to find value of y
x + 4 = e^2y
taking ln on both sides:
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
=> y = ln(x+4)/2
=> f^-1(x)= ln(x+4)/2
So, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^-1(x)= ln(x+4)/2
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)