Answer:
24.23
Step-by-step explanation:
The tan(x) would equal to the opposite side over the adjacent one
So 9/20. To get the degree we need to get the arctan of it, so arctan(9/20) = 24.23
Answer:
The solution set represented by the following graph is:
{x | x∈ R, x < -2}
Step-by-step explanation:
Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.
This means that -2 is not included in the set.
Also in interval; form the set of points that belong to the solution set are:
(-∞,-2)
in set-builder form it is written as:
{x | x∈ R, x < -2}
Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
Answer:
g(0) > f(0)
Step-by-step explanation:
Evaluate the functions at the point of interest: x=0.
g(0) = 20·1.5^0 = 20·1 = 20
f(0) = -40 . . . . from the table
Since 20 > -40, we conclude ...
g(0) > f(0)
