Answer:
30.2
Step-by-step explanation:
cos(58) = 16/BC
BC = 16/cos(58) = 30.2
X^2 + 3x = 24
completing the square
(x + 1.5)^2 - 2.25 = 24
(x + 1.5)^2 = 26.25
x + 1.5 = +/- sqrt26.25 = +- 5.123
x = -1.5 + 5.123 = 3.62 to nearest hundredth and
x = -1.5 - 5.123 = -6.62 to nearest hundredth
solution set is {-6.62, 3.62}
Answer:
lnx/ln4
Step-by-step explanation:
Given
y=4^x
In order to find the inverse of the function the first step is to replace the y with x and x with y
So,
Replacing x with y and y with x
x= 4^y
We have to find the value of y explicitly to find the invers.
The above equation can also be written as:
4^y=x
As the variable is in exponent, to bring it down, ln has to be taken on both sides.
ln 4^y =ln x
The power of will be multiplied with the ln.
y ln4=lnx
y=lnx/ln4
So,
The inverse is lnx/ln4 ..
It is -18 because -18 divided by 6 is -3. then -5+-3 is -8
