Step-by-step explanation:
∆PQR similar to ∆ JKL
JK/KL= PQ/QR
6/12=3/QR
QR=3×2= 6
therefore, tan(R) = PQ/QR = 3/6=1/2
and, tan(J) = KL/JK =12/6=2


tan(J)=4.tan(R)
option D
H(x) = 125^x
Domain: all the real numbers (from negative infinity to infinity)
Range: all the positive real numbers.
As x decreases 125^x decreases approaching to 0. The function will never reach the value 0 but will approximate to it as x goes to negative infinity. The rate of decreasing gets lower and lower, with a limit of zero, when x becomes more and more negative.
As x increases 125^x increases indefinetely and at an increasing rate. That means that the increase is accelerated (the bigger the value of x the bigger the rate of increasing).
The answer for this is 35 you have to multiply 5 by 7 and you will get your answer
V=<12,5>
Magnitude
|v| = sqrt(12^2+5^2) = 13
Direction
theta
= atan2(5,12)
= atan(5/12)
= 22.62 degrees
Step-by-step explanation:
2^3 X 3^-4 X 5^2 / (2x5)^2 X 2 X 3^2 X 3^-6
I will simply the expression on the RHS if the bracket first
2^2 X 5^2 X 2 X 3^2 X 3^-6
= 2^3 X 3^-4 X 5^2
So, putting them together
Both sides have th same expression
They cancel out each other
Answer : 1