<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle
in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)
-> your x coordinate is the adjacent side, and y the opposite
</span>
<span>tan θ=opposite/adjacent=y/x=15/5=3</span>
The domain is all real numbers. (-infinity, infinity)
You can put any real number x value into the function.
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
Step-by-step explanation:
From the law of variation,
y <> 1/x, where <> is the constant of proportionality. Therefore
y = k/x where k is a constant
3 = k/5 and k = 15
To find x when y = 2.5(5/2)
Go back to the second equation
y = k/x
5/2 = 15/x
When you cross multiply
5x = 30.
Divide through by 5,
x = 6.
