Answer:
Transitive property of equality
Step-by-step explanation:
Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.
The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.
It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.
This shows the transitive property of equality.
Answer:
Step-by-step explanation:
The equation of the function in exponential form is
The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:
![1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20b%5E0%5CRightarrow%20a%3D1%5C%20%5C%20%5Bb%5E0%3D1%5D%5C%5C%20%5C%5C3%3Da%5Ccdot%20b%5E1%5CRightarrow%201%5Ccdot%20b%3D3%2C%5C%20b%3D3)
Thus, the equation of the function is
Answer: 560 tickets
Step-by-step explanation:
3/4 = 420/x; now cross multiply:
3x = 4(420)
3x = 1,680; now divide both sides by 3, and you get x = 560
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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4% is not equivalent to 40%
0.4 is equivalent to 40%. Just move the decimal two places to the right.
2/5 is equivalent to 0.4, which in turn is equivalent to 40%. 2 divided by 5=0.4
The answers are all but 4%
