Answer:
C) XZ is your best answer.
Step-by-step explanation:
Note that all the other choices are not line segments:
YZ is an arc segment, and is not your answer.
WY is also an arc segment, and is not your answer.
WZ is not a straight line, which does not make it a "line segment" (a straight line that is terminated on both ends by points).
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First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Answer:
A = 39 m²
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Shorter Diagonal d2 = 3m + 3m = 6m
Longer Diagonal d1 = 9m + 4m = 13m
<u>Step 2: Find Area</u>
- Substitute into formula: A = 1/2(13m)(6m)
- Multiplication: A = 1/2(78m²)
- Multiplication: A = 39 m²
Answer:
The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle.
Answer:
120
Step-by-step explanation:
Given that ABCD is a parallelogram.
We know that in a parallelogram diagonals bisect each other.
Since AC and BD intersect at E, we get E is the mid point of both AC and BD.
Or BE = ED
Substitute the given values for BE and ED
i.e. x =10 or x =-4
But x cannot be negative . So x can take only value 10
BE = DE =6x = 6(10) = 60
Diagonal BD = BE+DE = 60+60 = 120
Answer is 120
