Answer:
a+ib=2sqrt2(cos7pi/4+isin7pi/4)
Step-by-step explanation:
a+ib=r (cos theta+isin theta)
r=sqrt a^2+b^2
r=sqrt (2)^2 +(-2)^2
r=2sqrt 2
theta=tan^-1(y/x) or (a/b)
theta= tan^-1(-2/2)
theta=-45 degrees
Now, I know that theta is in the fourth quadrant because cos (x-value) is positive. So, I am going to subtract my value from 360 degrees.
360-45= 315
theta=315
I can convert degrees to radians (if need be): 315 times pi/180= 7pi/4
Theta=7pi/4 r=2sqrt2
Substitute: a+ib=2sqrt2(cos7pi/4+isin7pi/4) this is radian format
or... a+ib=2sqrt2(cos 315+isin315) this is degree format
[ 6 0 2 -8
[7 -1 -11 4
[-9 -5 5 -10
b24 means the element of set B in the second row and 4th column.
(-8) is at that position.
The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.
Given that the set is,
B=[-4 10 -3 9
[ 6 0 2 -8
[7 -1 -11 4
[-9 -5 5 -10
B24 stands for the B element in the second row and fourth column.
There is a (-8) there.
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2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
The equation can be used to determine if the triangle is a righttriangle is c² = 2a².
The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
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Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².