What is the multiplicative inverse of 6 + 2i?
Answers
x(6 + 2i) = 1
x = 1/(6 + 2i) = (6 - 2i)/(6 + 2i)(6 - 2i) = (6 - 2i)/(36 - 12i + 12i + 4) = (6 - 2i)/40
(6 + 2i) (6 - 2i) = 36-12i+12i-4i^2
As i^2= -1 . So ,
= 36+4
= 40
So 40 +is the correct answer.
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What is the factored form of n^2 – 25?
Answers
The length of the hypotenuse of given right triangle is 9.2 units.
Given that, in a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units.
What is the Pythagoras theorem?
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angledtriangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the length of the hypotenuse be x.
Now, using Pythagoras theorem, we get
x²=6²+7²
⇒x²=36+49
⇒x²=85
⇒x=√85
⇒x=9.2 units
Therefore, the length of the hypotenuse of given right triangle is 9.2 units.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
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Answers
2x=-8
x=-8/2
x=-4
4x - 2 - 2x = (2x - 10) - 2x
2x - 2 = -10
(2x - 2) + 2 = -10 + 2
2x = -8
2x / 2 = -8 / 2
x = -4
Answers
Answer:
largest angle = 92°
Step-by-step explanation:
Since the measurement of the angles are;
x°, ( x + 6)°, (2x + 10)°
And we know that sum of angles in a triangle is 180. Thus;
x + (x + 6) + (2x + 10) = 180
x + x + 6 + 2x + 10 = 180
4x + 16 = 180
4x = 180 - 16
4x = 164
x = 164/4
x = 41°
The other two angles will be;
(41 + 6)° and (2(41) + 10)°
Which gives;
47° and 92°
So,largest angle = 92°
Answers
Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
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0.9% of 54 is 0.486
Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
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15% of 376 is 56.4
Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.
Answers
he spent $825 at the store
Answer:
825$
Step-by-step explanation:
you divide 44 by 4 that gets you 11 then multiply 11 times 75