;)
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⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle (
) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
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In the above cases ,
is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ 
- Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16
✧ 
- Value of tan

✎ 
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃
[ Pythagoras theorem ]







Okey, We found out the perpendicular i.e
. Now , We know :
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۵ Yay! We're done!
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- Never lose hope & keep on working ! ✔
ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
# StayInAndExplore ☂
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The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1
If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1
If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)
If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)
however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1
If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1
and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)
Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.
Answer:
5x^2 + xy + 20
Step-by-step explanation:
Begin with 5x^2+3xy+12, Subtracting 2xy yields 5x^2 + xy + 12. Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or 5x^2 + xy + 20