This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
Answer:
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.
I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree
Step-by-step explanation:
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Well, if earth's climate is getting warmer then the glaciers would probably start to melt. I'm not sure how to answer the second one either, maybe since glaciers are so big, they would be a lot of animals living on them and they would loose their habitat maybe causing them to have to move somewhere else?
By straight line angles property,
▶60 + 4x +20 =180
▶80 +4x =180
▶4x = 180 -80
▶4x = 100
x = 25
So, Second angle
▶4 ×25 +20
▶100 + 20
▶120
3x + x =116
4x=116
x = 29
other angle = 3 ×29
=87
ANGLE CAB + ANGLE ACB = 90
2x + x + 30 =90
3x + 30 =90
3x = 90 - 30
3x= 60
x=20
So, angle CAB = 2 ×20 = 40
Answer:
The parallel line would be y = 1 and the perpendicular line would be x = 3.
Step-by-step explanation:
In order to find a line parallel to y = 5, we must first note that y = 5 is a horizontal line. This means to be parallel, the line must also be horizontal. All horizontal lines are written in the form of y = (just a number). Since we can see the value of y in the ordered pair as 1, we know the equation is y = 1.
The exact opposite logic can be used to find the perpendicular line. Since the first line is horizontal, the next one will be vertical, which are written as x = (a number). We again look to the ordered pair to determine the number and write the equation as x = 3
