We have the following expressions:
x = 3 + 8i
y = 7 - i
-x * y = (- 3 - 8i) * (7 - i) = -21 + 3i - 56i - 8 = -29 -53i
2x-3y = 2 (3 + 8i) - 3 (7 - i) = 6 + 16i - 21 + 3i = -15 + 19i
-5x + y = -5 (3 + 8i) + (7 - i) = -15 - 40i + 7 - i = -8 -41i
x * 2y = (3 + 8i) * (14 - 2i) = 42 - 6i + 112i + 16 = 58 + 106i
Answer:
-x * y = -29 -53i
2x-3y = -15 + 19i
-5x + y = -8 -41i
x * 2y = 58 + 106i
See the equation they want you to use. factor to make it like that.
9 is 3^2 and 16 is 4^2
x^6 is (x^3)^2
so for the answer. factor each term
9x^6 = (3x^3)^2
16y^6 = (4y^3)^2
see that "a" is 3x^3 and "b" is 4y^3 ? put it all together
= (3x^3 - 4y^3)(3x^3 + 4y^3)
Good morning
x-3y=-3
x+3y=9
Solve x-3y=-3 for x
Add 3y to both sides
x-3y+3y=-3+3y
x= 3y-3
Substitute 3y-3 for x in x+3y=9
x+3y=9
3y-3+3y=9
Simplify both sides of the equation
6y-3=9
Add 3 to both sides
6y-3+3=9+3
6y=12
Divide both sides by 6
6y/6=12/6
y=2
Substitute 2 for y in x=3y-3
x=3y-3
x= (3)(2)-3
x= 6-3
x= 3
Final answer : X=3, Y=2
I hope that's help !
Have a great Sunday :)
Answer:
1.962×10^8 cm
Step-by-step explanation:
The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.
A = LW
P = 2(L +W)
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Solving the area formula for width, we have ...
W = A/L
Using that in the perimeter formula, we find the perimeter to be ...
P = 2(L +W) = 2(L +A/L)
Using the given values for area and length, we find the perimeter is ...
P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm
The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.
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<em>Additional comment</em>
The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.
Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)
Answer:
22 degree ............,........