Answer:
A= 254.34 m²
Step-by-step explanation:
to find area of a circle use this formula, A=
r²
now just plug it in
A= 9²
A=81
A= 254.34 m²
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Answer:
8.333333
Step-by-step explanation:
3x+2(4+6x)=133
3x+8+12x=133 First I distibuted the 2 too the 4 and 6x
15x+8=133 Then I added the x es 3x and 12x
15x+8-8=133-8 Then I subracted 8 from both sides
15x=125 That leaves with this
15x/15=125/15 Now I divide 15 from both sides to isolate x
x= 8.33333 that is the answer
check
3x+2(4+6x)=133
3*8.333333+2(4+6*8.333333)=133
24.999999 +2(4+ 49.999998)=133
24.999999+2( 53.999998)=133
24.999999+107.999996=133
132.999995=133
You can not get an exact answer for this problem
