Convert into like fractions -->
1/3 = 7/21 4/7 = 12/21
7+12 = 19
19/21 is spent therefore he has 2/21 left
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
You have to divide both the numerator and the denominator and you get 1/3 and thats the simplest form
Answer:
its c edg 2020
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
The equation comes out to be:
3x + 11 = 5x + 3
Move the <u>variables</u> to the left-hand side and change its sign
And move the <u>constant</u> to the right-hand side and change its sign:
3x - 5x = 3 - 11
Combine like terms to get:
-2x = -8
Isolate x by dividing -2 on both sides:
-2x/-2 = -8/-2
x = 4