Answer:
a-bi
Step-by-step explanation:
If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi
Because we have l, m and n are real numbers and they are the coefficients.
Sum of roots = a+bi + second root = -m/l
When -m/l is real because the ratio of two real numbers, left side also has to be real.
Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.
i.e. other root will be of the form c-bi for some real c.
Now product of roots = (a+bi)(c-bi) = n/l
Since right side is real, left side also must be real.
i.e.imaginary part =0
bi(a-c) =0
Or a =c
i.e. other root c-bi = a-bi
Hence proved.
Answer:
x
21
Step-by-step explanation:
(-2/3)x+13≥ -1
(-2/3)x≥ -14 (I subtracted by 13 on both sides)
x-14*(-3/2) (I divided by -2/3 on both sides)
x21
Answer:
48°
Step-by-step explanation:
We can use the explanations from my previous answers to solve this. Lines are 180 degree angles. Use the equation: x + 132 = 180
Solve that:
180 - 132 = 48
Answer:
65 would be C
Step-by-step explanation:
it wants you to find out how much was spent after 11 visits. 10 dollars is used each time so 11 times 10 is 110. 306 minus 110 equals 196. you would choose C instead of B because the 10 is the one being multiplied, not 306.
306-10x; $196
For this case we have a function of the form 
, where 
We must find the value of the function when 
, that is, we must find f (3). So:
So
Answer:
