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:
Graph the line using the slop and y-intercept, or two points.
Slope: 1
y-intercept: -2
x: 0, 0
y: -2, -2
(Sorry is this isn't the answer you are looking for)
Answer:
22
Step-by-step explanation:
The preimeter is adding all sides together. I took 154-55 twice sense we have four sides of a rectangle and two are lengths. after that i got 44. I then just remembered we had two sides left so divided that by 2 and got 22
Answer: 9 kilos total thats it
Step-by-step explanation: Leaving the store Fatima thinks,“Each bag of groceries seems asheavy as a watermelon!”UseFatima’s idea about theweight of thewatermelon to estimate the total weight of 7 bags.c.The grocer helps carry about 9 kilograms. Fatima carries the rest.Estimate how many kilograms ofgroceries Fatima carries.d.It takes Fatima 12 minutes to drive to the bank after she leaves the store and then 34 more minutesto drive home.How many minutes does Fatima drive after she leaves the store?
The inequality that represents the graph in the box is
Given :
The graph of the linear inequality
Lets pick two points from the graph to frame the linear equation
Slope intercept form of the equation is
Where m is the slope and b is the y intercept
y intercept is (0,6) from the graph
so b=6
Now we find out slope m using formula
Pick two points (0,6) and (2,0)
m=-3
So the equation is 
Now we check the inequality sign by testing any point on shaded area
lets pick (4,0)
lets plug in 4 for x and 0 for y
The inequality for the given graph is
we cannot use >= sign because we have dotted lines
Learn more : brainly.com/question/17203372
