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.
<h2>
Answer:</h2>
Each month, 2.8% Ramon's earnings are spent on electricity.
<h2>
Step-by-step explanation:</h2>
You know, that 100 percent are his earnings - $1,880
Now, you need to find out, how much is 1%. You do that by dividing $1,880 by 100.
Now you have to divide the amount he pays on electricity - $53.3 by one percent of his earnings - $18.8
So, now you know, that he pays exactly 2.83511% of his earnings on electricity. But from assignment, you know, that it has to be rounded to the nearest tenth of a percent. The number is 2.8351. So we will round it to 2.8% ,because 3 is rounded down. (https://www.mathsisfun.com/rounding-numbers.html)
100% = $1,880
$1,880/100 = $18.8
$53.3/$18.8 = 2.83511
2.83511% ≈ 2.8%
Answer:
(u+2)(2a+9)
Step-by-step explanation:
2a(u+2)+9(u+2)
Taking (u+2) common
We get
(u+2)(2a+9)
Answer:
21:26:38
Step-by-step explanation:
Ratio in mathematics is the relationship between two or more amounts, showing how many times they can be contained in one another.
Example: 1:2 means there are two times the first amount in the second.
For the case above;
Given;
Number of each shape noah drew;
hearts = 26
Stars = 21
circles = 38
The ratio of stars to hearts to circles
N(stars) : N(hearts) : N(circles)
21:26:38
Since they are not divisible by a common factor the ratio remains;
21:26:38
Step-by-step explanation:
x²-xy-xy+y²
x²+2xy+y²
hope it helps
