Answer:
For complex numbers,
a + bi and a - bi
they have the interesting property that if you add them you get the real number 2a
and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2
But since i^2 = -1, we end up with a real number as a product.
e.g. 6 - 5i and 6 + 5i are conjugates of each other
sum = 6-5i + 6+5i = 12
product = 36 - 25i^2
= 36 -(-25) = 61
Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i
Also I believe, according to the answer, that you have a typo, and you meant
(-5+i)/(2i)
= (-5+i)/(2i) *i/i
= (-5i + i^2)/2i^2)
= (-5i +i^2)/-2
= (-5i - 1)/-2
= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2
Answer:
90
Step-by-step explanation:
<em>Hey there!</em>
Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.
<em>Hope this helps :)</em>
Answer:
Option C) The symbol y represents the predicted value of price.
Step-by-step explanation:
We are given the following in the question:
We find a regression equation with x representing the ratings and y representing price.
The equation has a slope of 130 and a y-intercept of 350.
Comparing with the slope intercept form:

Thus, we can write the equation as:

Here, y is the predicted variable that is the price, c is the price of hotel when a rating of 0 is given.
Thus, symbol y represents:
C) The symbol y represents the predicted value of price.
Answer:
<h2>The radius is 4 units long.</h2>
Step-by-step explanation:
The given equation is

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.
You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

Therefore, the radius is 4 units long.
Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)