I represents
then there is the imaginary part, and the real part
the i is the imaginary
the 7 is the real part
distribute
i-(7-8i)
i-1(7-8i)
i-7+8i
-7+9i
it is normally writtnen in a+bi where a is the real part and b is the imaginary part
so the answer is -7+9i
Answer:
Step-by-step explanation:
Product refers to multiplication, hence the 4x.
Answer:
m=-7
Step-by-step explanation:
You begin with the equation:
2m-6=4m+8
The first step of this would be to subtract 2m from both sides. This is the subtraction property of equality.
-6=2m+8
The next step would be to subtract 8 from both sides. This is the subtraction property of equality.
-14=2m
Next, divide both sides by 2. This is the division property of equality.
-7=m
The final step would be the symmetric property of equality.
m=-7
Therefore your proof would have the steps:
subtraction property of equality
subtraction property of equality
division property of equality
symmetric property of equality
Considering the given equation of the circle, the true statements are given as follows:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis.
- The circle has the same radius as the circle with equation x² + y² = 9.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The equation given is:
x2 + y² - 2x - 8 = 0.
Completing the squares, the equation is given as follows:
(x - 1)² + y² = 8 + 1
(x - 1)² + y² = 9.
Researching the problem on the internet, the true statements are:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis(
).
- The circle has the same radius as the circle with equation x² + y² = 9.
More can be learned about the equation of a circle at brainly.com/question/24307696
#SPJ1
Answer: 2285
Step-by-step explanation:
Formula to find the sample size is given by :-
, where p = prior estimate of population proportion.
E= Margin of error.
= z-value for confidence interval of c.
Given : Confidence interval : 95%
From the z-value table , the z-value for 95% confidence interval = 
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.
i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61
[∵ sample proportion is the best estimate for population proportion.]
Margin of error : E= 2%=0.02
Now, the required minimum sample size would be :-
Simplify ,
Thus , we need to survey <u>2285</u> Americans .
