Answer: (4-4i)+(3-2i) = 7-6i
Step-by-step explanation:
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.
Answer:
D
Step-by-step explanation:
The formula we need to solve this is:
Where
is the distance from one focus to the vertex
is the second distance from another focus to same vertex
<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci
is half the length of the major axis (which is 9 here since total major axis is given as 18)
<em>Now we can plug into the equation and solve:</em>
<em></em>
<em />
<em>D is the correct answer.</em>
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic
pishuonlain [190]
The five-number summary and the interquartile range for the data set are given as follows:
- Interquartile range: 50 - 29 = 21.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference between the third quartile and the first quartile.
In this problem, we have that:
- The minimum value is the smallest value, of 24.
- The maximum value is the smallest value, of 56.
- Since the data-set has odd cardinality, the median is the middle element, that is, the 7th element, as (13 + 1)/2 = 7, hence the median is of 43.
- The first quartile is the median of the six elements of the first half, that is, the mean of the third and fourth elements, mean of 29 and 29, hence 29.
- The third quartile is the median of the six elements of the second half, that is, the mean of the third and fourth elements of the second half, mean of 49 and 51, hence 50.
- The interquartile range is of 50 - 29 = 21.
More can be learned about five number summaries at brainly.com/question/17110151
#SPJ1
Step-by-step explanation:
The first 9 (leftmost) has a value 100 times the value of the second 9 (rightmost).
The first 9 is in the 10,000s place and represents 90,000.
The second 9 is in the hundreds place and represents 900.
90,000 is one hundred times 900.
Answer: D
<u>Step-by-step explanation:</u>
Vertex form is: f(x) = a(x - h)² + k where (h, k) is the vertex.
f(x) = (x - 3)² - 5
- the vertex is (3, 5).
- "a" is positive (+1), so it points upward.
The only graph that matches is the last one, <em>which I called graph D.</em>