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alina1380 [7]
3 years ago
9

Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i
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79,81,84,88,100,88,82 what is the median of these numbets
pshichka [43]

84 is the median of the numbers



4 0
3 years ago
Read 2 more answers
Can you help me with numbers 20-22 please a lot of points
arsen [322]
We could find the slope with this formula
m = (y₂ - y₁)/(x₂ - x₁)
with (x₁,y₁) and (x₂,y₂) are the points that is located on the line.


NUMBER 20
Given:
(x₁,y₁) = (-2,3)
(x₂,y₂) = (7,-4)

Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (-4 - 3) / (7 - (-2))
m = -7 / (7+2)
m = -7/9

The slope of the line is -7/9


NUMBER 21
Given:
(x₁,y₁) = (-6,-1)
(x₂,y₂) = (4,1)

Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (1-(-1)) / (4 -(-6))
m = (1+1) / (4+6)
m = 2/10
m = 1/5

The slope of the line is 1/5


NUMBER 22
Given:
(x₁,y₁) = (-9,3)
(x₂,y₂) = (2,1)

Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 3) / (2 - (-9))
m = -2 / (2 + 9)
m = -2/11

The slope of the line is -2/11
6 0
3 years ago
Can u plz help me thank u
rusak2 [61]

Answer:

the answer to the problem is -18

8 0
3 years ago
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (G ▪ H) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Eddi Din [679]

Answer:

The correct answer is (5 - 7)^2

Step-by-step explanation:

To find this, start with the outermost equation g(x).

g(x) = x^2

Now put the next equation (h(x)) in for x in this equation.

(G ▪ H)(x) = (x - 7)^2

Now, put the number in for x in the equation given.

(G ▪ H)(x) = (5 - 7)^2

4 0
3 years ago
Read 2 more answers
A rectangle has an area of 99 square in. What is the length of the long side?
OLga [1]

Answer:

The longer length is either 99, 33 or 11 inches

Step-by-step explanation:

Given

Area = 99

Required

The length of the longer side

Area of a rectangle is:

Area = Length * Width

List out all possible products that give 99 [Assume the dimension are whole numbers]

Length * Width = 99 * 1 = 99

Length * Width = 33 * 3 = 99

Length * Width = 11 * 9 = 99

List out the longer factors

L = \{99, 33, 11\}

<em>Hence, the longer length is either 99, 33 or 11 inches</em>

8 0
3 years ago
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