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ValentinkaMS [17]
4 years ago
11

(5+2yi)(4-3i)-4(5+2yi) leave your answer in a+bi form

Mathematics
1 answer:
Anastasy [175]4 years ago
7 0
(5+2yi)(4-3i-4)
=(5+2yi) × -3i
= -15i -6yi2
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3/5 is 30% of what number?
Daniel [21]
3/5 of what number =15
5 0
3 years ago
What is the area of a triangle with a base of 50 feet and a height of 75 feet’
inysia [295]

Answer:

The correct answer is,

the area of given triangle = 1875 square feet

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - Base and h - height

It is given that,a triangle with a base of 50 feet and a height of 75 feet’

<u>To find the area of triangle</u>

base b = 50 feet and height h = 75 feet

Area = bh/2 = (50 x 75 )/2

Area = 3750/2 = 1875 square feet

Therefore the area of given triangle = 1875 square feet

8 0
4 years ago
Read 2 more answers
every evening jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
Darya [45]
Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>
8 0
4 years ago
If an=24, which recursive formula could represent the sequence below? ...,24,88, 664, 8408A) An=(An-2)^2 + An-1 ; A1=2B) An= 3An
Rudik [331]

When we substitute n = 4, we get...

a_{n-3}=a_1\\ \\ a_{n-2}=a_2\\ \\ a_{n-1}=a_3\\ \\ a_n=a_4

Comparing the given sequence: 24, 88, 664, 8408, we get

a_{n-3}=a_1=24\\ \\ a_{n-2}=a_2=88\\ \\ a_{n-1}=a_3=664\\ \\ a_n=a_4=8408

We need to substitute the above values in each option and check which is TRUE.

----

<u>Option A</u>

a_n=(a_{n-2})^2+a_{n-1}, a_1=2\\ \\ a_n=(88)^2+664=7744+664\\\\a_n=8408 (TRUE)

<u>Option B</u>

a_n=3a_{n-1}+16\\ \\ a_n=3(664)+16\\\\a_n=2008 (FALSE)

<u>Option C</u>

a_n=(n)a_{n-1}-8\\ \\  a_4=(4)a_3-8=4(664)-8\\\\a_4=2648 (FALSE)

<u>Option D</u>

a_n=2a_{n-2}+7a_{n-1}\\ \\ a_n=2(88)+7(664)\\ \\ a_n=4824(FALSE)

Conclusion:

Option A is the correct answer.

6 0
4 years ago
Read 2 more answers
What is the answer to 2x + 3y ≥ -1 ?
VladimirAG [237]

2x + 3y ≥ -1


2(0)+3y>= -1


3y>= -1


Y >= -1/3



2x+3(0) >= -1


2x >= -1


X >= -1/2


Answer (-1/2 ,-1/3)

7 0
3 years ago
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