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BigorU [14]
3 years ago
9

Simplify the expression to a + bi form: (9+7i)(6 + i)

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

47+51i

Step-by-step explanation:

(9+7i)(6+i)

54+42i+9i+7i^2 where i^2=-1

54+42i+9i+7(-1)

54+51i-7

54-7+51i

47+51i

Please mark me as Brainliest if you are satisfied with the answer.

Scorpion4ik [409]3 years ago
6 0

(9 + 7i)(6 + i) \\  = 54 + 9i + 42i + 7 {i}^{2}  \\  = 54 + 51i  - 7 \\  = 47 + 51i

I hope I helped you^_^

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What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?
ololo11 [35]
X2 + y2 - 14x + 10y = 250
x2 -14x + 49 - 49 + y2 + 10x + 25 - 25 = 250
(x - 7)^2 - 49 + (y+5)^2 - 25 = 250
(x-7)^2 + (y+5)^2 = 250 + 49 + 25
(x-7)^2 + (y+5)^2 = 324

Therefore the radius, r
r = 324^0.5
r = 18
4 0
3 years ago
Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

hello :

a(x) = 3x - 12 and b(x) = x-9, so

a[b(x)]=a(x-9) =3(x-9)-12

a[b(x)]=3x-9-12

a[b(x)]=3x+21

5 0
2 years ago
Homework: 7.1 hw
Scrat [10]

Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04  = 17 years

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d. 8.3 year = $ 2,998.48

e.  $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

5 0
3 years ago
If the points (2,3) and (5,y) lie on a line whose slope is -7/6, what does y equal
nlexa [21]

Answer:

Step-by-step explanation:

\\frac{y-3}{5-2}=\frac{-7}{6}  \\y-3=\frac{-7}{6} *3\\y=-\frac{7}{2}+3=-\frac{1}{2}

4 0
2 years ago
3 2/3+ 8 7/12<br><br> I need the work
castortr0y [4]

Answer:

\frac{49}{4}

Step-by-step explanation:

Convert each to a improper fraction

3 \frac{2}{3} = \frac{11}{3}

8\frac{7}{12} = \frac{103}{12}

\frac{11}{3} +\frac{103}{12} = \frac{49}{4}

4 0
2 years ago
Read 2 more answers
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