All categories

3 years ago

What is the value of the expression given below? (5+3i)-(5+3i)(5-5i)

Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

Step-by-step explanation:

$i=\sqrt{-1}\to i^2=-1\\\\(5+3i)-(5+3i)(5-5i)\qquad\text{distribute}\\\\=(5+3i)(1-(5-5i))=(5+3i)(1-5-(-5i))=(5+3i)(-4+5i)\\\\\text{use}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5)(-4)+(5)(5i)+(3i)(-4)+(3i)(5i)\\\\=-20+25i-12i+15i^2=-20+13i+15(-1)\\\\=-20+13i-15=-35+13i$

You might be interested in

Helpppppp mathhhhhhhhhhhhhh

labwork [276]

Answer is Yes, both congruent by SAS

8 0

2 years ago

PLEASE HELP. I WILL MARK BRAINLIEAST!!

emmainna [20.7K]

There’s technically two answers, you could put Angles 3 and 6, or Angles 7 and 2

3 0

3 years ago

Read 2 more answers

Please help me with this.

OLga [1]

Swapping rows alters the sign of the determinant:

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}$

Multiplying a single row by a scalar scales the determinant by the same amount:

$\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}$

Then

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}$

8 0

1 year ago

The distance between two points on a map varies directly with the actual

grigory [225]

Answer:

104 miles

Step-by-step explanation:

Step 1: 208/2.5

208/3.5= 59.4285714286

59.4285714286 times 1.75= 104

I Hope I am right and I hope this helps.

3 0

2 years ago

Ethan has a total of $5,800. He deposits $4,500 into a savings account which earns an

Anastaziya [24]

Answer:

4.8% of $4,500 = $216

Step-by-step explanation:

use https://www.calculator.net/percent-calculator.html?cpar1=4.8&cpar2=4500&cpar3=&ctype=1&x=112&y=12

it is a calculator for percentages i feel that this will help you out

hope this helps!

4 0

3 years ago