All categories

2 years ago

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work

Mathematics

1 answer:

jek_recluse [69]2 years ago

3 0

Answer: 12i + 21

Step-by-step explanation:

You want to apply foil to the first two terms.

3 x 1 = 3
5i x 3 = 15i
-4i x 1 = -4i
-4i x 5i = -20i^2

You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20

So far you have (11i + 23) - (-i + 2).

11i + i = 12i
23 - 2 = 21

Im 99% sure the answer is 12i + 21

You might be interested in

Mr. Malone made a graph to represent the time his students spent studying for their tests throughout the unit and their actual t

denis-greek [22]

Answer:

a. 4/3

b. Test scores in percentage

c. y=4/3x +50

d. 78

8 0

2 years ago

a painter bought 8 gallons of paint,just enough to cover two rooms.one room is twice the size of the other and requires 3 coats

bija089 [108]

Let x be the size of the small room and 2x, the big room

The larger room requires 3 coats and the smaller, 2 coats

All requires exactly 8 gal.

2.x + (2x).3 = 8 Gal, 8x = 8 and x = 1 (size of te smallest)

if it's the small room, then it will need 2 coats or 2x1 = 2 Gal, and the paint left is 8-2 = 6 Gal.

if it's the large one, 6x or 6 Gal, and remaining 2 Gal

6 0

2 years ago

their was only 1/2 pizza 3 needed 2 share it ... how much of the original pizza woud each person get please help right away!!!!!

denpristay [2]

We are going to have to divide...
We have to put 1 as a denominator for 3 because it's a whole.
$\frac{1}{2} / \frac{3}{1}$
Cross multiply.
$1*1=1$
$3*2=6$
$= \frac{1}{6}$
Each person would get $\frac{1}{6}$ of the original pizza.

Have a nice day! :)

8 0

2 years ago

I need help with this problem

emmasim [6.3K]

We have that

26*[(82³)^(1/2)]*[(62³)<span>^(1/2)]

we know that
</span>(82³)^(1/2)-----> 82√82
(62³)^(1/2)-----> 62√62
substitute
26*[82√82]*[62√62]------> (26*82*62)*(√82)*(√62)
(26*82*62)*(√82)*(√62)------> 132184*(√82)*(√62)
132184*(√82)*(√62)------> 132184*(√5084)

5084------> 1271*2²
√5084-----> √(1271*2²)-----> 2√1271
substitute
132184*(√5084)------> 132184*(2√1271)-----> 264368√1271

the answer is
264368√1271

4 0

3 years ago

Find the value of the variables in the parallelogram

zavuch27 [327]

Answer:

Step-by-step explanation:

y = 180 - 100 - 38 (angle sum of triangle is 180 degrees)

= 42 degrees

x = 38 degrees (alternate angles on || lines)

z = 100 degrees (opposite angles on parallelogram are equal)

7 0

3 years ago