1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erica [24]
3 years ago
15

What is equivalent to -2i(6-7i)

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

-14 - 12i

Step-by-step explanation:

Apply complex arithmetic rule: (ai)(b + ci) = -ac + abi

a = 2, b = 6, c = -7

-( -2(-7) + 2*6i )

-( 14 + 12i)

-14 - 12i

You might be interested in
The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
I need help with this ​
yawa3891 [41]

Answer:

C

Step-by-step explanation:

In the graph given, we can expect the x axis to be horizontal and the y axis to be vertical. This means that the arm span represents y and the height represents x.

Therefore, if a girl on her team is 63 inches tall, we can say that y=x+2, and since height is x, y = 63 + 2 = 65

6 0
3 years ago
Can anyone Help me pleasee ?
3241004551 [841]

Answer:

First one

Step-by-step explanation:

.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100

6 0
2 years ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
joann is having a party. she wants to make punch. the recipe for punch uses 4 pints of orange juice, 5 cups of apple juice, 1/2
Aleks [24]
4 pints= 8 cups
+
1/2 gallon= 8 cups
+
2 quarts= 8 cups
+
5 cups
=29
no, she is off by a cup
7 0
3 years ago
Other questions:
  • Arnold needs to simplify the expression below.
    10·1 answer
  • What is seven divide by ÷847
    9·2 answers
  • Simplify and combine terms 9x+6-4x-2x+1-15
    6·2 answers
  • Create a linear equation and a linear table of values. Show In you table the linear pattern of adding a constant value repeatedl
    10·1 answer
  • 2593 ÷6 use compatible numbers to do estimate
    14·2 answers
  • PLEASE HELP URGENT DO NOT WASTE ANSWERS
    9·1 answer
  • Q-2p=p+4 make p the subject
    8·1 answer
  • <1 and <2 are supplementary angles. The measure of <1 is 87º. The measure of <2 is 15x + 18º.
    9·1 answer
  • What is the y-intercept of y = 5?
    7·1 answer
  • Help me please need help​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!