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
Lady bird [3.3K]
3 years ago
10

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

6 plus 3 i.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0
4i/(1+i) + (6+3i)

multiply the first fraction by the conjugate

2i + 6+3i  = 6+5i


6+5i

You might be interested in
If it is 9:26, what time will it be in 54 minutes?
Nata [24]

Answer:

In 54 minutes, it'll be 10:30.

6 0
2 years ago
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
3 years ago
Read 2 more answers
Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
stealth61 [152]

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

  • x-coordinate of the point does not change, but
  • y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

8 0
3 years ago
The area of a rhombus is 90 square inches. If the longer diagonal measures 18 inches, what is the length of the shorter diagonal
lorasvet [3.4K]
10 Inches

A = p q / 2

p = diagonal 1
q = diagonal 2

2A / q = p

Solve for p
180/18 = 10
5 0
3 years ago
if the sum of a number and nine is doubled, the result is seven less than the number. find the number.
avanturin [10]
X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7

We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
x=-25

answer: the number would be:  -25.
3 0
3 years ago
Other questions:
  • Which steps could be used to solve this story problem? A squirrel ate 35 peanuts every day for a week. The next week it ate 42 p
    13·1 answer
  • When trying to gather information in order to identify a problem, it is important to _______.
    13·2 answers
  • Trigonometry Story Problem? A gondola on an amusement park ride spins at speed of 13 revolutions per minute. If the gondola is 2
    5·1 answer
  • The expression -5p + 20 factored is<br> factor out the coefficient of the variable
    13·1 answer
  • Tessa claims that a rotation of 90° clockwise about the center of some polygons will carry the polygon onto itself. Select two p
    8·2 answers
  • Please help (pre algebra)
    8·2 answers
  • Part 1: Celebration!
    7·2 answers
  • What’s the answer to #3?
    14·1 answer
  • Pls help semester ends to day pls help with both 16 and 17
    5·2 answers
  • How many 3 digit numbers can you make using these numbers: 4,2,9 (numbers can be reapeated)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!