Type the correct answer in each box.
What values of a and b make this equation true?
(4 + ✓–49) – 2(/(-4)2 + V–324) = a + bi

Answers

Answer 1

Answer:

-4 , -29

Step-by-step explanation:

Answer 2

The values of a and b that make the equation true are -28 and -9, respectively

How to determine the true values of a and b?

The equation is given as:

(4 + √-49) – 2((-4)² + √–324) = a + bi

Evaluate the exponents

(4 + 7i) – 2(16 + 18i) = a + bi

Expand the bracket

4 + 7i – 32 - 16i = a + bi

Collect like terms

4 – 32 + 7i - 16i = a + bi

Evaluate like terms

-28 -9i = a + bi

By comparison, we have:

a = -28 and b = -9

Hence, the values of a and b that make the equation true are -28 and -9, respectively

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ2


Related Questions

Simplify. 4√−99
Enter your answer, in simplest radical form, in the box.

Answers

Answer:

Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.

By simplifying the expression 4√−99, we have; 12i√11.

To simplify 4√−99, we first need to simplify the number present within the square root.

To do this, the factors are determined as follows;

4 × √9 × √-11

We can therefore find the square root of 9 so that we have;

4 × 3 × √-11.

4 × 3 × √-11

12 × √-11

Furthermore, √-11 can be rewritten as;

√-1 × √11.

However, in complex numbers, √-1 = i.

Ultimately, we have 12i√11 as the simplification of 4√−99.

Read more:

https://brainly.com/question/12375854

Evaluate the expression:
5a - b + c when a = 1, b = -1, and c = -1

Answers

Answer:

-1

Step-by-step explanation:

5a-b+c

Plugin what you know

5(1)-1-1

Solve

-1

What is the approximate value of x? Round to the nearest tenth.

Answers

Answer:

40 degreses

Step-by-step explanation:

there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.

Answer:

c

Step-by-step explanation:

cause it is

Will give Brainliest to whoever can help me

Answers

Answer:

-4/3, -0.4, 0.8, [tex]\sqrt 2[/tex], [tex]\sqrt 11[/tex]

Step-by-step explanation:

-4/3 equals -1.333(repeating)

\sqrt 2 = 1.4

\sqrt 11 = 3.3

HELP PLS IM GOING TO CRY

Answers

Answer: y = 4/4x +  3

Is this table proportional or non-proportional
X 8,16,24,32
Y 2,4,6,8

Answers

The table is Proportional

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.
What must be the value of x so that lines c and d are parallel lines cut by transversal p?

12
18
81
99

Answers

The value of x so that lines c and d are parallel lines cut by transversal p is 12

Angles and transversals

From the given figure, the sum of the given angles is supplementary, that is:

3x + 45 =  81

Subtract 45 from both sides

3x + 45 -45 = 81  - 45

3x = 36

x = 12

Hence  the value of x so that lines c and d are parallel lines cut by transversal p is 12

learn more on transversals here: https://brainly.com/question/24607467

Answer: B

Step-by-step explanation:

18

The table shows values for the two functions f and g for different values of x.

What is f(g(0))?

-1

0

1

This composition is undefined.

Answers

Answer:

C.) 1

Step-by-step explanation:

EDG 2020

The value of f(g(0)) is 1.

What is Composition of Functions?

Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).

h(x) is called the composite function.

Given a table which shows values for the two functions f and g for different values of x.

We have to find the value of f(g(0)).

f(g(0)) = f[ g(0)]

From the table, g(0) = -1.

f(g(0)) = f(-1) = 1

Hence the value of f(g(0)) is 1.

Learn more about Composition of functions here :

https://brainly.com/question/5614233

#SPJ7

The table is given below.

A water tank initially contained 70 liters of water. It is then drained at a constant rate of 2.5 liters per minute.

How many minutes have passed, m, when the tank contains 46 liters? Round to the nearest tenth.

Answers

Answer:

9.6 minutes

Step-by-step explanation:

46=-2.5x+70

2.5x=24

9.6 = x

I need to solve for c
3b +ac=c-4

Answers

Answer:

The answer is

c=-4+3b/a-1

I need help finding x and y angle.

Answers

Y: 90 degree, right angle
X: 52 degree, acute angle
Hopefully this is what you were asking!

PLEASEE HURRY what is the value of x?

Answers

65 because 180-45=135. And 135-5=130. 130/2=65!

jenny invited Hannah to go watch a movie with her family

Answers

Answer:

idk what this is 4

Step-by-step explanation:

Answer:

Hannah said no.

Step-by-step explanation:

Hannah doesn't like Jenny anymore, Jenny's too annoying and full of herself. Hannah doesn't want to be around Jenny anymore, her ego is too big for her, and that's saying something.

given A(-2,1) and B(4,3), what is the midpoint of segment AB​

Answers

Answer:

(1,2)

Step-by-step explanation:

to find the midpoint of a line you have to find the midpoint of the x and the y

x is -2 and 4 the midpoint is 1

y is 1 an 3 the midpoint is 2

(1,2)

Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution

Answers

Answer: I believe it would be no solution

Step-by-step explanation

Answer:

No solutions

Step-by-step explanation:

y=7x+12;y=7x+2

Step: Solvey=7x+12for y:

y=7x+12

Step: Substitute7x+12foryiny=7x+2:

y=7x+2

7x+12=7x+2

7x+12+−7x=7x+2+−7x(Add -7x to both sides)

12=2

12+−12=2+−12(Add -12 to both sides)

0=−10

Can some one help me PLEASEEE

Answers

3 months, 96 plus 78x3 = 330 (78x3=234+96) 110X3=330 meaning it is 3 months
The answer is 3 months.

What is the equation of the line that is perpendicular to y equals negative four x plus five and passes through the point four comma negative three ?

Answers

Answer:

y= 1/4x - 4

Step-by-step explanation:

use point slope form which is:

y - y1 = m(x - x1)

we know that the slope will be 1/4 because perpendicular is a negative reciprocal.

plug everything into point slope form:

y + 3 = 1/4 ( x - 4)

we distribute the 1/4 and then subtract the three and we get our answer

y= 1/4x - 4

I’ve been trying to answer this question and it takes me forever. Can you guys help ,e with this one?

Answers

Answer: for the first one it is +1

for the second one it is +3

for the third one it is +7

for the 4th one it is +13

and for the fifth one it is +21

Somebody please help!

Answers

Answer:

:) :) :) :) :) :) :) Hiiiiiiiii

Step-by-step explanation:

It -13. When you multiply 5 and -3, it's -15 and hen add 2, ad it will be -13.

What is the slope of the line defined by 3 x - 2 y = 10 ?

Answers

Answer:

3/2

Step-by-step explanation:

if you put the equation in slope intercept form you get y=3/2x-5

\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=16 b(n)=b(n−1)+1 ​ Find the 2^{\text{nd}}2 nd 2, start superscript, start text, n, d, end text, end superscript term in the sequence.

Answers

Answer:

17

Step-by-step explanation:

Dont listen to these bums

The second term in the sequence is 17.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence

If b(1) = 16... (1)

The second term of the sequence is generated for n= 2:

b(n)=b(n-1)+1

b(2)=b(2-1)+1

b(2) = b(1)+1... (2)

Substituting equation 1 into 2

b(2) = b(1)+1

b(2) = 16 + 1 = 17

Hence, The second term in the sequence is 17.

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

NEED HELP QUICK! IT'S FOR AN ASSIGNMENT DUE TODAY!

Answers

Answer:

A =72 in^2

When dilated

    =1152 in ^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

We need to convert the units to match

2 ft= 24 inches

A = 1/2 ( 24*6)

A = 1/2 (144)

A =72 in^2

When dilated 6 inches *4 = 24 inches

                      24 inches *4 = 96 inches

A = 1/2 ( 96*24)

   = 1/2(2304)

    =1152 in ^2

What's an equation that will move the graph of the function f(x) = x^2 left 2 units and down 4.

Answers

Answer:

y = f(x+2)-4

Step-by-step explanation:

you change x in the bracket(+ is left, - is down)you change y outside the bracket(+ is up, - is down)

To answer this question, type your answer in the box.

Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
answer for free brainly

Answers

Answer:

20 feet

Step-by-step explanation:

Find the equation of the line

Y= __x + __

Answers

Answer:

Step-by-step explanation:

(0, -9) and (3,3)

(3+9)/(3-0) = 12/3 = 4

y + 9 = 4(x - 0)

y + 9 = 4x - 0

y = 4x - 9

Can someone help me with this please

Answers

Answer:

8.94427191

Step-by-step explanation:

8^2 + y^2 = 12^2

64 + y^2 = 144

y^2 = 80

y = 8.94427191

The sum of 3 consecutive integers is 120. What is the greatest of these integers? HELP ME IT'S DUE TODAY!!!

Answers

Answer:

              41

Step-by-step explanation:

The consecutive integers are increasing by 1

x ← the smallest integer

x+1 ← the middle integer

x+1+1 = x+2   ← the largest integer

x + x+1 + x+2 = 120

   3x + 3 = 120

      ÷3        ÷3

      x + 1 = 40

         -1       -1

        x = 39

x+2 = 39 + 2 = 41

Compare the ratios in Table 1 and Table 2.

Table 1
3
5
6
10
9
15
12
20

Table 2
7
10
14
20
21
30
28
40

Which statements about the ratios are true? Check all that apply.
The ratio 3:5 is less than the ratio 7:10.
The ratio 3:5 is greater than the ratio 7:10.
The ratio 14:20 is less than the ratio 9:15.
The ratio 14:20 is greater than the ratio 9:15.
The ratios in Table 1 are less than the ratios in Table 2.
The ratios in Table 1 are greater than the ratios in Table 2.

Answers

Answer:

the answer is A,D, and E

Step-by-step explanation:

i just got it right xd

What is the radical expression that is equivalent 27 1/5?
Enter your answer as a radical. For example, if your answer is 14−−√3, enter your answer like this: cuberoot(14)

Answers

Answer:

possible answers are shown in picture.

Step-by-step explanation:

Just tell me why the answer is right ( Will give brainliest)

Answers

Answer:

D

Step-by-step explanation:

the answer you chose is correct because if you isolate x (shown below), you end up with -5. there is also no equal sign under the less than symbol, so that means it is an open circle, which it is. however, you must flip the sign when multiplying or dividing by a negative number in inequalities, so this becomes a greater than symbol, showing that x is greater than -5. this accurately portrays the given inequality on the number line.

-5x-6<19

-5x<25

x>-5

Answer:

D

Step-by-step explanation:

and because its right

Other Questions
A Turtle traveled 1/10 mile in 1/2 hour. What was the turtles rate in miles per hour?A.1/20B.1/12C.1/6D.1/5 Why were colonial womenimportant in the work force? Find the domain and range of the function. f(x)=|2x|-sin x Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer Please help ASPA thanks Explain the kings order with proclamation of 1763 What is the value of x?O 780 84o 96O 102 I NEED THIS ASAP!!!!Which of the following are examples of career clusters? Select all that apply.Real EstateArts, A/V Technology, and CommunicationEducation and TrainingFinanceGovernment and Public Administration help and pls explain how you know. will mark the brainiest. What we can do for our country and the world? Which is the best definition of an allegory?A: a story with humanlike animalsB: a story with many charactersC: a story with a symbolic messageD: a story with a happy ending Moving from less-developed (poor) countries to more developed countries is one global demographic (population) trend. Another global population trend is... apeople leaving the cities to live on hilltops. burbanization, people moving to cities. cpeople moving to rural areas to live traditional forms of life dreduced global trade. How can citizens protect civil liberties? how do u say the spanish class starts at 12.07 in spanish Which of the following statements about the North and/or South are true?A. The North was less industrialized and had a lower literacy rate than the South.B. Wealthy planters were at the top of the South's social hierarchy and relied on slaves for cheap labor.C. The South favored more federal government involvement and higher tariffs.D. The North's economy focused on agriculture, while the south's focused on manufacturing. Click on the correct answer.\(\frac{2}{5}\div2\frac{1}{4}\)a:\(\frac{8}{45}\)b:\(\frac{9}{10}\)c:\(1\frac{1}{9}\)d:\(5\frac{5}{8}\) why is trade necessary? explain with example. Find the 84th term of the arithmetic sequence -5,15,35, ... Evaluate -9x-2 when x=-4