Write the expression in the form a+bi.
√ -4 - √144

Answers

Answer 1

Answer:

-12 + 2i

Step-by-step explanation:

[tex] \sqrt{ - 4} - \sqrt{144} \\ \\ = \sqrt{ - 1 \times 4} - \sqrt{144} \\ \\ = \sqrt{ - 1} \times \sqrt{4} - \sqrt{144} \\ \\ = i \times 2 - 12 \\ \\ = - 12 + 2i \\ \implies \: a + bi[/tex]


Related Questions

Law of sines and cosines word problem

Answers

Answer:

AC = 0.47 mi

BC = 0.51 mi

Step-by-step explanation:

Notice that we are in the case of an acute triangle for which we know two angles ( < A = 63 and < B = 56) and one side (AB = 0.5).

We can find the measure of the third angle using the property of addition of three internal angles of a triangle:

< A + < B + < C = 180

63 + 56 + < C = 180 degrees

< C = 180 - 63 - 56 = 61 degrees.

Now we use the law of sines to find the length of sides AC  and BC:

[tex]\frac{0.5}{sin(61)} =\frac{AC}{sin(56)}\\AC=\frac{0.5*sin(56)}{sin(61)} \\AC\approx 0.4739\,\,\,mi[/tex]

which can be rounded to two decimals as:

AC = 0.47mi

For side BC we use:

[tex]\frac{0.5}{sin(61)} =\frac{BC}{sin(63)}\\BC=\frac{0.5*sin(63)}{sin(61)} \\BC\approx 0.509\,\,\,mi[/tex]

which can be rounded to two decimals as:

BC = 0.51 mi

Choose True or False for each statement.
The product of 2.5 and 2.4 is 6.
?
The product of 7.7 and 0.9 is
69.3.
?
The product of 0.07 and 0.9 is
6.3.
?
The product of 0.97 and 2.5 is
2.425.

Answers

Answer:

1. True

2. False

3. False

4. True

Step-by-step explanation:

Answer:

1) true, 2.5x2.4=6

2) false, 7.7x0.9=6.93, not 69.3

3) false, 0.07x0.9=0.063

4) true, 0.97x2.5=2.425

Which product is negative?
(-3/8)(-5/7)(1/4)
(3/8)(-5/7)(-1/4)
(3/8)(5/7)(1/4)
(-3/8)(-5/7)(-1/4)

Answers

Answer:

The third one is the answer

Step-by-step explanation:

hope that helps

(−3/8(−5/7))(−1/4)

= −15/224

Answer:

The third one!

Step-by-step explanation:

whatsy the answer giving brainliest

Answers

Answer:

D

Step-by-step explanation:

You dont know what the number is, so replace that with the variable X. Now, more than is a reversal term and it means to add. So, the equation will be

x + 44

Hope this helps you!!  :)

4 16/17 as a improper fraction

Answers

Answer:

[tex]\frac{84}{17}[/tex]

Step-by-step explanation:

Formula for mixed number to improper fraction: (Whole number × denominator) + numerator4 × 17 = 68, 68 + 16 = 84Re-write the fraction: [tex]\frac{84}{17}[/tex]  

I hope this helps!

84
___

17


this is true by 17 x 4 = 68 + 16 = 84

6th grade math I mark as brainliest

Answers

Answer:

C

Step-by-step explanation:

Hope this helps :)

Martha states that –6 is a rational number. Which is a correct explanation for this statement? The number –6 is the opposite of 6. The number –6 is a negative integer. The number –6 can be written as StartFraction negative 6 over 1 EndFraction. The number –6 is less than 0.

Answers

Answer: The number –6 is a negative integer.

Step-by-step explanation:

All integers are rational numbers.

mother is m years old,and she is 4 times old as her daughter.How much older is mother then daughter.

Answers

Answer:

The mother is 3d older than the daughter

Step-by-step explanation:

Given

Represent the mother's age with m

and

The daughter's age with d

Required

Determine how much older is the mother

First, we need to calculate the mother's age

[tex]m = 4 * d[/tex]

[tex]m = 4d[/tex]

Next, we calculate their age difference

[tex]Age\ Difference = m - d[/tex]

Substitute 4d for m, we have:

[tex]Age\ Difference = 4d - d[/tex]

[tex]Age\ Difference = 3d[/tex]

Hence, the mother is 3d older than the daughter

Help plz:))) I’ll mark u brainliest ASAP 10 points(:(:!!


....

Answers

Answer:

B

Step-by-step explanation:

4/√8+3
please this little guy wants to disturb me,help, thanks.​

Answers

Answer:

[tex] \sqrt{2} + 3[/tex]

Step-by-step explanation:

SIMPLIFY the radical expression...

SO IT'S

[tex] \frac{4}{2 \sqrt{2} } + 3[/tex]

Reduce the fraction with 2

Now it's

[tex] \frac{2}{ \sqrt{2} } + 3[/tex]

Rationalize the denominator...

SO IT WILL BE

[tex] \sqrt{2} + 3[/tex]

EASY EXPLANATION...

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Sᴋ᭄Sᴀᴍɪʀᴮᴼˢˢ

The number of geese at a city park in the year 2015 was 132. The population is declining by 3 geese every two years. The population expressed as a sequence is

Pn=132−3/2n
Find P10. What does this number represent?

Answers

Answer:

Step-by-step explanation:

p10 would be 117 geese

132-3/2(10)

132-15

117

The number represents the population after 10 years

which of the following ratios are equivalent to 6:8? (select all that apply)

24:36
9:12
12 to 16
16 to 24
36/40
15/20​

Answers

Answer:

D and E

Step-by-step explanation:

I have seen the correct answer

The ratio equivalent to 6:8 is 12:16 and 9:12

What is a ratio?

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here the ratio 6:8 =3/4

and among the options 9/12=3/4 & 12/16=3/4

Hence, The ratio equivalent to 6:8 is 12:16 and 9:12

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Graph the image of the figure after a dilation with a scale factor of ½ centered at (4, 8).

Answers

Answer:

A(4.5 , 7) B(6.5 , 7) C(6.5 , 4) D(2 , 4)

Step-by-step explanation:

Hope this helps!

1. Joe uses a jogging trail that runs through a park near his home. The trail is a loop
that is 1 1/2 miles long. On Monday, Joe ran the loop in 1/4 of an hour. What is
Joe's unit rate in miles per hour (miles/hour) for Monday's run?

Answers

Answer:

Step-by-step explanation:

Give me a sec to work it out

The splitting apart of one cell to form two new cells is called ____

meiosis

fusion

mitosis

Answers

mitosis

Mitosis is a process where a single cell divides into two identical daughter cells (cell division). During mitosis one cell. divides once to form two identical cells. The major purpose of mitosis is for growth and to replace worn out cells.

Answer:

mitosis

Step-by-step explanation:

What is the answer and can you please show your work. Tysm for your help!

Answers

Answer: XY=21 YZ=29

Step-by-step explanation: okay so the entire line (XZ) is equal to 50, and its made up of a and a + 8. So you can make an equation out of that.

a+a+8=50

2a+8=50

2a=42

a=21

then you just have XY equal 21, and YZ equal 21+8 or 29.

Answer:

XY = 21

YZ = 29

Step-by-step explanation:

XZ = 50

XY = a

YZ = a + 8

XY + YZ = XZ

a + (a + 8) = 50

2a + 8 = 50

2a = 50 - 8

2a = 42

a = 42 ÷ 2

= 21

hope this helps

Find the product 5,917 × 29

Answers

Answer: 171593

Step-by-step explanation:

There are 30 students in the class. Eleven have blue eyes.
Fifteen have brown hair. Three students have both blue
eyes and brown hair. How many students have neither blue
eyes nor brown hair?


I HAVE A ANSWER BUT DONT KNOW IF ITS RIGHT HELP MEEE!

Answers

The answer to this question is 7

PLs help, what is 2*57*102...

(Im doing experiments with the Brainliest Option)

Answers

Answer:

11628

Step-by-step explanation:

Thanks!

Which of these is a geometric sequence?
2,3,5,9,17

Answers

Answer:9

Step-by-step explanation:

Your Answer is: 9 (nine)

2/3 cup of sugar for 24 cookies equal how many cup in 1 cookie?

Answers

Answer:

0.02777777777

Step-by-step explanation: 2/3 divided by 24 = 0.02777777777

ask anything here, physics and math​

Answers

Answer:

what about python?

Step-by-step explanation:

Also, is it for homework?

If you know that a 30% increase in a quanity is 50, how can you find the original quanity?​

Answers

It should be 15% I think I’m right

the sum of 26 and twice a number is -46 find the number​

Answers

Answer:

-72

Step-by-step explanation:

Sum is adding so I just did substitution for this. 26+-72=-46 because a positive plus a negative equals a negative.

Karen spent a total of $15.45 on a trip to the movies. She spent $5.00 on a daily bus pass, and $3.95 on movie snacks. How much did she spend on her movie ticket? I NEEE THIS ANSWERD NOW PLEASE AND THANK YOU

Answers

Answer:

The answer is 24.4

Step-by-step explanation:

If you add 15.45, 5.00 and 3.95 you get 24.4

Answer:

I think it's 6.50

Step-by-step explanation:    15.45-5.00=10.45-3.95=6.50

The graph below represents the price of sending picture messages using the services of a phone company. What is the constant of proportionality?

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The values on the y axis are 0, 22, 44, 66, 88, 110, 132, 154, 176, 198, 220. Points are shown on ordered pairs 0, 0 and 2, 44 and 4, 88 and 6, 132 and 8, 176. These points are connected by a line. The label on the x axis is Picture Messages Sent. The label on the y axis is Price in cents.

A. 10
B. 11
C. 21
D. 22

Answers

Answer:

D. 22

Step-by-step explanation:

I took the test

Answer:

d

Step-by-step explanation:

What is the x-coordinate of point P on the coordinate grid?

Answers

-1.5 is your answer, your welcome
I think the answer is -1 1/2

Find 162.5% of 200
(HURRRY PLEASE)

Answers

Answer:

325

have a nice day and can I have brainliest?

Answer:

325.

Step-by-step explanation:

200/x=100/162.5

(200/x)*x=(100/162.5)*x       - we multiply both sides of the equation by x

200=0.61538461538462*x       - we divide both sides of the equation by (0.61538461538462) to get x

200/0.61538461538462=x

325=x

x=325

Hope this helped

What is equivalent to 6/8

Answers

Answer:

12/16

Step-by-step explanation:

Answer:

6/8 is equivalent to 12/16

Please help me with all thank you I’ll mark Brainly please put A. B. C. D next to the answer

Answers

Answer:

A. 1.9

B. 3.5

C. 4.2

D. 4.9

I'M KINDA SURE

Step-by-step explanation:

Those images aren't good enough, I can't really get a good look. Basically, if there are nine little lines between each whole number, then each little line represents a tenth of a whole number, or 0.1. If there are four little lines between each whole number, then each little lines is 0.2. So, you just count up from the whole number below the value. For A, start at 1.0 and count up, each little line is 0.1 (if there are nine lines between each whole number), and figure out where A lies. Hope it helped, wish I could give a definite answer.

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