Mathematics Middle School

pls show work/steps for both questions
1. Evaluate [tex]\frac{-5+2i}{1+7i}[/tex]. (Here [tex]i = \sqrt{-1}[/tex].)
Write in [tex]a + bi[/tex] form.

2. Let [tex]f(x) = \sqrt{36-x^2}[/tex]. Find the domain and range of f(x). Write answers in interval notation.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{-5+2 \iota}{1+7 \iota} \times \frac{1-7 \iota}{1-7 \iota} \\=\frac{-5+35 \iota+2 \iota-14 \iota^2}{1-49 \iota^2} \\=\frac{-5+37 \iota-14(-1)}{1-49(-1)} \\=\frac{9+37 \iota}{50} \\=\frac{9}{50} +\frac{37}{50} \iota[/tex]

2.

domain is x²≤36

|x|≤6

-6≤x≤6

or [-6,6]

Related Questions

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

[tex]0.5236 ft^{3}[/tex]

Step-by-step explanation:

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

V = [tex]\frac{4}{3} \pi 0.5^{3}[/tex]

V = 0.5236

It’s 1.5*2 x Pi x 4/3

Pls do the second one due today

Answers

Answer:

36

Step-by-step explanation:

the hole is the area

to find the area you do base x height

Please Help! The graph relates the height of the water in a tank y (in inches) to the volume of the water x (in gallons).

A. Is the relationship proportional?

B. Write an equation of the line and interpret the slope.

C. What is the height of the water in the tank when the volume is 250 gallons?

The graph is attached.

Answers

Answer:

I Believe it is B

Step-by-step explanation:

x=100 and y=6

A. The relationship is directly proportional.

B. The required equation is x = 20y

C. The height of the water is 12.5 inches.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the graph, we obtain two pair of points (1, 20) and (2, 40).

∴ Slope(m) = (2 - 1)/(40 - 20) = 1/20.

Now, 40 = 20(2) + b.

b = 0.

So, y = 20x is the required equation.

A. The relationship is directly proportional.

B. The required equation is x = 20y.

C. The height o the water when the volume is 250 gallons is 250 = 20y

y = 12.5 inches.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ5

4x + 2(x + 6). What is the simplified expression

Answers

Answer:

6x + 12

Step-by-step explanation:

4x + 2 (x + 6)

4x + 2x + 12

6x + 12

The simplified answer is 6x + 12
But if you need the value of x, the value of x is 2

Use this picture to write a ratio. What is the ratio of apples to bananas?
1:2
2:1
1:4

Answers

Answer:

1:2

Step-by-step explanation:

If its just apples to bananas then it would be 1:2

Answer:

1:2 because you have 1 apple and 2 bananas

Answer please I will try to mark Brainliest

Answers

i’m not 100% if this is the answer but In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
the answer is 11pi/3

pls help me
In the figure, is an exterior angle to . complete sentence
(a) What is m<3 ?
(b) What is ?
(NOTE: Dont just say : "iTs B iTs A" because it isnt a A or B question)

Answers

Answer:

m∡3 = 103°

m∡4 = 77°

Step-by-step explanation:

∡3 = 180 - (57 + 20) = 103

∡4 = 180 - ∡3 = 77

PLEASE HELP NO...

NO NONSENSE PLZZZ

Answers

Answer:

So, basically they want the answers of the problems?

Step-by-step explanation:

1. seven feet is below 4 1/2 feet below sea level

2. sixteen is higher then zero

3. three feet is less then five and a half

4. loosing $500 dollars is worse then gaining $200

5. 64 is worse then a 65

6. 13.2 is more then both November and October combined

^ don’t report me but this guy or girl that answered this is right

A rectangle has a length of 2x+7 and a width of 3x+8.

Write and simplify an expression for the perimeter of that rectangle

pls help

Answers

Answer:

2x+7+3x+8=5x+15

A perimeter is a sum of lengths of sides of a lateral.

It would be 5x + 15. This is if you add the 2x and 3x it would be 5x. Then If you did 8 plus 7 is would be 15. The final expression would be 5x + 15

Please help me solve these problems

Answers

Answer:

1st option

Step-by-step explanation:

y=3x^2-24x+58

solve
-7(6 + d) = 49

Answers

Answer:

-13

Step-by-step explanation:

-42-7d=49

-7d=49+42

-7d=91

-d=13

d=-13

!!!!!(Help me please)!!!!!

Answers

okey no i don't speak english jsjsj ._.

Answer:

A 28

Step-by-step explanation:

17  17 | 20  22  |22|  25  27 | 29  30

18/19 : lower quartile

22 : median / middle quartile

28 : upper quartile

the table shows the relationship y=kx. what is the constant proportion, k?

Answers

Answer:

[tex]k \: = 4 [/tex]

Step-by-step explanation:

Thanks alot

4 is the correct answer

[HELP! PLEASE]
How can you use the double number line diagram to find what percent 240 is of 300​?

Answers

Answer:

1.     second  

Step-by-step explanation:

is this like a test or sum

Second why does this look like a test you cant really use brainly for test answers

please help me im confused.

Answers

They said that x=3 so that means 3 to the third power. 3 to the third power is 27x. 27x+ 6x=33x and since 33x and 5 don’t have like terms the equation would be 33x+5

Answer:

50

Step-by-step explanation

substitute the value of the variable into the equation and simplify.

Write an inequality for the situation

A. Shane has more than 5 pets

B. Adam must earn at least $200 to buy a new bike

3. Bre's math test score cannot be less that a 75% to keep her current math grade

4. Sarah's dance practice is at most 2 hours long

5. Shannon is less that 8 years old

Answers

A) Shane’s pets >5
B) Money Earned > 200
3) Bre’s Score > 75
4) Sarah’s Dance practice ≤ 2 hours
5) Shannon’s Age < 8 years old
A. >5
B. >$200
3. >75%
4. <2
5. <8

Hope that helps!!

A shoe store bought a pair of shoes for $50, and sold it for $80. What percentage was the mark-up?

Answers

Answer:

37.5%

Step-by-step explanation:

3.7% hope it helps ya

A. 46 square centimeters
B. 96 square centimeters
C. 176 square centimeters
D. 320 square centimeters

Answers

Answer:

C

Step-by-step explanation:

This is because when you cut both of them, the first rectangle would be 80 and the second would be 96 and 80+96 is 176

PLEASE GIVE BRAINLIEST PELAEMAN MNAP LEASE MAN PELASE

the answer would be c
you have to find the area of the entire shape so length times width for both of the rectangles
16 x 6= 96
and
20 x 4=80
then add the two rectangles together and you get the area of the entire shape
96+80=176

PLZ PLS PLZ ANSWER BOTH OF THESE!!!!!!!!

Answers

The first one is C because on a coordinate plane is you count the number of spaces between them it’s 7 side to side( horizontal) and the second one is quadrant 2 because when reflecting across the y axis you move over the y axis which is why it’s quadrant 2. Hope this helps!

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units?

a) 2 over 3 unit
b) 1 unit
c) 1 and 2 over 3
d) 2 unit

Answers

The answer is D) 2 unit.

Answer:

2 units!

Step-by-step explanation:

Help me with this question.

Answers

Answer:

E is the answer

Step-by-step explanation:

I used my head. Hope this is right.

I think the answer is b

Can someone help me? It's Algebra I. If you answer this can you explain how you did it?

Answers

I agree it is one and I used this calculator called MathPapa that can help with algebra you should try it. It is free.

Hopefully the pictures are not upside down

Answers

Answer:

I believe that it's A

Step-by-step explanation:

hope it helps

Could someone help me find the answer I'm terrible at this unit

Answers

Hope this helps!! :))

What’s the answer for all 3 boxes

Answers

Answer:

63 left. 105/90 = 63/54, so she should sell 54 band posters

Step-by-step explanation:

105 - 42 = 63

105/63 = 1.66

90/1.66 = 54

You had a bag of fruit snacks that you shared with 4 friends. Each of you got at least 2 fruit snacks. The inequality x/ 5 ≥ 2 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

Answers

Answer:

10 fruit snacks were in the packet.

Step-by-step explanation:

lets look at the numbers, we have 5 and 2. your answer is 8 because 5x2=10

it would basiclly be the same as dividing. say your question was you have a packet of fruit snacks, there are 10 fruit snacks in the packet and 4 friends and you how many did you each have the answer would be 2.

your probably wondering why its 5 and not 4 well the question says... You had a bag of fruit snacks that you shared with 4 friends, it says you shared so that is why its 5 and not 4.

HOPE THIS HELPS!!!!!! :)

Taut and Saint determine that once the shop opens they can earn $12 in profit for every $1.00 spent on all the purchases above. How much money can Taut and Saint expect to make in profit?

Answers

The answer would be 11

Answer:

this is the answer 11

do u go to ms 358

When Mrs. Harris was at the grocery store, she selected several peaches to purchase. She weighed them on a scale in the produce department and the scale read 1.75 pounds. When she checked out, the electronic scale read 2.0 pounds. What was the percentage of error between the two scales? im tired and want to go to bed so plz help

Answers

i think it’s 25%, but i’m not sure.

Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.

Answers

it’s 27. 58 and 5/12 rounds down to 58, 30 and 5/7 rounds up to 31. 58-31= 27

Answer:

27

Step-by-step explanation: 58 and 5/12 rounds down to 58, 30 and 5/7 rounds up to 31. 58-31= 27

will give brainlest please try to do it quick im doing a test

Answers

Answer:

do what???

Step-by-step explanation:

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