Show all work to multiply

Show All Work To Multiply

Answers

Answer 1

Answer:

-42+10i

Step-by-step explanation:

*start with the square roots

\sqrt{-25} \\ =5i

\sqrt{-100} \\ = 10i

*then insert values

(2+5i)(4-10i)

*Use FOIL to multiply

2x4 + 2x-10i + 5ix4 + 5ix10i

*Simplify

8-10i+20i+50i(squared)

*Add like terms

-42+10i

*( i squared = -1 )


Related Questions

Perfume is sold in two different sizes of bottle. The 80ml bottle is priced at £55. The 50ml bottle is usually priced at £45, but is on special offer. If you buy one 50ml bottle of perfume you can get a second for half price.
By calculating the price per ml determine which offers the best value for money the 80ml or two 50ml bottles ? You must show your working .

Answers

Answer:

Step-by-step explanation:

Price per ml of  80ml bottle= 0.68

price per ml of 50 ml bottle= 0.9

therefore two 50ml bottles is a better deal.


Helpppppoooodhdbdkdbiss

Answers

Answer:38

Step-by-step explanation: so if I am correct the picture says 8 divided by 304 so 8 enters 3 times in 30 so thats 3 and then 64 so it enters 8 times in there so answer is 38

If 10 - y = 7
What is y

Answers

Answer:

y = 17

Step-by-step explanation:

-y = 17

y = -17

Answer:3

Step-by-step explanation:

10-7=3

How do you do question 9? If you answer please explain.​

Answers

Answer:

bottom left is -2x and bottom right is -3

Step-by-step explanation:

if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline

The perimeter of a square
is 80 inches. Find the length
of each side.

Answers

Answer:

20

Step-by-step explanation:

The length and with of a square are the same. We know a square has 4 sides so we get 80 ÷ 4

The answer is 20.

Rate as brainliest

Answer:

Step-by-step explanation:

20

PLEASE HURRY !! The triangles below will be used to construct a polygon.
Which type of polygon could be created?

Answers

Answer:

Rectangle

Step-by-step explanation:

The lengths are congruent and the widths are congruent.

Answer: Rectangle (4 sided polygon)

Step-by-step explanation:

The length and breadth in both triangles are equal which can also be said to be congruent. Adding the two triangles since they are both equal would result in a rectangular polygon (Rectangle)

2 Points

At the beginning of this month, Cybil had $185.36 in digital money. So far this

month she has made deposits of $13.74, $58.27, and $69.30 into her

account, while she has made withdrawals of $19.29, $28.19, and $52.55.

How much digital money does Cybil have now?

Answers

Cybil now has $226.64

A vender is loading candybars into a vending machine. Each slot holds 130cm of candy barsand each candy bar is 1.5cm thick, how many bars will fit.

Answers

Answer:

86

Step-by-step explanation:

since the slot is 130 cm thick you divide that by the thickness of the candy bar 130/1.5 and then you get 86.6666666.....which rounds to 86 because the slot is not thick enough for another candy bar. good luck on whatever you needed this for!

The length of a rectangle is 2cm longer than the width. The perimeter is 52cm. What is the length and width of the rectangle?

Answers

Answer:

Width = 12 cm

Length = 14 cm

Step-by-step explanation:

Rectangle:

Let the width  = x cm

So, the length = (x+2) cm

Perimeter  = 52 cm

2 *(l+b) = 52

2 *(x+2  + x) =  52

   2 * ( 2x + 2) = 52

           2x + 2  = 52/ 2

           2x + 2  = 26

                 2x = 26- 2

                  2x = 24

                    x = 24/2

                    x = 12

Width = 12 cm

Length = 14 cm

Write the equation of the line through (3, −1) and parallel to 2x−y=6.

Answers

Answer:

2x - y = 7

Step-by-step explanation:

Parallel lines have the same slope and the equation will have the same form

That is

2x - y = c ← c will have different values depending on the point it passes through.

Here the line passes through (3, - 1 ) , thus substituting into the left side

2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence

2x - y = 7 ← equation of line

The line's equation is y = 2x - 7.

What are parallel lines?

In geometry, the coplanar straight lines that do not intersect at any point are called parallel lines. The slopes of parallel lines are equal because they are equally inclined with the positive x-axis.

How to solve this problem?

The equation of the given line is

2x-y = 6

i.e. y = 2x-6

We know that If the equation of a line can be expressed as y = mx+c, then the slope of this line is m.

So, the slope of this given line is 2.

We can assume that the equation of the line which is parallel to the given line can be written as

y = 2x + c ...(1)

, where c is a constant.

Since this line passes through the point (3, -1), you have to put x = 3 and y = -1 in (1), to get the value of the constant.

Now, c = y - 2x = (-1) - 2*3 = (-1) - 6 = -7

Putting this value in (1), we get

y = 2x - 7

Therefore the required equation of the line is y = 2x - 7.

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Find the measure of G

Answers

The answer is 71

This is how you set the equation: (6x-6)+(7x+1)+51=180

Combine like terms: 13x+50=180

Subtract 50 from both sides: 13x=130

Divide 13 from both sides and you get x=10

Plug in x into
7(10)+1=71

Is 1.1875 rational or irrational

Answers

Answer: rational

Step-by-step explanation: irrationals never stop

URGENT


The cost to rent a ballroom is $51 up front plus an additional $23 per hour. If a ballroom is
rented for 2 hours, what is the cost?

Answers

Answer:

97

Step-by-step explanation:

Equation:

51+23x, where x = the number up hours

so 51+23(2)=97

51+46=97

Are the sets equivalent? A= {Larry,Moe,Curly,Shemp}. B= {Posh, Sporty,Baby,Scary}

Answers

Answer:

yes

Step-by-step explanation:

equivalent sets have the same number of members

Sets A and B are not equivalent, have the same cardinality but no common elements in their intersection.

The sets A and B are not equivalent because they have different members.

The cardinality of set A is 4, and the cardinality of set B is also 4, meaning they have the same number of elements.

The intersection of sets A and B is the empty set, as they have no common elements.

Write 2,930,365 in expanded notation

Answers

Step-by-step explanation: The place value chart can help us write a number in expanded notation. When we put 2,930,365 into the place value chart, we can recognize that our number is equal to 2 millions + 9 hundred thousands + 3 ten thousands + 0 thousands + 3 hundreds + 6 tens + 5 units.

The place value chart is attached in the image provided.

Answer:

Step-by-step explanation:

why the sum of
a rational number and an irrational number is
always irrational.

Answers

Answer:

Because the irrational number (pi for example) plus a rational number ( [tex]\sqrt{4}[/tex] the square root of four is two) would be an irrational number (5.1415926535...)  

(I CAN EXPLAIN FURTHER)

plz help me i will give brainliest and 20 points

Answers

Step-by-step explanation:

2x - 12y  = 2(x - 6y)2(3x + 1) = 6x + 23x + 12   = 3(x + 4)6(x - 2y) = 6x - 12y6(x + 2)  = 6x + 126x + 3y  = 3(2x + y) = 1/2(12x + 6y)

The table shows the weight of a newborn infant for its first year. During which three-month period was the infant's weight gain the greatest?

0 Months: 7 1/4 lb

3 Months: 12 1/2 lb

6 Months: 16 5/8 lb

9 Months: 19 4/5 lb

12 Months: 23 3/20 lb

Answers

Answer:

12,9,6

Step-by-step explanation:

12=23 3/20. 9=19 4/5. 6=16 5/8.

The infant's weight was gain the greatest during (0 - 3 Months) three-month period.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The weight gain during (0 - 3 Months) three-month period

⇒ 12 1/2 - 7 1/4 = 25/2 -29/4 = 12.5-7.25 = 5.25 lb

The weight gain during (3 - 6 Months) three-month period

⇒ 16 5/8 - 12 1/2 = 16.625 - 12.5 = 4.125 lb

The weight gain during (6 - 9 Months) three-month period

⇒ 19 4/5 - 16 5/8 = 19.8 - 16.625 = 3.175 lb

The weight gain during (9 - 12 Months) three-month period

⇒ 23 3/20 - 19 4/5 = 23.15 - 19.8 = 3.35 lb

Therefore, the infant's weight was gain the greatest during (0 - 3 Months) three-month period.

Learn more about the Ratio here:

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Find the unit rate. Round to the nearest hundredth, if necessary.
$210 for 16 ft?
The unit rate is $

Answers

Answer:13.125

Step-by-step explanation: divide 210 by 16

The expression 146 ÷ 144 is equal to _____.

Answers

Answer:1.01

Step-by-step explanation:

Final answer:

The expression 146 ÷ 144 equals 1.0138. This result is obtained by dividing 146 by 144.

Explanation:

The expression 146 ÷ 144 equals 1.0138 when rounded to four decimal places. The calculation involves the division of two numbers, in this case, 146 divided by 144. To perform this calculation, you simply take the first number, 146, and divide it by the second number, 144, which gives you 1.0138.

Learn more about Division here:

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find the product: -3*(-12)

Answers

36. (-)•(-)=(+) 3•12=36 therefore the answer is 36
The answer is 36.
Hope that helps

Which point is NOT part of the solution of the inequality y < |3x| + 1?

Answers

Answer:

(3,15)

Step-by-step explanation:

y < /3x/ + 1

15 < /3*3/ + 1

15 < /9/ + 1

15 < 9 + 1

15 < 10

15 is not less than 10.

Write forty two and eight hundredths in decimal form

Answers

.428 I hope this helps!!
.428 hope this helps *^*

Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?

f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.

Answers

Answer:

f(x) is greater.

Step-by-step explanation:

if you replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9

The  function that has a greater value when x = 3 is option A: f(x) is greater.

What is the function

The function [tex]\(f(x) = 3x + 1\)[/tex] is a linear function with a slope of 3 and a y-intercept of 1. The function[tex]\(g(x)\)[/tex] is not explicitly provided in your question, so we don't have information about its slope or intercept.

To determine which function has a greater value when x = , we need to evaluate both functions at x = 3 and compare their values.

So, when one replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9

Read more about function  here:

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Solve this equation or formula for the variable indicated.
Solve for t: 7t = x

Answers

Greetings!

In this literal equation, the only thing we will have to do is get t by itself. In order to do that we will perform the opposite relation it has with 7, which is division, on both sides.

The answer will be x divided by 7 equals t, x / 7 = t.

Hope this helps!

Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2, period = , phase shift = – , vertical shift = –2

Answers

Answer:

[tex]y=2\cos(2x+\frac{1}{4})-2[/tex]

or

[tex]y=-2\cos(2x+\frac{1}{4})-2[/tex]

Step-by-step explanation:

[tex]y=a cos(c(x-b))+d[/tex] has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

write an equation in point-slope form of the line using points D(0,5),E(5,8)

Answers

Answer:

8 - 5 = m(5 - 0)

Hope that helps you! :)

what is slope of this pic I ONLY HAVE 3 MINS PLSHELP
A.2
B.5
C 1/2
D.5/3

Answers

Answer:

D. 5/3

Step-by-step explanation:

D slope is rise over run up 5 right 3 5/3

Use the commutative property of addition to write an equivalent algebraic expression

Answers

Answer:

9(x+5)=9(5+x)

Step-by-step explanation:

This is tricky because you were probably thrown off by the multiplication step from the parentheses. Since the question wants you to demonstrate your knowledge of the commutative property of addition, you will only worry about inside the parentheses.

So, the commutative property is basically just moving numbers/variables around the addition sign to show that the answer will remain the same either way.

Because of this, we can simply move the (x+5) around to (5+x).

Final answer: 9(x+5)=9(5+x)

how do you show your work for 70×114​

Answers

You dont there is no way to. You just say 70x114=7980

Answer: Write it out and solve!

Step-by-step explanation: See the attached photo

If you have ANY questions PLEASE ask!

༼ つ ◕_◕ ༽つ

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