Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)

Answers

Answer 1

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer 2

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15


Related Questions

Find the number,if 1/5 of it is 15

Answers

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

What is the y-intercept of function f?

Answers

Answer: it’s not 5 I got that wrong

Step-by-step explanation:

y-intercept of function f is 1.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function

f(x) = -3x -2 , -∞ < x < -2

     = -x + 1, -2 ≤ x < 3

     = 2x + 5, 3 ≤ x < ∞

For y-intercept, x =0, f(x) = -x + 1                   [∵ -2 < 0 < 3]

f(0) = -0 + 1

= 1

Hence, y-intercept of function f is 1.

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1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?

Answers

Answer:

Average speed is 15km/h

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h


[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast​

Answers

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

                                         

fourth root of 12*13^3          

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

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

PLEASE HELP 15 POINTS N BRAINLIEST

Answers

Answer:

OK don't worry we will help you get 15 points

a) Find slope (y2-y1)/(x2-x1)
Pick any two points: (5, 500), (10, 100)
(100-500)/(10-5) = -400/5 = -80
Y = -80x + h
Plot in the points
500 = -80(5) + h
500 = -400 + h
h = 900
b) Y = -80x + 900
(I have to go. I’m sure you can do the rest on your on )

A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT

Answers

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!

Select the missing property.
(9+3)v

Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property

Answers

Answer:

Associative property of addition

Step-by-step explanation:

yes

Helps me solve this problem please

Answers

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour

44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)​

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]

To simplify this fraction, let's divide the numerator and the denominator by 4:

44/4 = 11

100/4 = 25

The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]

A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make in all?

Answers

17. Because 7 plus 4 equals 11 and if you add 6 you get 17

Answer: 17

Just add the Numbers together this is a Addition question.

7 + 6 + 4 Or However you want to do it The answer will always be 17 if u do it as 4 + 6 + 7 or however else just don't add different numbers.

May I Have brainliest?


Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4

Answers

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

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Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation

Answers

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]

Answers

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled

Answers

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.


Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup

ANSWERS
one-fifth
4
two-thirds
5

Answers

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive

Answers

I think it’s negative but I’m not for sure

Simplify fully 4x^2+4x/2x^2-2

Answers

Answer:

Simplify the expression.

2x³ + 4x² − 2

6/5 divded by (-3/2)

Answers

Answer:

Step-by-step explanation:

6/5 ÷ -3/2 = 6/5 x -2/3

-12/15 = - 0.08

Answer:

− 4/5   or     −0.8

Step-by-step explanation:

8^1/3 dived by 5^-2
Please help

Answers

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST

Answers

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

Add 19 to ‘a’ and divide the sum by 5, you will get 8

Answers

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

what is 6 1/10 plus 5 4/5 ASAP please

Answers

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

HELLPP. ITS URGENT.50 PTS
Please show working.

Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))

Answers

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0

Step-by-step explanation:

Given

α and β are roots of 4x²-5x-1=0

Then the sum and product of the roots are:

α+b = -(-5)/4 = 5/4αβ = -1/4

(i) Roots are α + 1 and β + 1, then we have:

(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0

(ii) Roots are 2 - α and 2 - β, then we have:

(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0

(iii) Roots are α² and β², then:

(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0

(iv) Roots are 1/α and 1/β, then:

(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0

(v) Roots are 2/α² and 2/β², then:

(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0

A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.

Answers

Answer:

The answer is

[tex] \huge y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line in when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} - 3 \\ [/tex]

Hope this helps you

Show how you would simplify the following expressions. Show your work.

Answers

If you multiply numbers with the same base, their exponents would add while their base stays the same.

1. 3 + (-5) = -2
4^ -2 = 1/4^2 = 1/16

2. -2+ (-4) = -6
3^-6 = 1/3^6 = 1/729

166 2/3 percent as a fraction

Answers

Plz mark it brainliest

The fraction is 5000/3.

What is Percent?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

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Plz quick can some one help me with these two questions also plz show working out

Answers

22a. ¼ of salary = £3600
total salary = £3600 x 4 = £14400
total amount of salary spent
= (£14400x20%) + (2/5 x £14400) + £3600
= £2880 + £5760 + £3600
= £12240

total amount saved
= £14400 - £12240
= £2160

23a. amount anwar saves = 12%
= 0.12 of his salary
amount bethany saves = 1 - 7/8
= 1/8 = 0.125 of her salary

hence, bethany saves more money each week.
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