Write the product (4 + i)(4 − i) in the form a + bi.

Answers

Answer 1

Answer:16- i^2

Step-by-step exp

foil

Answer 2

Answer:

17

Step-by-step explanation:


Related Questions

Solve the equation 3x-4=8-x

Answers

Answer:

x=3

Step-by-step explanation:

3x-4=8-x(Group like terms)

3x+x=8+4(Add both sides)

4x=12(After adding you will proceed to divide both sides by 4)

x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)

1. What is -2y + 10 + 2y - 8 simplified?

Answers

Answer:

2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

-2y + 10 + 2y - 8

Step 2: Simplify

Combine like terms (y):                         10 - 8Combine like terms (constants);           2

Answer:

Step-by-step explanation:

-2y + 10 + 2y - 8 = 20 - 8 = 2

how do you solve 6-9(4p-3)= 2(6p+7)+3

Answers

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

Reorder the terms:

6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

6 + (27 + -36p) = 2(6p + 7) + 3

Combine like terms: 6 + 27 = 33

33 + -36p = 2(6p + 7) + 3

Reorder the terms:

33 + -36p = 2(7 + 6p) + 3

33 + -36p = (7 * 2 + 6p * 2) + 3

33 + -36p = (14 + 12p) + 3

Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

0 + -48p = 17 + -33

-48p = 17 + -33

Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

Answer: I got p=1/3

Explanation: Different easier way.

6-9*(4*p-3)-(2*(6*p+7)+3)=0

(6-(9•(4p-3)))-(2•(6p+7)+3) = 0

(6 - 9 • (4p - 3)) - (12p + 17) = 0

16 - 48p = -16 • (3p - 1)

-16 • (3p - 1) = 0

-16 = 0

3p-1 = 0

3p = 1

p = 1/3 = 0.333

Evaluate the expression below if m=-4, n= 3, and p=12

Answers

Answer:

26

Step-by-step explanation:

m=-4

n=3

p=12

m^2n+9p/√np

-4^2*3+9*12/√3*12

16*3+108/√36

48+108/√36

156/6

=26

which postulate(SAS, SSS, ASA, AAS or none) can be used to show each pair of triangles is congruent.​

Answers

Answer:

1.) SAS

2.) SAS

3.) SAS

Step-by-step explanation:

Pairs of vertical angles are the same

A side is equal to itself

Pairs of alternate interior angles are the same

A charm bracelet costs $65, plus $25 for each charm, write an equation in standard form that represents the total cost y of a bracelet that has x charms please help!

Answers

Answer: , y = 65+25x

Step-by-step explanation:

Let x = Number of charms

Given : Fixed cost of bracelet = $65

On addition , cost per charm = $25

Total cost of bracelet = Fixed charge + (Charge per charm)  x (number of charm)

If y= total cost.

Then, y = 65+25x , which is the required equation.

Find the hypothesis for side a 16 side b 20

Answers

I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following

a^2 + b^2 = c^2

16^2 + 20^2 = c^2

256 + 400 = c^2

656 = c^2

c^2 = 656

c = sqrt(656)

c = sqrt(16*41)

c = sqrt(16)*sqrt(41)

c = 4*sqrt(41)

The hypotenuse is exactly 4*sqrt(41) units long

This is approximately 25.612 when you use your calculator.

Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.

Answers

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?

Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction

StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half

Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1

Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth

Answers

Answer:

B

Step-by-step explanation:

i got it right

Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!

Answers

If it’s an angle I think 90% but if not maybe 24 all around

Will give brainliest if correct.

Answers

Answer:

The x-intercept is 4,0. The y-intercept is 0,2.

Step-by-step explanation:

when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.

Have a nice day!

X-intercept = (4,0)
Y-intercept = (0,2)

To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)

To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)

Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.

Answers

Answer:

Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75

The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.

Given :

Number  ---  75

The following steps can be used in order to determine the 45 percent of 75:

Step 1 - The unitary method can be used in order to determine the 45 percent of 75.

Step 2 - According to the given data, the given number is 75 which is 100%.

Step 3 - So, if 100% is 75 then the value of 45% is:

[tex]=\dfrac{45}{100}\times 75[/tex]

Step 4 - Simplify the above expression.

= 33.75

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/5777130

Convert 147%, percent to a fraction in simplest form.

Answers

Answer:147/100

Step-by-step explanation:Convert the percentage to a fraction by placing the expression over  

100

. Percentage means 'out of  

100

1  47/100

That would be the answer uwu

"A square is a rectangle with four congruent sides" (write this statement in each of the forms below)
O hypothesis
O conclusion
O conditional
O inverse
O Converse
O contrapositive
O and biconditional ​

Answers

Answer:here

Step-by-step explanation:

here is the key

7 1/8 convert into a decimal and put the steps

Answers

Answer:

Step 1: Multiply the whole number by the denominator: 7 × 8 = 56.

Step 2: Add the product you got in Step 1 to the numerator: 56 + 1 = 57.

Step 3: Divide the sum from Step 2 by the denominator: 57 ÷ 8 = 7.125.

Step-by-step explanation:

Answer:

7.125

Step-by-step explanation

Plzz help!!

Are the two triangles below similar?
(6 points)

1) No, because the corresponding sides are not proportional

2) Yes, because the corresponding sides are proportional

3) No, because there are not two pairs of congruent corresponding angles

4) Yes, because there are two pairs of congruent corresponding angles

Answers

Answer:

Step-by-step explanation:

Yes plzz give me brainliest

It is B your welcome !!!

What is the y-intercept of this graph?
A. 0
B. 2
C. 4
D. 8

Answers

Answer: 0

Step-by-step explanation:

The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).

Always remember that you read coordinates as (x,y) which..

X is how many spaces right or left

Y is how many spaces up or down.

Answer:

A. 0

Step-by-step explanation:

If you can look at the graph it crosses the y-axis exactly at the origin which is 0. This makes 0 the y-intercept because the line intercepts the y-axis at the point (0,0) making our solution A: 0

If you think my answer was helpful please make it the brainliest that would be much appreciated. Thanks! :D

What is the lenght of the shown below

Answers

Answer:

There is no picture shown below.

Step-by-step explanation:

Consider making another question, and actually putting the picture!

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5

Answers

Answer:

y=-x+2

Step-by-step explanation:

Can someone fill in the blanks please ?? 30 points

Answers

Step-by-step explanation:

[tex]2,4,5[/tex]

Is your answer

Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)

Answers

Answer:

There's no graph

Step-by-step explanation:

i don’t see the graph

I need help on this question

Answers

Answer : I’ll say it’s B.
If it’s wrong sorry. I tried.
The correct answer would be B. If you divide by three on triangle A’B’C’ you would get triangle ABC

-6 3/5 - (-7 4/15) + 2 /15

Answers

try using socratic the math app

find 6 rational numbers between 8 and 9​

Answers

Answer:

Step-by-step explanation:

8,1                              8,2

8,3                            8,4          

8,5                            8,6

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

The y intercept is -2, because that is the point where the line hits the vertical y intercept. The slope is - 1/4

Step-by-step explanation:

Answer:

slope = -1/4

y-intercept = -2

plz help asap.................................................

Answers

Answer:

There is no maximum. The minimum is (-1,-4). The shape is a parabola. Yes it is a function. It is continuous. The line of symmetry is x=1 I believe. The x intercepts are x=1 and x=-3. The y-intercept is y=3. It opens up

I am not sure about the rest.

1.- (A^2-6a+4)/(2a)
2.- (2b^2+b-8)/(2b)

Answers

Answer:

ok

Step-by-step explanation:

A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit

Answers

1.17 is the answer. Divide 4.78 by 4.

Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
a.
$39,805
b.
$35,526
c.
$37,576
d.
$43,276

Answers

Answer:

C

Step-by-step explanation:

took test

The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?

Answers

Answer:

The first term would be 18 ig, and then the common differnce would be 7.

Step-by-step explanation:

The rule to the sequence is that they are adding by 7 every term.

The answer to your question is 7
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