What is the value of the product (3 – 2i)(3 + 2i)? 5 9 + 4i 9 – 4i 13

Answer:

z = 80°

Step-by-step explanation:

The sum of the interior angles would equal to 360°

100° + 60° + 120° = 280°

360° - 280° = 80°

Answer:

z = 80

Step-by-step explanation:

A quadrilateral has angles that sum to 360°

E + C + G + F = 360

100 + 60 + 120 + F = 360

Combine like terms

280 + F = 360

F = 360 - 280

F = 80

We know that ABCD is similar to FECG

This means that the measure of A = measure of F

z = 80

Answer:

42.25 inches²

Step-by-step explanation:

Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².

Where, s = side length of square

Area of 1 tile = 6.5² = 42.25 square inches.

One tile covers 42.25 square inches.

Answer:

what do you need help with i dont see the question

Step-by-step explanation:

Answer: 40

Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.

Perimeter of a square garden is 40.

Here,

A square garden has an area of 100 square feet.

We have to find the perimeter of the square garden.

What is Perimeter of square?

Sum of all four sides of a square is known as Perimeter of a square.

Now,

Let side of a square garden is a.

Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]

[tex]a^{2} = 100[/tex]

[tex]a = 10[/tex]

Hence, Perimeter of a square garden = 10 + 10 + 10 + 10

                                                          = 40

So, Perimeter of a square garden is 40.

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Answer:

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

Answer:

2.09

Step-by-step explanation:

Because:

2.3=2.30

2.9=2.90

and 2.93 is just bigger

therefore your answer is 2.09

Answer:

2.09

Step-by-step explanation:

2.93 > 2.9 > 2.3 > 2.16 > 2.09

2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.

Answer:

no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.

Answer: It all depends on your preference

Step-by-step explanation:

Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.

Answer:

[tex]Distance = 1572\ feet[/tex]

Step-by-step explanation:

Given

Courthouse = 1068 feet

Gallery = 0.5 mile ----- Missing Part of Question

What the question implies is to

determine the distance between these two locations

This is done as follows:

[tex]Distance = |Courthouse - Gallery|[/tex]

Substitute values for Courthouse and Gallery

[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]

Convert 0.5 mile to feet (1 mile = 5280 feet)

[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]

[tex]Distance = |1068\ feet - 2640\ feet|[/tex]

[tex]Distance = |-1572\ feet|[/tex]

[tex]Distance = 1572\ feet[/tex]

Hence, the required distance is 1572 feet

Answer:

p = -7/3 and q = -6

Step-by-step explanation:

3p-2q=5

Substitute q-1 for 3p

q-1-2q=5

-q-1=5

q=-5-1=-6

Substitute the value of q = -6 in q-1=3p

-6-1=3p

3p=-7

p = -7/3

Answer:

x=28/9 t- 3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Answer:

Wrong

Step-by-step explanation:

You must be more specfic about how many 1000's

Answer:

u=-8

Step-by-step explanation:

-4u+3=4u-5

-4u-4u=-5-3

*Divide U by  four and we are left with U. Add -5+-3 = -8

u=-8

Answer:

-x + 6y.

Step-by-step explanation:

-(x - 6y)

= -1*x -1*-6y

= -x + 6y

Answer:

3.99 10-6

Step-by-step explanation:

This is simply the answer because if you multiply them all out this equation is the smallest number

Answer:

3.99*10^-6

Step-by-step explanation:

Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.

Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}

Step-by-step explanation:

We have that the set A is the set of all the integers equal to or smaller than 5.

To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:

A = {...

Which means that it continues in that direction.

Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.

A = {..., -1, 0, 1, 2, 3, 4, 5}

And that is the set A in written with the Roster Method

Answer:

p (13 - 4 p)

Step-by-step explanation:

Simplify the following:

2 p (p + 2) - 3 p (2 p - 3)

Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).

Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):

p (2 (p + 2) - 3 (2 p - 3))

Hint: | Distribute 2 over p + 2.

2 (p + 2) = 2 p + 4:

p (2 p + 4 - 3 (2 p - 3))

Hint: | Distribute -3 over 2 p - 3.

-3 (2 p - 3) = 9 - 6 p:

p (2 p + 9 - 6 p + 4)

Hint: | Group like terms in 2 p - 6 p + 4 + 9.

Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):

p (4 + 9) + (2 p - 6 p)

Hint: | Combine like terms in 2 p - 6 p.

2 p - 6 p = -4 p:

p (-4 p + (4 + 9))

Hint: | Evaluate 4 + 9.

4 + 9 = 13:

Answer: p (13 - 4 p)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]

Step-by-step explanation:

Given,

A ( -2 , 4 )⇒ ( x₁ , y₁ )

C ( 3 , - 3 )⇒ ( x₂ , y₂ )

Finding the midpoint between A and C

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]

[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]

Hope I helped!

Best regards! :D

The ratio is 3:4:5.

Cosine by definition, is adjacent divided by hypotenuse, meaning that the value of the hypotenuse is 5. Then, we are given two other sides that are adjacent to angles A and B, which are 4 and 3 respectively.

This means that there are side lengths 3, 4, and 5, meaning that the ratio of the sides are 3:4:5.

Hope this helps.

頑張って!

Answer:

see explanation

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 4, y + 2 )

This means subtract 4 from the original x- coordinate and add 2 to the original y- coordinate, that is

a point (4 , - 4 ) → (4 - 4, - 4 + 2 ) → (0, - 2 )

The resulting graph would result in moving input x by --4  horizontally and Output y by +2 vertically.

Translations are defined by saying how much a point is moved to the left/right and up/down. Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

Given the point  (x - 4, y + 2), we can clearly observe that the graph would move vertically by +2 units while the input will be in the -ve x-axis direction from right to left and thus will move negatively by -4.

Hence, The resulting graph would result in moving input x by --4  horizontally and Output y by +2 vertically.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,-3) and (4,-7)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

= 0.2496 /2000

= 0.0001248

Therefore the Variance of the population proportion is approximately = 0.00012

Answer:

X=21/4, or in simplest form 5.25

Step-by-step explanation:

The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.

====================================================

Explanation:

When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes

[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]

while the right hand side turns into

[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]

This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying  "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.

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

The equation is only sometimes true for the x values 0, 1 and -1

Let's try x = 0

[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]

we get a true statement confirming x = 0 as a solution

Trying x = 1 leads to

[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]

also true. A similar situation happens with x = -1 as well, just that we have negatives this time.

Answer:

Step-by-step explanation:

7 more than the product of 8 times 9

product of 8 times 9 = 8 × 9 = 72

7 more than the product of 8 times 9 = 72 + 7 = 79

Hope this helps

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Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3

Answer:

6x - 3 = 3(x + 2)

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

Which of the following employees has the greatest total employee compensation?

a. ))   Employee A: total job benefits $68,100 and total job expenses $100

b. ))   Employee B: total job benefits $68,400 and total job expenses $300  {{{   CORRECT  }}}

c. ))   Employee C: total job benefits $68,700 and total job expenses $800

d. ))   Employee D: total job benefits $69,000 and total job expenses $1,000

Step-by-step explanation:

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