Which table represents a function?

Answer:

see below

Step-by-step explanation:

To find the conjugate of a+bi take the opposite of bi so it would be a - bi

7-3i, the conjugate is 7 + 3i

8+2i  the conjugate is 8 -2i

The product of a number and its conjugate is

(a+bi) (a-bi) = a^2 +abi-abi -b^2 i^2 = a^2 - b^2 (-1) = a^2 + b^2

( 4-i) ( 4+i) = 4^2 + 1^2 = 16+1 = 17

( 6+3i)(6-3i) = 6^2 + 3^2 = 36+9 = 45

#1

[tex]\\ \sf\longmapsto \overline{z}=7+3i[/tex]

#2

[tex]\\ \sf\longmapsto \overline{z}=8-2i[/tex]

#3

[tex]\boxed{\sf z\overline{z}=|z|^2}[/tex]

[tex]\\ \sf\longmapsto z=4-i[/tex]

[tex]\\ \sf\longmapsto |z|^2=4^2+(-1)^2[/tex]

[tex]\\ \sf\longmapsto 16+1=17[/tex]

#4

[tex]\\ \sf\longmapsto |z|^2[/tex]

[tex]\\ \sf\longmapsto 6^2+3^2[/tex]

[tex]\\ \sf\longmapsto 36+9[/tex]

[tex]\\ \sf\longmapsto 45[/tex]

Answer:

B. [tex] |2x + 1| + 1[/tex]

Step-by-step explanation:

[tex]( |2x + 1| + 3) - 2[/tex]

[tex] |2x + 1| + 3 - 2[/tex]

[tex] |2x + 1| + (3 - 2)[/tex]

[tex] = |2x + 1| + 1[/tex]

Answer:

A= 4.5 R= 2 E= 26 L = 91 W= 5 H= 3.8 T= 11 M= 999

Step-by-step explanation:

A.)

.5 x d. d= 9, so .5 x 9 is 4.5

R.)

1/5 x q. Q= 10 so 1/5 x 10 is 2

E.)

2(p+q). p=3 and q= 10, so first add 3+10=13 then × 2x13=26

L.)

100-d. d=9, so 100-9= 91

W.) 3q/2p q= 10 and p= 3, so 3×10= 30, and 2×3=6 , 30/6 can be simplified to 5 because 30÷6=5

H.)

3.8(q-d) q= 10 and d=9, 10-9=1 and 1×3.8= 3.8

T.)

p+q+d/2 , p= 3, q= 10, d=9, so 3+9+10=22, and 22/2 can be simplified to 11

M.)

q×q×q. Q= 10, and 10x10x10= 1,000, and 1,000-1= 999

Hope this helps, took me a long time lol have a good day/night!

Answer:

10

Step-by-step explanation:

d =√[(-3+9)²+(6+2)²]

= √(6²+8²)

=√(36+64)

=√100

= 10

Answer:

[tex]\boxed {\boxed {\sf d=10}}[/tex]

Step-by-step explanation:

The distance between two points can be calculated using the following formula.

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the two points. We are given the points (-9, -2) and (-3,6). If we match the value with the corresponding variable we see that:

Substitute the values into the formula.

[tex]d= \sqrt {(-3 - -9)^2 + (6 - -2)^2[/tex]

Solve inside the parentheses. Remember that 2 back to back negative signs become a plus sign.

[tex]d= \sqrt{ (6)^2 + (8)^2[/tex]

Solve the exponents. Multiply the number by itself.

[tex]d= \sqrt{(36)+(64)[/tex]

Add.

[tex]d= \sqrt{100[/tex]

Take the square root of the number.

[tex]d= 10[/tex]

The distance between the points (-9, -2) and (-3, 6) is 10.

Answer:

2/7

Step-by-step explanation:

Probability=number of names chosen/total number of names

p=2/7

Here in this question order is mentioned so we will use permutation.

and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.

In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =

[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.

So, the number of ways of selecting is 56.

Learn more about Permutations and Combinations here :

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Answer:

21.99cm

2pier

have a good day ❤️

Answer:

np=18

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 2 times 6 and 2 times 15

Answer:

60

Step-by-step explanation:

We can keep adding both numbers to itself until they have a similar multiple.

12, 24, 36, 48, 60

30, 60

Best of Luck!

Answer:

120 degrees and 145

Step-by-step explanation:

Straight line is 180 degrees so just subtract the angle you already know

Answer:

3-gallon jug of water for $10.92, is the better buy

Step-by-step explanation:

First let's do the 3 gallon jug -

We need to find the unit rate (The cost per gallon/quart)

$10.92 / 3 = $3.64

$8.64 / 8 = $1.08

1 Gallon = 4 Quarts, therefore the 3-gallon jug of water is the better buy.

Answer:

Step-by-step explanation:

The revenue function is given to you, it's just not given in equation form. In equation form, the function is

R(p) = p(120 - 4p)

If we are looking for the number of tickets that causes the revenue to be $0, we replace R(p) with 0 and solve for p.

0 = p(120 - 4p). That means, by the Zero Product Property, that

p = 0 or 120 - 4p = 0 which gives us, when we solve each one of those equations, that

p = 0 or

120 = 4p and

p = 30. The reasoning is the bold statement up above.

The equation we would use to determine the number of tickets needed to sell for the revenue to be $600 will be

600 = p(120 - 4p)

Answer:

Perimeter is 16x - 10

Step-by-step explanation:

[tex]{ \sf{perimeter = 2(length + width)}} \\ p = 2 \{(5x - 7) + (3x + 2) \} \\ p = 2(8x - 5) \\ p = 16x - 10[/tex]

[tex]i \hookrightarrow \mathrm{AnsweR} \hookleftarrow i[/tex]

First option is the most suitable option, which says that a reflection of triangle A is made across the y - axis and then it is dragged down .

Answer:a reflection across the y-axis and then a reflection across the x-axis

Step-by-step explanation:

I'd go for c , x is greater than -3

Answer:

14810 votes

Step-by-step explanation:

The canidate won, so that means that they were the 7 instead of the 5.

Then you divide 20734 by 7, to see how many votes were for each "1". That's 2962.

Now you know that every "1" is worth 2962. Since the other candidate got 5, you multiply 5 by 2962 which is 14810.

The other candidate got 14810 votes.

Hope that made sense

Answer:

The other opponent that lost got 14 810 votes.

Step-by-step explanation:

Hopefully the picture is clear and understandable

:)

Answer:

The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown.

The coordinates of L' in the image are  

✔ (–1, 2)

.

The coordinates of M' in the image are  

✔ (1, 2)

.

The length, L'M', is  

✔ 2

.

The slope of the original segment and dilated segment are  

✔ both zero

.

Step-by-step explanation:

The question is incomplete. The complete question is:

On a coordinate plane, a line is drawn from point L to point M. Point L is at (negative 4, 8) and point M is at (4, 8). The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown. The coordinates of L' in the image are ??. The coordinates of M' in the image are ??. The length, L'M', is ??. The slope of the original segment and dilated segment are ??.

The coordinates of L' in the image are (-1, 2). The coordinates of M' in the image are (1, 2). The length, L'M', is 2. The slope of the original segment and dilated segment are both zero.

The dilation of a segment to its image is the following of a given rule for every point on the segment to create an image.

We are given a line segment LM, with coordinates of L being (-4, 8) and that of M being (4, 8).

We are given a rule  [tex]D_{O, 0.25} (x,y) \rightarrow (0.25x,0.25y)[/tex] which implies that every point on the line segment LM (x, y) is dilated to the point on the image L'M' as (0.25x, 0.25y).

The coordinates of L' in the image = (0.25*(-4), 0.25*8) = (-1, 2).

The coordinates of M' in the image = (0.25*(4), 0.25*8) = (1, 2).

The length of L'M' can be calculated using the distance formula between the points L' and M'.

Length = √((2 - 2)² + (1 - (-1))²) = √(0² + 2²) = √4 =  2 units.

∴ The length of L'M' = 2 units.

The slope of both LM and L'M' is 0, as they both are parallel to the x-axis and don't intersect with it.

∴ The coordinates of L' in the image are (-1, 2). The coordinates of M' in the image are (1, 2). The length, L'M', is 2. The slope of the original segment and dilated segment are both zero.

Learn more about the dilation of a segment to its image at

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1. 6 + 3 x B = -18

2. -3 + 5 x X = 12

3. 7 x n + 12 = -23

4. x/6 - 3 = 8

Im not the best with these kinds of problems but I tried mt best

Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = [tex]\sqrt{(-3-(-9))^2+(-1-8)^2}[/tex]

  = [tex]\sqrt{(-3+9)^2+(-9)^2}[/tex]

  = [tex]\sqrt{6^2+81}[/tex]

   = [tex]\sqrt{36+81}[/tex]

   = [tex]\sqrt{117}[/tex]

   = [tex]\sqrt{9(13)}[/tex]

   = [tex]\sqrt{9}[/tex] × [tex]\sqrt{13}[/tex]

   = 3[tex]\sqrt{13}[/tex]

Answer:

38.5976° N, 80.4549° W

Step-by-step explanation:

The West Virginia coordinates are 38.5976° N Latitude, and 80.4549° W Longitude.

Answer:

38.5976° N, 80.4549° W

Step-by-step explanation:

Longitude: 80.4549° W

Latitude: 38.5976° N

4n×16=16384. 4n=16384÷16=1024. n=1024÷4=256. n=256

Answer:

3% of 400 is equal to 12

Step-by-step explanation:

Solving these kinds of problems is actually quite simple. For this one you would simply multiply 0.03 by 400 because 0.03 is the decimal form of 3%.

Hope that helps!

d. 65,600

so you multiple 8,200 by 2 and you get 16,400, so now u need to find out how many times the amount doubles in 28 years so u divide 28 by 7 and get 4 times, so then u multiple 16,400 4 times which is 65600,

Answer:

I Think The Answer Is 22 Feet???

Step-by-step explanation:

11. Angle A and B are supplementary (add to 180)

And measure of Angle A is 2x+30 and measure of angle B is 6x-12. All you have to do is make an algebraic expression.

180= (2x+30) + (6x-12)

Then just combine like terms and you get

8x+18=180.. Subtract 18 and you get

8x=162 then divide by 8 and you get

X=20.25

Then plug in the number and you get

180=(2*20.25+30)+(6×20.25-12)

Which is is transferred to

180=(70.5) +(109.5)

Which is 180=180.

The measure of angleA is 70.5°

You can try the other's if you want if not then

9. Value of x is 33.5

10. Measure of angleB 90°

12. Measure of angleA 24°

(im not writing that much again.)

Answer:

[tex]1kilo \: sec = {10}^{3} sec \\ 1milli \: sec = {10}^{ - 3} sec \\ so \: 1 \: kilo \: sec = {10}^{6} \\ thank \: you[/tex]

Answer:

The answer is 1000000

.Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

-2 × 2 × 2 = -8

2 × 2× 2 = 8

-8 × 8 = -64