A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.

Answer:

3

Step-by-step explanation:

RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{255}{360}[/tex]

   = π × 4² × [tex]\frac{17}{24}[/tex]

   = 16π × [tex]\frac{17}{24}[/tex]

   = [tex]\frac{16\pi (17)}{24}[/tex]

   = [tex]\frac{272\pi }{24}[/tex]

   = [tex]\frac{34\pi }{3}[/tex] mi² → C

Answer:

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Answer:

jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr

Answer:

m<O = 134°

Step-by-step explanation:

OC = OB = radius of the circle

AC = AB = tangents of circle O

m<C = m<B = 90°. (Tangent and a radius always form 90°)

m<A = 46°

Therefore,

m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.

m<O = 360° - (90° + 90° + 46°)

m<O = 360° - 226°

m<O = 134°.

Measure of angle A = 134°

Answer:

x=9

Step-by-step explanation:

<B = <E  from the concurrency statement

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

Hey there!

These are similar triangles, and similar triangles have congruent angles.

Thus, we have 5x=45

Simplifying, we have x=9

Let me know if this helps :)

Answer:

4

Step-by-step explanation:

The answer is 4

Answer:

4

Step-by-step explanation:

4

Answer:

40

Step-by-step explanation:

Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)

< WVT = 1/2 ( WT - UW)

3x+4    = 1/2 (( 14x +7) - (7x+11))

Distribute

3x+4    = 1/2 ( 14x +7 - 7x-11)

Combine like terms

3x+4    = 1/2 ( 7x -4 )

Multiply each side by 2

6x +8 = 7x-4

Subtract 6x from each side

+8 = x-4

Add 4 to each side

12 =x

WVT = 3x+4

        = 3*12 +4

       = 36+4

       = 40

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

Answer:

She swam 2 kilometers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets Price of a DVD is fixed i.e. 15

and One CD price is 5 (Not fixed)

In First situation

2 DVDs and 1 CD cost = 35 as given

2 x 15 + 5 = 35

Lets one CD price is 7.5

In Second situation

2 x 15 + 2 x 7.5 = 45

Its mean CD price may be between 5 to 7.5

In asked scenario, Martin has 50

1 DVD and 3 CDs?

1 x 15 + 3 x 7.5 = 37.5

37.5 is lesser than 50

Hence Martin has enough to buy 1 DVD and 3 CDs.

Answer: your answer should be 10.5130

Step-by-step explanation:

Answer:

Ok, we have the function:

y = 2gb*x + 3gb

Where x is the number of streams that you did.

You know that for this function, in a math view, the domain and the range are the set of all real numbers.

(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)

But in a "real situation", there are some other restrictions:

Restrictions for x:

You can never have a negative value for x (because this has no sense)

So the first restriction is x ≥ 0.

Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.

Then the domain is:

0 ≤ x ≤ A.

Now, the minimum of the range is defined by the minimum in the domain:

When x = 0, we have:

y = 2*0 + 3gb

So the minimum value in the range is 3gb.

y ≥ 3gb

And then the maximum value of the range will be when x = A

y = 2Gb*A + 3Gb

3Gb ≤ y ≤ 2Gb*A + 3Gb

Answer:  0.82

Step-by-step explanation:

Given : P(own skateboard) =0.37

P( own bicycle) =0.81

P(own skateboard and bicycle) = 0.36

Since, P(A or B) =P(A)+P(B)-P(A and B)

So, P(own skateboard or  bicycle) = P(own skateboard) + P( own bicycle)-P(own skateboard and bicycle)

= 0.37 + 0.81 -  0.36

= 0.82

Hence, the probability that the teenager owns a skateboard or a bicycle is  0.82.

Answer:

Step-by-step explanation:

9 = m/3 + 4

5 = m/3

m = 15

Answer: m=15

Step-by-step explanation:

[tex]9=\frac{m}{3}+4[/tex]

subtract 4 on both sides

[tex]\frac{m}{3}+4-4=9-4[/tex]

[tex]\frac{m}{3}=5[/tex]

multiply 3 on both sides

[tex]\frac{3m}{3}=5\cdot \:3[/tex]

[tex]m=15[/tex]

X - 3/8 = 13/2

Add 3/8 to both sides:

X = 13/2 + 3/8

Rewrite 13/2 to have 8 as the denominator:

13/2 x 4 = 52/8

X = 52/8 + 3/8

X = 55/8

Answer:

55/8

Step-by-step explanation:

Add 3/8 to both sides

X - 3/8 = 13/2

X = 13/2 + 3/8

make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8

X = 52/8+3/8

X= 55/8

Answer:

$22

Step-by-step explanation:

Beth=$5.00 for 2 rounds

Zane=$12 for 5 rounds

Tina=$x for 9 rounds

Find x

9 rounds=5 rounds + 2 rounds + 2 rounds

5 rounds costs =$12

2 rounds costs=$5

2 rounds costs=$5

Then,

5 rounds + 2 rounds + 2 rounds= $12 + $5 + $5

9 rounds=$22

It will cost Tina $22 to go on 9 rounds

Answer:

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Answer:

x = 126.9° , x = 306.9°

Step-by-step explanation:

Given

3tanx = - 4 ( divide both sides by 3

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

Since tanx < 0 then x is in 2nd / 4th quadrants

x = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53.1° ← related acute angle

Then

x = 180° - 53.1° = 126.9°

x = 360° - 53.1° = 306.9°

Step-by-step explanation:

c

15

five three times is equal to fifteen

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

Answer:

1) A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Answer two questions about Equations A and B:  

1) How can we get Equation B from Equation A?

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?  

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

1) As we see left sides of the equations are different but right sides are same.

To make them equal we need to remove the difference.

We need to add 2 to the left side of equation A to get Equation B.

The answer choice for this case is:

2) Since the equations are not same, they will have different solutions.

Answer choice is:

Equivalent equations are equations that have the same value.

The equations are given as:

[tex]A:\ 5x-2+x = x-4[/tex]

[tex]B: 5x+x = x-4[/tex]

(a) How to get equation (B) from (A)

By comparing equations (A) and (B), we have the following observations

This means that, only the left-hand side of equation A will be altered to get equation B.

Hence, the solution is:

A. Add/subtract a quantity to/from only one side

(b) Are they equivalent?

No, they are not.

This is so, because only one side of equation A is altered to get equation B.

Read more about equivalent equations at:

https://brainly.com/question/10541844

Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

Hey there!

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

Hope this helps :)

For example:

-3.5

-3.0040012

-3.(91)

-3.70(77)

-15/4

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

To Find : value of (x³ - y³)

Since, [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

[tex]\frac{x^2+y^2}{xy}=-1[/tex]

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

Answer:  π

Step-by-step explanation:

The standard form of a secant equation is: y = A sec(Bx - C) + D   where

Given: F(x) = 2 sec(2x + 3)

                               ↓

                             B=2

Period = 2π/B

           = 2π/2

           = π

Answer:

x=2*root(41) or x=root(164)

Step-by-step explanation:

By using Pythagoras theorem, we have 8^2+10^2=x^2. 164=x^2, x=2*root(41)

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  Hi my lil bunny!

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Factor [tex]x^3 - 6x^2 + 11x - 6[/tex]

[tex]x^3 - 6x^2 + 11x - 6[/tex]

= [tex]( x - 1) ( x - 2) ( x - 3)[/tex]

So you would be : [tex]( x - 1) ( x - 2) ( x - 3)[/tex]

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

3x -1 =27

3x=28

x=28/3

answer is option 3

[tex]\\ \sf\longmapsto 3x-1=27[/tex]

[tex]\\ \sf\longmapsto 3x=27+1[/tex]

[tex]\\ \sf\longmapsto 3x=28[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28}{3}[/tex]