___1.which of the following illustrate the union of two sets
___2.which of the following represent the intersection of two sets
___3.which of the following is the factored form x³ + 4x²+4x+16​

(-3^3+2 · -2^2)^2-4^4

(-27+2 · -4)^2-4^4

(-27+(-8))^2-4^4

-35^2-4^4

1225-256

969

Usually negative numbers are in parentheses so people don't think that it is subtraction.

The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.

When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.

In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.

For example:

(-3) means negative three, which is the same as 3 but with a negative sign.

-(5 + 2) means the negative of the sum of 5 and 2, which is -7.

-x means the negative of the variable x.

In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.

Learn more about Parentheses here:

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[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

Answer:

2k

Step-by-step explanation:

Because all the values in our equation have the same variable, k, we can simply combine them.

We can begin with the first part of the equation:

2k - 3k

As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :

-1k, or -k

Now, we add on our other part of the equation:

-1k + 3k

We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:

2k

Hope this helps :)

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

Answer:

so whats the questiob

Step-by-step explanation:

Answer:

so for kira, in a year shes is going to have 1290$ in a year and 645$ in six.

for aldo, hes going to have 1344$ in. ayear and  672$ in 6 months.

aldo has more money per month even tho kira had that starting 270$

Step-by-step explanation:

hope this helps you :)

Step-by-step explanation:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Answer:

Distance travelled by skateboard is 1.5 miles.

Displacement is 1 mile.

Answer:

30.7

Step-by-step explanation:

How much farther is Neptune from the Sun than Mars?

---Neptune is 30.7 astronomical unit(s) farther from the sun

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Answer: angle l

Step-by-step explanation:

Answer:

the answer would be:

g(X)

and

m(X)

Step-by-step explanation:

make me as Brainliest sorry if I am wrong

Answer:

-5/4

Step-by-step explanation:

.......................

     The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (-8 - (- 3)) ÷ (-2 - (-6))    

                                          =   - ⁵/₄

Checking my answer:  

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-3) =  - ⁵/₄(x - (-6))

                                        y + 3 =  - ⁵/₄ (x + 6)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.

Step-by-step explanation:

Answer:

An average resulting from the multiplication of each component by a factor reflecting it's importance.

Step-by-step explanation:

Assuming only one is selectable. Only possible answer doesn't need much explanation I believe.

Answer:

Exact Form: -⅚

Decimal Form: -0.83 repeating

Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Answer:

Step-by-step explanation:

1. p║ q

50+130 = 180

If the same side interior angles are supplementary angles then the lines are parallel.

2. p║ q

70 = 70

If the corresponding angles are congruent the lines are parallels.

4. p║ q

x = x

If alternating exterior angles are congruent then the lines are parallel.

5. we do not know if p is parallel with q

We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.

7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.

3x= 45 , divide both sides by 3

x= 15

For x = 15 the p║ q

8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.

2x+10 = 120, subtract 10 from both sides

2x = 110, divide both sides by 2

x = 55

For x = 55 the p║ q

Answer:

92%

Step-by-step explanation:

The part that is fiction over the total is the fraction that is fiction

4600/5000 = 23/25

Change this to a percent

23/25 * 4/4

92/100

92%

There is no image, and without the image, no answer.

Answer:

The width is: 11

The length is: 2

Step-by-step explanation:

The width is 5 feet longer than 3 times the length so

If the length is 2: 2 x 3 times = 6 plus the five = 11

The area of a rectangle is a = the width x the lenght

So 2 x 11 = 22 that is the area.

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x² = 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x² = -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

Answer:

1350min

Step-by-step explanation:

(600÷40)×3=45min for one item

45×30=1320 min for 30 items

Answer:

-i

Step-by-step explanation:

[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

Answer:

106 weeks

9 weeks

9 weeks

9 tires

Step-by-step explanation:

1 (322-4)÷3=106

She nees to save for 106 weeks

2 (32+3)÷4=8.75

She need to save 9 weeks becouse complite decimal

3 (32+4)÷3=9

she need to save for 9 weeks

4.(32-4)÷3=9.33

she can order 9 tires

Answer:

SAS

Step-by-step explanation:

The included angle is similar and they have corresponding sides.

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

Answer:

the range is the set of possible output of values

Step-by-step explanation:

The range is the set of y-values (OUTPUT) that map to the set of x-values (INPUT).

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[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve ~

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

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