Explain why the following statements are equivalent: x + (y + 9) = (x + y) + 9

Answer:

Option (B)

Step-by-step explanation:

If we graph the points given in the table, a straight line is obtained which shows that the table given represents a linear function.

Let the two points on the graph are (4, 31) and (8, 37)

Slope of the line passing through these points,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{37-31}{8-4}[/tex]

   = 1.5

Equation of the line passing through a point (4, 31) and slope = 1.5 will be,

y - y' = m(x - x')

y - 31 = 1.5(x - 4)

y = 1.5x - 6 + 31

y = 1.5x + 25

Therefore, Option (B) will be the answer.

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

Answer:

5:25

Step-by-step explanation:

Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.

6:09 is the same as 5:69.

6:09 = 5:69

Now subtract 44 minutes from 69 minutes.

5:69 = 0:44 = 5:25

Answer: 5:25

Answer:

5:25

Step-by-step explanation:

Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.

6:09 is the same as 5:69.

6:09 = 5:69

Now subtract 44 minutes from 69 minutes.

5:69 = 0:44 = 5:25

Answer: 5:25

Answer:

neither

Step-by-step explanation:

Answer:

B) 2

Step-by-step explanation:

a3 = 7 , d = -5 (GIVEN)

a4 = a3 + d

= 7 + (-5)

= 7 - 5

a4 = 2

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Answer:

[tex]\Huge \boxed{a_4=2}[/tex]

Step-by-step explanation:

The third term in an arithmetic sequence is 7.

The common difference is -5.

The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.

[tex]d=a_4-a_3[/tex]

Solving for the fourth term.

[tex]a_4 = a_3 + d[/tex]

Plugging in the values and evaluating.

[tex]a_4=7+-5[/tex]

[tex]a_4=2[/tex]

The value of the fourth term is 2.

Resposta: 30

Explicação passo a passo:

Dado o seguinte:

Preço para atingir a meta = $ 20

Penalidade por falta de alvo = $ 10

Se 80 tiros forem disparados e os participantes receberem $ 100.

Número de vezes que o participante atinge o alvo.

Deixe o número de erros = m

Deixe o número de acertos = h

h + m = 80 - - - - (1)

20h - 10m = 100 - - - (2)

h = 80 - m

Substitua h = 80 - m em (2)

20 (80 - m) - 10m = 100

1600 - 20m - 10m = 100

-30m = 100 - 1600

-30m = - 1500

m = 50

De (h = 80 - m)

h = 80 - 50

h = 30

Número de acertos = 30

O participante acerta o alvo 30 vezes

Answer:

[tex]\Huge \boxed{12x^2 +16x-3}[/tex]

Step-by-step explanation:

[tex](6x - 1)(2x +3)[/tex]

Expand brackets using the FOIL method.

[tex]6x(2x +3)-1(2x+3)[/tex]

[tex]12x^2 +18x-2x-3[/tex]

Combine like terms.

[tex]12x^2 +16x-3[/tex]

Answer:  12[tex]x^{2}[/tex] +16x -3

Step-by-step explanation:

Multiply the numbers by applying the distributive property twice.  

2x(6x -1)  =   12x^2  - 2x  

3( 6x -1) =     18x - 3  

Now put them together.

12[tex]x^{2}[/tex]- 2x + 18x -3        Combine likes terms

12[tex]x^{2}[/tex]  +16x - 3

Answer:

uttar pradesh

Step-by-step explanation:

see map

Answer:

S.No. State/ UT Wheat (Th. tonnes)

1 Uttar Pradesh    26,874

2 Madhya Pradesh    17,689

3 Punjab                 16,081

4 Haryana                 11,352

5 Rajasthan         9,871

6 Bihar                 4,753

7 Gujarat                 2,484

8 West Bengal         960

9 Uttarakhand         761

10 Maharashtra         758

Step-by-step explanation:

Refer this link for map!

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Answer:

Hey there!

7(3x-1)-(x+5)=-52

21x-7-x-5=-52

20x-12=-52

20x=-40

x=-2

Answer:

14.765 units

Step-by-step explanation:

distance formula

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(4 + 3)² + (8 + 5)²]

d = √(7²) + (13²)

d = √(49 + 169)

d = √218

d = 14.765

Answer:

99.4%

Step-by-step explanation: 2500 - 15 = 2485

2485/2500 = 0.994 x 100 = 99.4%

Answer:

99.4%

Step-by-step explanation:

Total number of people tested = 2500

People who had allergic reaction = 15

People who didn't have allergic reaction = 2500 - 15 = 2485

Percentage = Part of a whole / The whole

=> 2485 / 2500

=> 497 / 500

=> .994

To convert a decimal into percent:

=> We need to make the decimal point move 2 times to the right

=> .994

=> 99.4%

So, 99.4% of the people who were tested, didn't have an allergic reaction.

Answer:

26cm²

Step-by-step explanation:

Parallelogram: 4x5=20

Triangle: 1/2(3)(4)=6

Total = 20+6=26cm²

Answer:

17

Step-by-step explanation:

Simplify:

[tex]12\frac{1}{2} = \frac{25}{2}[/tex]  

[tex]-4\frac{1}{2} = \frac{-9}{2}[/tex]

[tex]\frac{25}{2} - (\frac{-9}{2} ) = \frac{25}{2} + \frac{9}{2} = \frac{34}{2} = 17[/tex]

When you have a subtraction sign next to a negative number, the negative number will turn positive since it's understood as -1 multiplied by the number when it's a negative number.  

Answer:

(3x+12)-10

Step-by-step explanation:

Answer:

13.26

Step-by-step explanation:

The computation of the height should be computed by using the Pythagoras theorem

As we know that

Hypothenuse^2 = base^2 + height^2

where,

Hypothenuse is 15 foot

And, the foot of the ladder i.e base is 7

So now placing these values

The height is

15^2 = 7^2 + height^2

225= 49 + height^2

After solving this, the height is 13.26

Answer:

1.625

Step-by-step explanation:

So you have to convert the 5/8ths into something that can go into 10.

So 100/8 is equivalent to 12.5. But you'll have to make that into decimal form, so move that 2 places to the right, to get 0.125. 0.125 times 5 is 0.625. And 1 is just 1 as a whole number. 1 plus 0.625 is 1.625.

The decimal form of the given number [tex]1\frac{5}{8}[/tex] is 1.625

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Given is a fractional number  [tex]1\frac{5}{8}[/tex], we need to find the decimal form of it,

Converting  [tex]1\frac{5}{8}[/tex] into fraction,

[tex]1\frac{5}{8}[/tex] = 13/8

When we divide 13 by 8, we will get 1.625

Hence, the decimal form of the [tex]1\frac{5}{8}[/tex] is 1.625

Learn more about decimal form, click;

https://brainly.com/question/20130583

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Answer: p = 1/6.

Step-by-step explanation:

First, we have two fair dice, so we have two events.

The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.

C = 6*6 = 36.

Now, the combinations that have a sum larger than 10 are:

4 and 6.

6 and 4

5 and 5

5 and 6

6 and 5

6 and 6.

So we have 6 outcomes where the sum of both numbers is larger than 10.

Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:

P = 6/36 = 1/6.

Answer: 42 gallons

Step-by-step explanation:

given data:

average gas mileage/day = 29miles/gallon

distance travelled each day by James = 87miles

How much gas does he use in 14days drive.

solution:

james drives 87miles daily, so in 14 days he would have travelled

= 87miles * 14

= 1218miles travelled.

gas used in 14days

1218miles distance traveled in 14 days

29miles/gallon

= 1218miles / 29miles

= 42gallons of gas have been used by janew to fuel his truck in 14days.

Answer:

[tex]b-17[/tex]

Step-by-step explanation:

So, Tanvi started with b buttons.

And she gave away 17.

Since she "gave away," this means that we should use subtraction.

Therefore, she now has b-17 buttons.

Our expression is:

[tex]b-17[/tex]

Here, a,c and d are not true because,

a) all integers are not rational numbers because 2/10 is a rational number but not an integer.

c) all whole numbers are not natural numbers because 0 is not a natural number.

d) all irrational numbers are not real numbers because root2 is not a real number.

b) it is true.

Hope it was helpful,

pls mark this as a brainliest answer.

thank you.

^_^

Statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know,

The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

Thus, statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.

Learn more about the number here:

brainly.com/question/17429689

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Answer:

-2x +18 or 18 - 2x

Step-by-step explanation:

You have 3x and you have -5x so take 5 away from 3 to get -2x

Then you have +8 and +10 so add them together and you get an answer of 18

Put the two answers from the equation together and you have got 18-2x

Hope this helps :)

Start by changing the problem to 3x + 8 + -5x + 10.

Combine like terms → your numbers and your "x" terms.

So 3x + -5x is -2x and 8 + 10 is 18.

So the answer is -2x + 18.

Answer:

The answer is "Option A, D, and E".

Step-by-step explanation:

The choices were missing in the question. so, very first, we defined the choices and then we explain why it will be correct.

Missing data:

[tex]A) \ 2x+y=-5 \\B) \ y-3=2x \\C) \ x+y=-2 \\D) \ -2x=y \\E) \ 2x=4-y\\[/tex]

Solve the above value in the form of "[tex]\bold{ y = mx + c}[/tex]", where m= gradient and c= line that cuts on the y-axis.

[tex]A) 2x + y = -5\\\\D) -2x = y\\\\E) 2x = 4- y\\\\[/tex]

Answer:

A,D,E

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

The definition of a function is that every output (x) has only one input (y).

Here -3 gives two different outputs which contradicts the definition of a function.

Answer:

-4

Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol

Answer:

-4

Step-by-step explanation:

its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.

Hoped i explained that good enough.

Answer:

6837 cm is less than 68 hm

Step-by-step explanation:

1 hectometres  = 100 meters

1 centimetres = 0.01 meters

Therefore;

6837 centimetres = 6837 × 0.01 meters = 68.37 meter

6837 centimetres = 68.37 meter

Also, we have;

68 hectometres  = 68 × 100 meters = 6800 meters

68 hectometres  = 6800 meters

Therefore,

6837 centimetres = 68.37 meter < 68 hectometres  = 6800 meters

6837 centimetres < 68 hectometres  

6837 cm < 68 hm

6837 cm is less than 68 hm.

Answer:

[tex]\huge\boxed{3x-3}[/tex]

Step-by-step explanation:

[tex]3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}[/tex]

The distributive property is a very important property used in algebra.

It states that when we have the statement a(b + c), we can "distribute" the

a by multiplying a times both terms that are inside the parenthses.

So that would give us a(b) + b(c) or ab + bc.

The same process is done here.

Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.

Answer:

x=12°, ∡B=48°

Step-by-step explanation:

∡A=∡B

5x-12=2x+24

5x-2x=24+12

3x=36

x=12°

∡B=2*12+24°=48°

Answer:

AB = 10.6 cm

Step-by-step explanation:

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?

A. AB = 12.3 cm

B. AB = 10.6 cm

C. M angle C=55 degrees

D. M angle C=80 degrees

Answer:

If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.

Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.

Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.

AB = GH

AB = 10.6 cm

m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)

m∠F + 80 + 55 = 180

m∠F + 135 = 180

m∠F = 180 - 135 = 45

m∠F = 45°

m∠F = m∠C

m∠C = 45°

Answer:

its B

Step-by-step explanation: