MATHEMATICS HIGH SCHOOL

3(x + 4) = 18 (Given)3x + 12 = 18 (Distributive Property)
3x = 6 (Subtraction)
x = 2
Give a reason for the last step in the argument shown.
A)
addition
B)
division
C)
subtraction
D)
multiplication

Answers

Answer 1
Answer:

Answer: The correct answer is B) division.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

3(x + 4) = 18 (Given)  

3x + 12 = 18 (Distributive Property)  

3x = 6 (Subtraction)  

x = 2

To obtain the result, in the last step we have to divide both sides by 3.

Mathematically speaking:

3x÷3 = 6÷3

x =2

So, the correct answer is B) division.

Feel free to ask for more if it´s necessary or if you did not understand something.
Answer 2
Answer: the answer is division because u divide 3 from both side of the equation so that make the answer B

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Help please this I'd for geometry

Answers

The distance is (1/4)*20 = 5.

What is the sum of square root of -2 and square root of -18?

Answers

Answer:

4 Square root 2i

Step-by-step explanation:

if you're ed then this the answer I hope this helps
√-2 + √-18

√-2 = √(-1*2) =  √-1 * √2 = i√2    Recall square root of -1 = i

√-18 = √(-1*18) =  √-1 * √1`8 = i√18    Recall square root of -1 = i

But √18 = √(9*2) = √9 * √2= 3√2

√-18 = i√18= i(3√2) = 3i√2


√-2 + √-18 = i√2 + 3i√2 = (i + 3i)√2 = 4i√2


So the sum is 4i√2,      where i = √-1

Hope this explains it.

To the nearest tenth, what is the length of the hypotenuse of a right triangle if one side measures 4.5 meters and the other side measures 9 meters?1) 10.1 meters
2) 20.3 meters
3) 101.3 meters
4) 202.6 meters

Answers

C squared= a squared + b squared
C squared = 4.5 squared + 9 squared
C squared = 20.25 + 81
C squared = 101.25
Square root 101.25 you get 10.06 round up and you get the answer to be number 1
the answer is 1) 10.1 meters

According to the pythagora theorum,

h² = a² + b²

h² = 4.5² + 9²

= 20.25 + 81

thus, h² = 101.25

thus, h = √101.25

thus, h = 10.06230589 units,   or 10.1  rounded to the nearest tenth

-4(y - 2) = 12

Answer ASAP plz

Answers

Answer: The answer is -1

Step-by-step explanation:

-4(y - 2) = 12

-4y + 8 = 12

      - 8   - 8

_____________

  -4y  =  4

  ________

  -4        -4

      y = -1

115 = 5k equations and inequalities
help pl0x

Answers

Answer:

\sf{115 = 5k}

: \implies \sf{5k = 115}

: \implies \sf{k = \cancel(115)/(5) }

: \implies \sf{k = 23}
Answer: 23

Explanation:

115=5k
115/5=5/5k
23=k

I need some help pretty please!

Answers

Answer:

 Number & Cost($)

 Feet & Yards

Step-by-step explanation:

  Number & Cost:

      (2, 38), (4, 76)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (76 - 38) / (4 - 2)

                     = 38 / 2

                     = 19             <====== k the constant

      y = kx

      y = 19x

      point (2, 38):    38 = 19(2)   ===>      38 = 38

      point (4, 76):    76 = 19(4)   ===>      76 = 76

      point (7, 133):  133 = 19(7)   ===>    133 = 133

      point (9, 171):   171 = 19(9)   ===>     171 = 171

  Feet & Yards:

      (27, 9), (75, 25)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (25 - 9) / (75 - 27)

                     = 16 / 48

                     = 1/3             <====== k the constant

      y = kx

      y = 1/3x

      point (3, 1):           1 = 1/3(3)      ===>     1 = 1

      point (12, 4):        4 = 1/3(12)    ===>     4 = 4

      point (27, 9):       9 = 1/3(27)   ===>     9 = 9

      point (75, 25):   25 = 1/3(75)   ===>   25 = 25
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