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pochemuha
3 years ago
14

Please help me answer and explain number 55

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

D

Step-by-step explanation:

An operation of two real numbers is defined by the rule

a\bigotimes b=b^a+2ab

Calculate 2\bigotimes (1\bigotimes 3). First evaluate the expression in brackets:

1\bigotimes 3=1^3+2\cdot 1\cdot 3=1+6=7

Now,

2\bigotimes (1\bigotimes 3)=2\bigotimes 7=2^7+2\cdot 2\cdot 7=128+28=156

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Find the distance between the points (13,20) and (18,8)​
steposvetlana [31]

Answer:

(5,12)

Step-by-step explanation:

because 18-13=5 and 20-8=12

5 0
3 years ago
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The sum of 4 consecutive integers is 40 what is the third number in this sequence?
Dmitry [639]
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40                     The third number in the sequence is x+2
4x+6=40                                           8.5+2=10.5
4x+6-6=40-6                               Therefore the third number in the sequence is
4x=34                                             10.5
4x/4=34/4
x=8.5
3 0
3 years ago
6x-5y=15 x=y+3 find x and y
arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

6x - 5y = 15

x = y + 3

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = y + 3
  2. Substitute in <em>y</em>:                                                                                                   x = -3 + 3
  3. Add:                                                                                                                   x = 0
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3 years ago
A trapezoid has an area of 50 square units. The lengths of the bases are 10 units and 15 units. find the height.
Lera25 [3.4K]

Step-by-step explanation:

area = ( base 1 + base 2 ) ÷ 2 x height

50 = ( 10 + 15) ÷2 x height

50 ÷ 12.5 = height

height = 4

5 0
2 years ago
If a 10-foot piece of electrical tape has five pieces that are each 1.25 feet cut from it, what is the new length of the tape?
BartSMP [9]
5 pieces X 1.25 = 6.25

10-6.25 = 3.75 is the new length
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