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natita [175]
3 years ago
6

Evaluate the expression (ab)^2for a = 4 and b = 3.

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0

Answer:

144

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<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(ab)²

<em>a </em>= 4

<em>b</em> = 3

<u>Step 2: Evaluate</u>

  1. Substitute in variables:                                                                                     [4(3)]²
  2. [Brackets] Multiply:                                                                                           12²
  3. Exponents:                                                                                                        144
nasty-shy [4]3 years ago
3 0

Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

If this helps please mark as brainliest

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Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run
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ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

5x + y = 28

y = 2 - x

Substitute the given value of y into the equation 5x + y = 28

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Move constant to R.H.S and change its sign

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Subtract the numbers

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Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

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x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

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Solve the equation for y

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The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

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