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Rudiy27
3 years ago
6

Round to the nearest tenth if necessary.

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

B) 25

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>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, -8)

Point (-4, -4)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-3)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{9+16}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{25}
  5. [√Radical] Evaluate:                                                                                           \displaystyle d = 5
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The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.

To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.

The term 5² = 25.

The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.

Taking the terms back to the expression, we get:

4(5² - 3 - 2x)²

= 4(25 - 3 - 10)²

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= 576.

Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

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brainly.com/question/723406

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