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ArbitrLikvidat [17]
3 years ago
11

Find the coordinates of the midpoint ofL(2, -4), M(4, 6)

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

\displaystyle (3,1)

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>Algebra I</u>

  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point L(2, -4)

Point M(4, 6)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [MF]:                    \displaystyle (\frac{2+4}{2},\frac{-4+6}{2})
  2. [Fraction] Add:                                     \displaystyle (\frac{6}{2},\frac{2}{2})
  3. [Fraction] Divide:                                 \displaystyle (3,1)
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No, it would be 72

Step-by-step explanation:

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I need help, pls and thx
Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

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Create a list of steps, in order, that will solve the following equation.
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Step-by-step explanation:

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Simplify (5.1)(5.12)4.<br><br> (5.1)6<br> (5.1)7<br> (5.1)8<br> (5.1)9
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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

<h3>How to simplify the expression?</h3>

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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