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kotegsom [21]
2 years ago
5

Find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1)

Mathematics
1 answer:
Veronika [31]2 years ago
8 0

Answer:

(-1.5, 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: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Endpoint A (-2, 1)

Endpoint B (-1, 1)

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

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

  1. Substitute [MF]:                    (\frac{-2-1}{2},\frac{1+1}{2})
  2. Subtract/Add:                       (\frac{-3}{2},\frac{2}{2})
  3. Divide:                                  (-1.5, 1)
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35 solve the following syste
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Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

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                  13y=74

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Substituting y=5.692 in x=3 y-18, we get,

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Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

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3 (3)+4 (7)>20

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Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

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3 years ago
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