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Pani-rosa [81]
2 years ago
6

Where is the midpoint of AB if A(6,4) and B(5,-2)?

Mathematics
1 answer:
Nikitich [7]2 years ago
3 0

Answer:

Midpoint={5.5,1}

Step-by-step explanation:

M={x1+x2/2,y1+y2/2}

M={6+5/2,-2+4/2}

M={11/2,2/2}

M={5.5,1}

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Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.
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Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

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42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x              

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8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

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A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

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