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adoni [48]
3 years ago
10

What is the midpoint of the segment shown below ?

Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Plug in the point values to solve for the midpoint:

(\frac{5+5}{2}, \frac{-3+4}{2}  )

Simplify:

(\frac{10}{2}, \frac{1}{2})

(5, 1/2) is the midpoint.

kogti [31]3 years ago
3 0

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

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Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

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Step  3  :

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Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

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Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

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