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almond37 [142]
3 years ago
13

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

WE use mid point formula

(\frac{x_1+x_2}{2} , \frac{y_2+y_2}{2})

Here (x1,y1) is (4,3) and (x2,y2) is (-2,6)

Plug in all the values in the formula

(\frac{4-2}{2} ,\frac{3+6}{2})

(\frac{2}{2} , \frac{9}{2})

(1, 4.5)

The x- value of midpoint is x=1

erastova [34]3 years ago
3 0
Midpoint = (x1+x2)/2 and (y1+y2)/2 =  so just solving for
x gives (4+(-2))/2 = 1


not asked for but the y value is (3+6)/2 = 9/2 = 4.5 so the ordered pair is (1, 4.5)
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Please help worth a lot of points!!!
V125BC [204]

<u>Let's solve this problem step by step</u>

<u />2x+3=4(x-6)    |    Given Equation

2x+3=4x-24     |    Distributive Property of Multiplication over subtraction

3=2x-24             |    Subtraction Property of Equality

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\frac{27}{2}=x                     |     Division Property of Equality

<em>Definition of each property</em>:

  • <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
  • <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
  • <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>

<em />

Hope that helps!

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