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podryga [215]
2 years ago
9

Describe and correct the error a student made in finding the midpoint of CD with ​C(​4,5) and ​D(​1,​4).

Mathematics
1 answer:
Andru [333]2 years ago
6 0

Using the given information, the midpoint of CD is (2.5, 4.5)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of line CD

The midpoint of a line is given by the formula,

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

From the given information, we are to find the midpoint of line CD with coordinates C(​4,5) and ​D(​1,​4)

∴ x₁ = 4

x₂ = 1

y₁ = 5

y₂ = 4

Putting the parameters into the formula for midpoint, we get

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

[(4 + 1)/2 , (5 + 4)/2]

(5/2 , 9/2)

(2.5, 4.5)

Hence, the midpoint of CD is (2.5, 4.5)

Learn more on Midpoint of a line here: brainly.com/question/896396

#SPJ1

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Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

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Solving for \frac{dg(y)}{dy}

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