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MrRa [10]
3 years ago
14

Find the midpoint of A and B where A has coordinates (-7, 1) and B has coordinates (3,-5).

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

A (-7, 1) = (X1, Y1)

B (3, -5) = (X1, Y2)

Now,

Mid point = (X1 + X2÷2, Y1 + Y2 ÷ 2)

= {-7+3÷2, 1+(-5)÷2}

= (-4÷2, 1-5÷2)

= (-4÷2, -4÷2)

= (-2, -2)

Step-by-step explanation:

I hope it will help you to study.

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Step-by-step explanation:

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
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No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

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  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

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