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Colt1911 [192]
3 years ago
10

If A is (-2,6) and B is (4,-2), what is the midpoint of AB

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
Given two points:
A(x₁,y₁) and B(x₂,y₂) the midpoint would be:
M((x₁+x₂)/2 , (y₁+y₂)/2)
In this case:_
A(-2,6) and B(4,-2); the midpoint would be:
M((-2+4)/2 , (6-2)/2)=(1,2)

Answer: the midpoint of AB is (1,2)
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Answer:

D = 90°

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Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

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The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
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      Reject the negative length.
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Case (b): x = 1
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    The sides are 1, 1 and 1.

Case (c): x>1
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  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

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