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GREYUIT [131]
3 years ago
14

Create a line segment that is exactly 10 units in length and has a midpoint of (-3,4)

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:  A segment AB with Endpoints A (-8, 4) and B (2,4) is a horizontal line segment with (-3,4) as the midpoint.

A segment CD with endpoints C(-3,9) and D(-3,-1) will create a vertical line segment with (-3,4) as the midpoint.

A line segment FG with endpoints F (-6,0) and G(0,8) is a diagonal line with a slope of 4/3 and its midpoint is (-3,4)

Step-by-step explanation: For a horizontal or vertical line segment, choose the x-value or the y value of the midpoint. subtract 5 to get the lower endpoint, add 5 to get the higher endpoint. Keep the other coordinate the same.

The diagonal line segment is based on the hypotenuse of a triangle with side lengths corresponding to the Pythagorean Triple 3,4,5  Add and subtract 3 to the x-value od the midpoint, add and subtract 4 to the y value of the midpoint and the hypotenuses will extend 5 units in both directions from the midpoint.

Maybe TMI, bit I am hoping to earn a Brainliest.

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Which of the following has no solution?
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Answer:

  (x + 1 < 1) ∩ (x + 1 > 1)

Step-by-step explanation:

By subtracting 1 from both sides of each of the inequalities, the sets of inequalities resolve to ...

1. x < -2 ∩ x < 0 . . . . solution: x < -2

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4 years ago
Jug A has 0.1 litres more than jug B. Jug C has 200 millilitres less than jug B. Jug D has ¼ of the amount that is in jug A. The
Gnesinka [82]

Answer:

A = 0.8 litres

B = 0.7 litres

C = 0.5 litres

D = 0.2 litres

Step-by-step explanation

Here's what we know:

1. Jug A = B + .1 litres

2. Jug C = B - 200 (or 0.2 litres)

3. Jug D = .25 x A

4. Jug A + Jug B = 1.5 litres

In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.  

B + .1 litres + B = 1.5 litres

2B + .1 = 1.5

Subtract .01 from each side and you have 2B = 1.4

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Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)

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