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ohaa [14]
3 years ago
5

Which ordered pairs are in the solution set of the system of linear inequalities? y > -1/2x y <1/2 x + 1

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Look at the picture.

y=-\dfrac{1}{2}x\\\\for\ x=0\to y=-\dfrac{1}{2}\cdot0=0\to(0;\ 0)\\\\for\ x=2\to y=-\dfrac{1}{2}\cdot2=-1\to(2;\ -1)\\\\\\y=\dfrac{1}{2}x+1\\\\for\ x=-2\to y=\dfrac{1}{2}\cdot(-2)+1=-1+1=0\to(-2;\ 0)\\\\for\ x=0\to y=\dfrac{1}{2}\cdot0+1=1\to(0;\ 1)

Answer: Every points on orange area.

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Helpppp me quick number 9
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3 years ago
Construct an equilateral triangle of side 7cm and construct circumcircle.
zalisa [80]

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

  1. With a ruler and a pencil, draw a 7cm line.
  2. With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
  3. With the same compass, still at 7cm, draw an arc centered around the left end of the line.
  4. These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
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<em>You now have an equilateral triangle with 7cm sides.  Next you need to draw the circle</em>

  1. Measure the halfway point on two of your three lines.
  2. Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
  3. You have now drawn two line segments, and they intersect in the center of the circle.  Now take your compass and set its radius to the distance from that center point to one of the three corner points.
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And you're done!

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3 years ago
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bija089 [108]
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4 years ago
If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi?
bagirrra123 [75]

Answer:

D - Area = 9/16pi cm²

Step-by-step explanation:

in order to evaluate this question , we will first of all find the radius using the formula for finding the circumference of a circle , we will then find the area of a circle.

<u>solution</u>

given that circumference of a circle = 3/2picm

recall that the formula for finding the circumference of a circle = 2πr

3/2picm = 2πr

multiply through by 2

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divide both side by 4pi

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r = 3/4 picm

Recall that the Area of  a circle = πr²

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Area = 9/16pi cm²

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Answer:

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