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vlada-n [284]
3 years ago
6

Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she

in the process of constructing?

Mathematics
2 answers:
Kaylis [27]3 years ago
7 0
Layla is creating a polygon with 4 equal sides in a circle.
This will be a regular polygon with 4 equal sides and 4 equal angles,

Layla is creating a square inside a circle.
inessss [21]3 years ago
6 0

Answer:

The polygon she is trying to construct is square.

Step-by-step explanation:

<em>Construct: a square inscribed in a circle.</em>

STEPS:

1. Using your compass, draw a circle and label the center O.

2. Using your straightedge, draw a diameter of the circle, labeling the endpoints A and C.

3. Construct the perpendicular bisector of the diameter, AC

4. Label the points where the bisector intersects the circle as B and D.

5. Connect points A to B to C to D to form the square.


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–3 = –2x2 + 2x
wel

Answer:

Determine the next step for solving the quadratic equation by completing the square.

0 = –2x2 + 2x + 3

–3 = –2x2 + 2x

–3 = –2(x2 – x)

–3 + = –2(x2 – x + )

StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2

StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2

The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction

-7/2 = -2(x - ½)²

Step-by-step explanation:

0 = –2x^2 + 2x + 3

Subtract 3 from each side

-3 = –2x^2 + 2x

Factor out the -2

-3 =- 2(x^2 -x)

Take the coefficient of x and divide by 2 and square it

-1 /2 = -1/2 ^2 = 1/4

Add it to each side  Remember the -2 on the outside so we need to multiply it by -2  

-2 *1/4 =  -1/2

-3 -1/2= -2(x^2 -x +1/4)

-7/2 = -2(x^2 -x +1/4)

-7/2 = -2(x-1/2)^2

7/2 = -2(x - ½)²

4 0
3 years ago
Read 2 more answers
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