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zhuklara [117]
3 years ago
10

–3 = –2x2 + 2x

Mathematics
2 answers:
wel3 years ago
4 0

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

just olya [345]3 years ago
3 0

Answer:

-1/2

1/4

1/2

Step-by-step explanation:

in that order on edgenuity

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cestrela7 [59]

Answer:

Line s and Line t are parallel.

Step-by-step explanation:

Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.

By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.

I hope you find my answer and explanation to be helpful. Happy studying.

5 0
3 years ago
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Arlecino [84]
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set y=1.25 for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance x between the y-axis x=0 and the curve y=\sqrt x. In terms of y, this distance is x=y^2. The height of each cross section is twice the value of y, so the area of each rectangular cross section should be 2y^3.

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3 years ago
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4 years ago
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netineya [11]

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

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If you are trying to find for y, then you forgot to equate it to 0, that is:

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